Compare commits
1 Commits
main
...
feature-3d
| Author | SHA1 | Date |
|---|---|---|
Mike Lynch
|
c8ce499b22 |
189
cellindex.js
189
cellindex.js
|
|
@ -1,188 +1 @@
|
|||
|
||||
export const LAYER_NAMES = {
|
||||
0: "North pole",
|
||||
1: "Arctic circle",
|
||||
2: "North temperate",
|
||||
3: "Tropic of Cancer",
|
||||
4: "Equator",
|
||||
5: "Tropic of Capricorn",
|
||||
6: "South temperate",
|
||||
7: "Antarctic circle (all)"
|
||||
};
|
||||
|
||||
|
||||
export const INDEX120 = {
|
||||
"1": [
|
||||
27,38,48,49,61,68,74,87,95,98,105,120, 126,131,140,149,156,165,174,
|
||||
179,185,200,207,210,218,223,226,231,234,239,241,248,252,253,258,263,
|
||||
265,272,274,279,284,285,289,296,300,301,306,311,313,320,324,325,331,
|
||||
334,339,342,347,350,356,357,362,367,369,376,378,383,388,389,393,400,
|
||||
403,406,413,414,419,420,425,427,438,440,444,448,449,453,458,460,469,
|
||||
471,473,474,487,488,490,494,499,503,511,512,513,514,525,527,530,532,
|
||||
539,543,546,550,555,558,563,566,572,573,580,581,585,592,593,600
|
||||
],
|
||||
"2":[
|
||||
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,
|
||||
30,31,34,35,37,40,41,44,46,47,50,51,53,56,57,60,62,63,66,67,69,72,73,
|
||||
76,78,79,82,83,85,88,90,91,93,96,97,100,102,103,106,107,109,112,113,
|
||||
116,118,119,122,123,125,128,129,132,134,135,138,139,141,144,145,148,
|
||||
150,151,154,155,157,160,161,164,166,167,170,171,173,176,177,180,182,
|
||||
183,186,187,189,192,193,196,198,199,202,203,205,208,209,212,214,215
|
||||
],
|
||||
"3":[
|
||||
26,39,45,52,64,65,75,86,94,99,108,117,127,130,137,152,153,168,175,
|
||||
178,188,197,206,211,219,222,227,230,235,238,244,245,251,254,257,264,
|
||||
268,269,273,280,283,286,292,293,299,302,305,312,316,317,321,328,330,
|
||||
335,338,343,348,349,355,358,363,366,370,375,377,384,385,392,394,399,
|
||||
404,405,415,416,417,418,426,428,437,439,441,445,452,456,457,459,470,
|
||||
472,475,476,485,486,491,495,498,502,509,510,515,516,526,528,529,531,
|
||||
538,542,547,551,554,559,562,567,569,576,577,584,588,589,596,597
|
||||
],
|
||||
"4":[
|
||||
32,33,43,54,58,71,77,84,92,101,110,115,121,136,143,146,159,162,169,
|
||||
184,190,195,204,213,220,221,228,229,236,237,242,247,249,256,260,261,
|
||||
266,271,276,277,281,288,290,295,297,304,308,309,315,318,322,327,329,
|
||||
336,340,341,346,351,354,359,361,368,371,374,379,382,387,390,396,397,
|
||||
401,408,409,410,423,424,430,432,433,435,443,447,450,454,461,463,466,
|
||||
468,477,478,483,484,489,493,500,504,507,508,517,518,522,524,533,535,
|
||||
540,544,545,549,553,560,561,568,570,575,578,583,587,590,595,598
|
||||
],
|
||||
"5":[
|
||||
29,36,42,55,59,70,80,81,89,104,111,114,124,133,142,147,158,163,172,
|
||||
181,191,194,201,216,217,224,225,232,233,240,243,246,250,255,259,262,
|
||||
267,270,275,278,282,287,291,294,298,303,307,310,314,319,323,326,332,
|
||||
333,337,344,345,352,353,360,364,365,372,373,380,381,386,391,395,398,
|
||||
402,407,411,412,421,422,429,431,434,436,442,446,451,455,462,464,465,
|
||||
467,479,480,481,482,492,496,497,501,505,506,519,520,521,523,534,536,
|
||||
537,541,548,552,556,557,564,565,571,574,579,582,586,591,594,599
|
||||
]
|
||||
};
|
||||
|
||||
|
||||
export const LAYERS120 = {
|
||||
"0": [154,266,158,222,218,250,254,162,268,156,160,252,256,166,270,272,
|
||||
164,220,224,168],
|
||||
"1": [2,318,314,30,414,510,362,26,506,410,338,458,462,110,
|
||||
106,6,350,346,34,482,418,474,330,442,450,98,90,14,
|
||||
364,28,508,476,394,570,572,124,122,478,348,32,480,
|
||||
512,396,576,574,126,128,8,352,38,422,486,334,454,
|
||||
446,94,102,514,366,518,342,470,466,114,118,16,368,
|
||||
36,484,516,398,580,578,130,132,412,316,420,332,452,
|
||||
444,92,100,4,320,416,340,464,460,108,112,40,488,424,
|
||||
336,448,456,104,96,520,400,582,584,136,134,344,468,472,120,116],
|
||||
"2":[246,242,42,170,426,50,434,178,226,322,46,430,174,54,182,438,326,
|
||||
230,78,558,526,62,494,542,590,142,74,554,386,300,298,202,290,206,
|
||||
522,58,538,490,138,586,236,234,186,60,540,188,282,378,66,546,194,
|
||||
68,196,548,382,286,498,82,562,530,146,594,76,556,204,80,208,560,
|
||||
388,292,588,44,428,492,140,524,64,544,380,238,190,240,192,284,
|
||||
592,496,432,48,528,144,70,198,550,72,552,200,288,384,502,534,566,
|
||||
86,598,150,390,302,210,304,214,294,84,212,564,88,568,216,296,392,
|
||||
596,500,436,52,532,148,324,244,172,248,180,228,176,56,440,184,232,
|
||||
328,504,536,152,600],
|
||||
"3":[369,273,275,371,17,353,257,261,357,9,401,305,306,402,21,307,308,
|
||||
403,22,404,259,263,355,11,359,277,279,373,19,375,309,310,405,23,
|
||||
406,258,262,354,10,358,274,276,370,18,372,356,260,264,360,12,407,
|
||||
311,312,408,24,374,278,280,376,20],"4":[229,325,173,45,429,493,
|
||||
141,525,589,289,385,557,77,205,201,137,521,553,73,585,285,381,
|
||||
193,65,545,593,145,497,529,225,321,433,49,177,139,587,491,281,377,
|
||||
539,59,187,283,379,189,61,541,197,287,199,237,239,191,293,389,213,
|
||||
149,533,565,85,597,295,391,211,147,531,563,83,595,227,323,171,43,
|
||||
427,523,151,503,535,231,327,439,55,183,599,383,551,71,87,215,567,
|
||||
169,241,245,181,489,425,41,185,233,235,195,537,57,591,543,63,495,
|
||||
143,549,69,501,179,499,435,51,175,431,47,527,203,291,387,555,75,
|
||||
207,299,297,559,79,437,53,209,561,81,301,303,547,67,243,247],
|
||||
"5":[457,337,461,105,109,469,341,465,117,113,89,97,441,449,329,93,445,
|
||||
101,453,333,573,395,125,127,575,121,569,393,123,571,451,331,443,
|
||||
99,91,129,577,131,579,397,107,459,111,339,463,95,447,335,103,455,
|
||||
133,135,581,583,399,115,119,467,471,343
|
||||
],
|
||||
"6":[1,417,313,409,413,317,421,5,475,345,473,481,349,483,33,513,507,
|
||||
13,363,511,7,487,351,485,37,517,15,519,367,515,3,423,319,415,39,
|
||||
25,505,509,477,29,411,27,479,347,31,365,419,35,315,361
|
||||
],
|
||||
"7":[217,153,221,157,265,161,165,269,249,253,251,255,267,159,155,
|
||||
163,219,271,223,167]
|
||||
};
|
||||
|
||||
// Schoute's partition via https://arxiv.org/abs/1010.4353
|
||||
|
||||
export const PARTITION600 = {
|
||||
|
||||
"2,0,0,0": 1,
|
||||
"0,2,0,0": 1,
|
||||
"0,0,2,0": 1,
|
||||
"0,0,0,2": 1,
|
||||
"1,1,1,1": 1,
|
||||
"1,1,-1,-1": 1,
|
||||
"1,-1,1,-1": 1,
|
||||
"1,-1,-1,1": 1,
|
||||
"1,-1,-1,-1": 1,
|
||||
"1,-1,1,1": 1,
|
||||
"1,1,-1,1": 1,
|
||||
"1,1,1,-1": 1,
|
||||
|
||||
"k,0,-t,-1": 2,
|
||||
"0,k,1,-t": 2,
|
||||
"t,-1,k,0": 2,
|
||||
"1,t,0,k": 2,
|
||||
"t,k,0,-1": 2,
|
||||
"1,0,k,t": 2,
|
||||
"k,-t,-1,0": 2,
|
||||
"0,1,-t,k": 2,
|
||||
"1,k,t,0": 2,
|
||||
"t,0,-1,k": 2,
|
||||
"0,t,-k,-1": 2,
|
||||
"k,-1,0,-t": 2,
|
||||
|
||||
"t,0,1,k": 3,
|
||||
"0,t,-k,1": 3,
|
||||
"1,-k,-t,0": 3,
|
||||
"k,1,0,-t": 3,
|
||||
"0,k,1,t": 3,
|
||||
"t,1,-k,0": 3,
|
||||
"k,0,t,-1": 3,
|
||||
"1,-t,0,k": 3,
|
||||
"t,-k,0,-1": 3,
|
||||
"0,1,-t,-k": 3,
|
||||
"1,0,-k,t": 3,
|
||||
"k,t,1,0": 3,
|
||||
|
||||
"t,0,-1,-k": 4,
|
||||
"0,t,k,-1": 4,
|
||||
"1,-k,t,0": 4,
|
||||
"k,1,0,t": 4,
|
||||
"t,1,k,0": 4,
|
||||
"0,k,-1,-t": 4,
|
||||
"1,-t,0,-k": 4,
|
||||
"k,0,-t,1": 4,
|
||||
"0,1,t,k": 4,
|
||||
"t,-k,0,1": 4,
|
||||
"k,t,-1,0": 4,
|
||||
"1,0,k,-t": 4,
|
||||
|
||||
"k,0,t,1": 5,
|
||||
"0,k,-1,t": 5,
|
||||
"t,-1,-k,0": 5,
|
||||
"1,t,0,-k": 5,
|
||||
"1,0,-k,-t": 5,
|
||||
"t,k,0,1": 5,
|
||||
"0,1,t,-k": 5,
|
||||
"k,-t,1,0": 5,
|
||||
"t,0,1,-k": 5,
|
||||
"1,k,-t,0": 5,
|
||||
"k,-1,0,t": 5,
|
||||
"0,t,k,1": 5
|
||||
};
|
||||
|
||||
|
||||
|
||||
export const LAYERS600 = {
|
||||
"0":[2,42,46,50,54,106,110,44,48,52,56,108,112],
|
||||
"1":[10,12,14,16,18,20,22,24,34,36,38,40,98,102,100,104,90,92,94,96],
|
||||
"2":[26,58,74,28,76,30,60,32,62,78,80,64],
|
||||
"3":[3,4,5,6,7,8,65,113,81,66,114,82,67,115,83,68,116,84,69,117,85,70,118,86,71,119,87,72,120,88],
|
||||
"4":[25,29,27,31,57,61,59,63,73,75,77,79],
|
||||
"5":[97,101,99,103,33,35,37,39,89,91,93,95,9,11,13,15,17,19,21,23],
|
||||
"6":[41,105,49,43,51,45,107,47,109,53,55,111],
|
||||
"7":[1]
|
||||
};
|
||||
export const INDEX = {"1": [ 27,38,48,49,61,68,74,87,95,98,105,120, 126,131,140,149,156,165,174,179,185,200,207,210,218,223,226,231,234,239,241,248,252,253,258,263,265,272,274,279,284,285,289,296,300,301,306,311,313,320,324,325,331,334,339,342,347,350,356,357,362,367,369,376,378,383,388,389,393,400,403,406,413,414,419,420,425,427,438,440,444,448,449,453,458,460,469,471,473,474,487,488,490,494,499,503,511,512,513,514,525,527,530,532,539,543,546,550,555,558,563,566,572,573,580,581,585,592,593,600],"2":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,30,31,34,35,37,40,41,44,46,47,50,51,53,56,57,60,62,63,66,67,69,72,73,76,78,79,82,83,85,88,90,91,93,96,97,100,102,103,106,107,109,112,113,116,118,119,122,123,125,128,129,132,134,135,138,139,141,144,145,148,150,151,154,155,157,160,161,164,166,167,170,171,173,176,177,180,182,183,186,187,189,192,193,196,198,199,202,203,205,208,209,212,214,215],"3":[26,39,45,52,64,65,75,86,94,99,108,117,127,130,137,152,153,168,175,178,188,197,206,211,219,222,227,230,235,238,244,245,251,254,257,264,268,269,273,280,283,286,292,293,299,302,305,312,316,317,321,328,330,335,338,343,348,349,355,358,363,366,370,375,377,384,385,392,394,399,404,405,415,416,417,418,426,428,437,439,441,445,452,456,457,459,470,472,475,476,485,486,491,495,498,502,509,510,515,516,526,528,529,531,538,542,547,551,554,559,562,567,569,576,577,584,588,589,596,597],"4":[32,33,43,54,58,71,77,84,92,101,110,115,121,136,143,146,159,162,169,184,190,195,204,213,220,221,228,229,236,237,242,247,249,256,260,261,266,271,276,277,281,288,290,295,297,304,308,309,315,318,322,327,329,336,340,341,346,351,354,359,361,368,371,374,379,382,387,390,396,397,401,408,409,410,423,424,430,432,433,435,443,447,450,454,461,463,466,468,477,478,483,484,489,493,500,504,507,508,517,518,522,524,533,535,540,544,545,549,553,560,561,568,570,575,578,583,587,590,595,598],"5":[29,36,42,55,59,70,80,81,89,104,111,114,124,133,142,147,158,163,172,181,191,194,201,216,217,224,225,232,233,240,243,246,250,255,259,262,267,270,275,278,282,287,291,294,298,303,307,310,314,319,323,326,332,333,337,344,345,352,353,360,364,365,372,373,380,381,386,391,395,398,402,407,411,412,421,422,429,431,434,436,442,446,451,455,462,464,465,467,479,480,481,482,492,496,497,501,505,506,519,520,521,523,534,536,537,541,548,552,556,557,564,565,571,574,579,582,586,591,594,599]};
|
||||
|
|
|
|||
20
colours.js
20
colours.js
|
|
@ -1,20 +1,14 @@
|
|||
import ColorScheme from 'color-scheme';
|
||||
import Color from 'color';
|
||||
|
||||
export const get_colours = (basis) => {
|
||||
const basis_c = Color(basis);
|
||||
const hslb = basis_c.hsl();
|
||||
const hue = hslb['color'][0];
|
||||
const saturation = hslb['color'][1];
|
||||
const luminance = hslb['color'][2];
|
||||
const scheme = new ColorScheme;
|
||||
scheme.from_hue(hue).scheme("tetrade").distance(0.75);
|
||||
const colours = scheme.colors().slice(1, 9);
|
||||
colours.reverse();
|
||||
const hsl = colours.map((c) => Color("#" + c).hsl());
|
||||
const resaturated = hsl.map((hslc) => hslc.saturationl(saturation).rgbNumber());
|
||||
resaturated.unshift(basis);
|
||||
return resaturated;
|
||||
const hexbasis = basis.toString(16).padStart(6, "0");
|
||||
scheme.from_hex(hexbasis).scheme("tetrade").variation("hard").distance(0.5);
|
||||
const colours = scheme.colors().map((cs) => parseInt('0x' + cs));
|
||||
const set = colours.slice(1, 6);
|
||||
set.reverse();
|
||||
set.unshift(colours[0]);
|
||||
return set;
|
||||
}
|
||||
|
||||
// basic colours where 0 = blue
|
||||
|
|
|
|||
|
|
@ -2,7 +2,7 @@ import * as THREE from 'three';
|
|||
|
||||
|
||||
const HYPERPLANE = 2.0;
|
||||
const W_FORESHORTENING = 0.04;
|
||||
|
||||
|
||||
class FourDShape extends THREE.Group {
|
||||
|
||||
|
|
@ -15,10 +15,11 @@ class FourDShape extends THREE.Group {
|
|||
this.nodes3 = {};
|
||||
this.links = structure.links;
|
||||
this.faces = ( "faces" in structure ) ? structure.faces : [];
|
||||
this.node_size = structure.geometry.node_size;
|
||||
this.link_size = structure.geometry.link_size;
|
||||
this.node_scale = 1;
|
||||
this.link_scale = 1;
|
||||
this.hyperplane = HYPERPLANE;
|
||||
this.foreshortening = W_FORESHORTENING;
|
||||
this.initShapes();
|
||||
}
|
||||
|
||||
|
|
@ -34,7 +35,7 @@ class FourDShape extends THREE.Group {
|
|||
}
|
||||
}
|
||||
|
||||
makeNode(material, v3, scale) {
|
||||
makeNode(material, v3) {
|
||||
const geometry = new THREE.SphereGeometry(this.node_size);
|
||||
const sphere = new THREE.Mesh(geometry, material);
|
||||
sphere.position.copy(v3);
|
||||
|
|
@ -43,45 +44,33 @@ class FourDShape extends THREE.Group {
|
|||
}
|
||||
|
||||
makeLink(material, link) {
|
||||
const n1 = this.nodes3[link.source];
|
||||
const n2 = this.nodes3[link.target];
|
||||
const s1 = n1.scale;
|
||||
const s2 = n2.scale;
|
||||
const length = n1.v3.distanceTo(n2.v3);
|
||||
const n1 = this.nodes3[link.source].v3;
|
||||
const n2 = this.nodes3[link.target].v3;
|
||||
const length = n1.distanceTo(n2);
|
||||
const centre = new THREE.Vector3();
|
||||
centre.lerpVectors(n1.v3, n2.v3, 0.5);
|
||||
const geometry = new THREE.CylinderGeometry(
|
||||
this.link_scale * s2, this.link_scale * s1, 1,
|
||||
16, 1, true
|
||||
);
|
||||
centre.lerpVectors(n1, n2, 0.5);
|
||||
const geometry = new THREE.CylinderGeometry(this.link_size, this.link_size, 1);
|
||||
const cyl = new THREE.Mesh(geometry, material);
|
||||
const edge = new THREE.Group();
|
||||
edge.add(cyl);
|
||||
edge.position.copy(centre);
|
||||
edge.scale.copy(new THREE.Vector3(1, 1, length));
|
||||
edge.lookAt(n2.v3);
|
||||
edge.lookAt(n2);
|
||||
cyl.rotation.x = Math.PI / 2.0;
|
||||
this.add(edge);
|
||||
return edge;
|
||||
}
|
||||
|
||||
updateLink(link, links_show) {
|
||||
const n1 = this.nodes3[link.source];
|
||||
const n2 = this.nodes3[link.target];
|
||||
const s1 = n1.scale;
|
||||
const s2 = n2.scale;
|
||||
const length = n1.v3.distanceTo(n2.v3);
|
||||
updateLink(link) {
|
||||
const n1 = this.nodes3[link.source].v3;
|
||||
const n2 = this.nodes3[link.target].v3;
|
||||
const length = n1.distanceTo(n2);
|
||||
const centre = new THREE.Vector3();
|
||||
centre.lerpVectors(n1.v3, n2.v3, 0.5);
|
||||
// take the average of the ends as the thickness - as a workaround,
|
||||
// because I haven't worked out how to reshape tapered links without
|
||||
// having to reassign a new geometry to every link
|
||||
const link_mean = this.link_scale * (s1 + s2) * 0.5;
|
||||
link.object.scale.copy(new THREE.Vector3(link_mean, link_mean, length));
|
||||
centre.lerpVectors(n1, n2, 0.5);
|
||||
link.object.scale.copy(new THREE.Vector3(this.link_scale, this.link_scale, length));
|
||||
link.object.position.copy(centre);
|
||||
link.object.lookAt(n2.v3);
|
||||
link.object.lookAt(n2);
|
||||
link.object.children[0].rotation.x = Math.PI / 2.0;
|
||||
link.object.visible = (!links_show || link.label in links_show);
|
||||
}
|
||||
|
||||
|
||||
|
|
@ -110,42 +99,23 @@ class FourDShape extends THREE.Group {
|
|||
}
|
||||
|
||||
|
||||
fourDtoV3_old(x, y, z, w, rotations) {
|
||||
fourDtoV3(x, y, z, w, rotations) {
|
||||
const v4 = new THREE.Vector4(x, y, z, w);
|
||||
for ( const m4 of rotations ) {
|
||||
v4.applyMatrix4(m4);
|
||||
}
|
||||
const k = this.fourDscale(v4.w);
|
||||
const k = this.hyperplane / (this.hyperplane + v4.w);
|
||||
return new THREE.Vector3(v4.x * k, v4.y * k, v4.z * k);
|
||||
}
|
||||
|
||||
fourDscale(w) {
|
||||
return this.hyperplane / ( this.hyperplane + w );
|
||||
}
|
||||
|
||||
fourDrotate(x, y, z, w, rotations) {
|
||||
const v4 = new THREE.Vector4(x, y, z, w);
|
||||
for ( const m4 of rotations ) {
|
||||
v4.applyMatrix4(m4);
|
||||
}
|
||||
return v4;
|
||||
}
|
||||
|
||||
fourDtoV3(v4) {
|
||||
const k = this.fourDscale(v4.w);
|
||||
return new THREE.Vector3(v4.x * k, v4.y * k, v4.z * k);
|
||||
}
|
||||
|
||||
initShapes() {
|
||||
for( const n of this.nodes4 ) {
|
||||
const k = this.fourDscale(n.w);
|
||||
const v3 = new THREE.Vector3(n.x * k, n.y * k, n.z * k);
|
||||
const v3 = this.fourDtoV3(n.x, n.y, n.z, n.w, []);
|
||||
const material = this.getMaterial(n, this.node_ms);
|
||||
this.nodes3[n.id] = {
|
||||
v3: v3,
|
||||
scale: k,
|
||||
label: n.label,
|
||||
object: this.makeNode(material, v3, k)
|
||||
object: this.makeNode(material, v3)
|
||||
};
|
||||
}
|
||||
for( const l of this.links ) {
|
||||
|
|
@ -159,22 +129,17 @@ class FourDShape extends THREE.Group {
|
|||
}
|
||||
|
||||
|
||||
render3(rotations, nodes_show, links_show) {
|
||||
render3(rotations) {
|
||||
this.scalev3 = new THREE.Vector3(this.node_scale, this.node_scale, this.node_scale);
|
||||
for( const n of this.nodes4 ) {
|
||||
const v4 = this.fourDrotate(n.x, n.y, n.z, n.w, rotations);
|
||||
const k = this.fourDscale(v4.w);
|
||||
const v3 = new THREE.Vector3(v4.x * k, v4.y * k, v4.z * k);
|
||||
const s4 = k * this.node_scale * this.foreshortening;
|
||||
const s3 = new THREE.Vector3(s4, s4, s4);
|
||||
const v3 = this.fourDtoV3(n.x, n.y, n.z, n.w, rotations);
|
||||
this.nodes3[n.id].v3 = v3;
|
||||
this.nodes3[n.id].scale = k * this.foreshortening;
|
||||
this.nodes3[n.id].object.position.copy(v3);
|
||||
this.nodes3[n.id].object.scale.copy(s3);
|
||||
this.nodes3[n.id].object.visible = ( !nodes_show || n.label in nodes_show );
|
||||
this.nodes3[n.id].object.scale.copy(this.scalev3);
|
||||
}
|
||||
|
||||
for( const l of this.links ) {
|
||||
this.updateLink(l, links_show);
|
||||
this.updateLink(l);
|
||||
}
|
||||
|
||||
for( const f of this.faces ) {
|
||||
|
|
@ -182,6 +147,7 @@ class FourDShape extends THREE.Group {
|
|||
}
|
||||
}
|
||||
|
||||
|
||||
}
|
||||
|
||||
export { FourDShape };
|
||||
|
|
|
|||
99
gui.js
99
gui.js
|
|
@ -1,26 +1,20 @@
|
|||
import { GUI } from 'lil-gui';
|
||||
|
||||
|
||||
|
||||
const DEFAULTS = {
|
||||
nodesize: 0.25,
|
||||
nodeopacity: 1,
|
||||
linksize: 0.2,
|
||||
linkopacity: 0.75,
|
||||
link2opacity: 0.75,
|
||||
shape: '120-cell',
|
||||
option: 'none',
|
||||
visibility: 5,
|
||||
thickness: 0.25,
|
||||
nodesize: 1.25,
|
||||
linkopacity: 0.5,
|
||||
link2opacity: 0.5,
|
||||
shape: 'five-cubes',
|
||||
inscribed: false,
|
||||
inscribe_all: false,
|
||||
color: 0x3293a9,
|
||||
background: 0xd4d4d4,
|
||||
hyperplane: 0.93,
|
||||
zoom: 1,
|
||||
xRotate: 'YW',
|
||||
yRotate: 'XW',
|
||||
hyperplane: 2,
|
||||
rotation: 'rigid',
|
||||
dtheta: 0,
|
||||
damping: false,
|
||||
captions: true,
|
||||
dpsi: 0,
|
||||
}
|
||||
|
||||
|
|
@ -28,77 +22,50 @@ const DEFAULTS = {
|
|||
|
||||
class FourDGUI {
|
||||
|
||||
constructor(shapes, changeShape, setColor, setBackground, setNodeOpacity,setLinkOpacity, setVisibility, showDocs) {
|
||||
constructor(changeShape, setColor, setBackground, setLinkOpacity) {
|
||||
this.gui = new GUI();
|
||||
const SHAPE_NAMES = shapes.map((s) => s.name);
|
||||
|
||||
this.parseLinkParams();
|
||||
const guiObj = this;
|
||||
this.params = {
|
||||
shape: this.link['shape'],
|
||||
option: this.link['option'],
|
||||
inscribed: this.link['inscribed'],
|
||||
inscribe_all: this.link['inscribe_all'],
|
||||
linksize: this.link['linksize'],
|
||||
thickness: this.link['thickness'],
|
||||
linkopacity: this.link['linkopacity'],
|
||||
link2opacity: this.link['linkopacity'],
|
||||
nodesize: this.link['nodesize'],
|
||||
nodeopacity: this.link['nodeopacity'],
|
||||
depth: this.link['depth'],
|
||||
color: this.link['color'],
|
||||
background: this.link['background'],
|
||||
hyperplane: this.link['hyperplane'],
|
||||
zoom: this.link['zoom'],
|
||||
xRotate: this.link['xRotate'],
|
||||
yRotate: this.link['yRotate'],
|
||||
rotation: this.link['rotation'],
|
||||
damping: false,
|
||||
captions: true,
|
||||
dtheta: this.link['dtheta'],
|
||||
dpsi: this.link['dpsi'],
|
||||
"copy link": function () { guiObj.copyUrl() }
|
||||
};
|
||||
let options_ctrl;
|
||||
this.gui.add(this.params, 'shape', SHAPE_NAMES).onChange((shape) => {
|
||||
const options = this.getShapeOptions(shapes, shape);
|
||||
options_ctrl = options_ctrl.options(options).onChange((option) => {
|
||||
setVisibility(option)
|
||||
});
|
||||
options_ctrl.setValue(options[0])
|
||||
changeShape(shape)
|
||||
});
|
||||
const options = this.getShapeOptions(shapes, this.params['shape']);
|
||||
options_ctrl = this.gui.add(this.params, 'option').options(options).onChange((option) => {
|
||||
setVisibility(option)
|
||||
});
|
||||
this.gui.add(this.params, 'hyperplane', 0.5, 1 / 0.8);
|
||||
this.gui.add(this.params, 'zoom', 0.1, 2.0);
|
||||
this.gui.add(this.params, 'nodesize', 0, 1);
|
||||
this.gui.add(this.params, 'nodeopacity', 0, 1).onChange(setNodeOpacity);
|
||||
this.gui.add(this.params, 'linksize', 0, 1);
|
||||
|
||||
this.gui.add(this.params, 'shape',
|
||||
[ 'dodecahedron', 'five-cubes', '5-cell', '16-cell', 'tesseract',
|
||||
'24-cell', '600-cell', '120-cell' ]
|
||||
).onChange(changeShape)
|
||||
this.gui.add(this.params, 'inscribed').onChange(changeShape);
|
||||
this.gui.add(this.params, 'inscribe_all').onChange(changeShape);
|
||||
this.gui.add(this.params, 'hyperplane', 1.5, 2.25);
|
||||
this.gui.add(this.params, 'thickness', 0.1, 2);
|
||||
this.gui.add(this.params, 'linkopacity', 0, 1).onChange(
|
||||
(v) => setLinkOpacity(v, true)
|
||||
);
|
||||
this.gui.add(this.params, 'link2opacity', 0, 1).onChange(
|
||||
(v) => setLinkOpacity(v, false)
|
||||
);
|
||||
this.gui.add(this.params, 'nodesize', 0.1, 4);
|
||||
this.gui.addColor(this.params, 'color').onChange(setColor);
|
||||
this.gui.addColor(this.params, 'background').onChange(setBackground);
|
||||
this.gui.add(this.params, 'xRotate', [ 'YW', 'YZ', 'ZW' ]);
|
||||
this.gui.add(this.params, 'yRotate', [ 'XZ', 'XY', 'XW' ]);
|
||||
this.gui.add(this.params, 'captions').onChange(showDocs);
|
||||
this.gui.add(this.params, 'rotation', [ 'rigid', 'tumbling', 'inside-out', 'axisymmetrical' ]);
|
||||
this.gui.add(this.params, 'damping');
|
||||
this.gui.add(this.params, 'copy link');
|
||||
|
||||
}
|
||||
|
||||
getShapeOptions(shapes, shape) {
|
||||
const spec = shapes.filter((s) => s.name === shape);
|
||||
if( spec && spec[0].options ) {
|
||||
return spec[0].options.map((o) => o.name);
|
||||
} else {
|
||||
return [];
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
numParam(param, parser) {
|
||||
|
|
@ -128,7 +95,7 @@ class FourDGUI {
|
|||
const guiObj = this;
|
||||
|
||||
this.urlParams = this.linkUrl.searchParams;
|
||||
for( const param of [ "shape", "xRotate", "yRotate", "option" ]) {
|
||||
for( const param of [ "shape", "rotation" ]) {
|
||||
const value = this.urlParams.get(param);
|
||||
if( value ) {
|
||||
this.link[param] = value;
|
||||
|
|
@ -140,12 +107,10 @@ class FourDGUI {
|
|||
this.link[param] = ( this.urlParams.get(param) === 'y' );
|
||||
}
|
||||
this.link['hyperplane'] = this.numParam('hyperplane', parseFloat);
|
||||
this.link['zoom'] = this.numParam('zoom', parseFloat);
|
||||
this.link['linksize'] = this.numParam('linksize', parseFloat);
|
||||
this.link['thickness'] = this.numParam('thickness', parseFloat);
|
||||
this.link['linkopacity'] = this.numParam('linkopacity', parseFloat);
|
||||
this.link['link2opacity'] = this.numParam('link2opacity', parseFloat);
|
||||
this.link['nodesize'] = this.numParam('nodesize', parseFloat);
|
||||
this.link['nodeopacity'] = this.numParam('nodeopacity', parseFloat);
|
||||
this.link['color'] = this.numParam('color', (s) => guiObj.stringToHex(s));
|
||||
this.link['background'] = this.numParam('background', (s) => guiObj.stringToHex(s));
|
||||
this.link['dpsi'] = this.numParam('dpsi', parseFloat);
|
||||
|
|
@ -156,20 +121,16 @@ class FourDGUI {
|
|||
copyUrl() {
|
||||
const url = new URL(this.linkUrl.origin + this.linkUrl.pathname);
|
||||
url.searchParams.append("shape", this.params.shape);
|
||||
url.searchParams.append("option", this.params.option);
|
||||
url.searchParams.append("inscribed", this.params.inscribed ? 'y': 'n');
|
||||
url.searchParams.append("inscribe_all", this.params.inscribe_all ? 'y': 'n');
|
||||
url.searchParams.append("linksize", this.params.linksize.toString());
|
||||
url.searchParams.append("thickness", this.params.thickness.toString());
|
||||
url.searchParams.append("nodesize", this.params.nodesize.toString());
|
||||
url.searchParams.append("nodeopacity", this.params.nodesize.toString());
|
||||
url.searchParams.append("linkopacity", this.params.nodeopacity.toString());
|
||||
url.searchParams.append("link2opacity", this.params.link2opacity.toString());
|
||||
url.searchParams.append("linkopacity", this.params.thickness.toString());
|
||||
url.searchParams.append("link2opacity", this.params.nodesize.toString());
|
||||
url.searchParams.append("color", this.hexToString(this.params.color));
|
||||
url.searchParams.append("background", this.hexToString(this.params.background));
|
||||
url.searchParams.append("hyperplane", this.params.hyperplane.toString());
|
||||
url.searchParams.append("zoom", this.params.zoom.toString());
|
||||
url.searchParams.append("xRotate", this.params.xRotate);
|
||||
url.searchParams.append("yRotate", this.params.yRotate);
|
||||
url.searchParams.append("rotation", this.params.rotation);
|
||||
url.searchParams.append("dtheta", this.params.dtheta.toString());
|
||||
url.searchParams.append("dpsi", this.params.dpsi.toString());
|
||||
this.copyTextToClipboard(url);
|
||||
|
|
@ -217,4 +178,4 @@ class FourDGUI {
|
|||
}
|
||||
|
||||
|
||||
export { FourDGUI, DEFAULTS };
|
||||
export { FourDGUI, DEFAULTS };
|
||||
12
index.html
12
index.html
|
|
@ -5,15 +5,6 @@
|
|||
<title>FourD</title>
|
||||
<style>
|
||||
body { margin: 0; }
|
||||
div#description {
|
||||
position: fixed;
|
||||
top: 0;
|
||||
left: 0;
|
||||
width: 20%;
|
||||
z-index: 2;
|
||||
font-family: sans-serif;
|
||||
padding: 1em;
|
||||
}
|
||||
div#info {
|
||||
position: fixed;
|
||||
bottom:0;
|
||||
|
|
@ -25,8 +16,7 @@
|
|||
</head>
|
||||
<body>
|
||||
<script type="module" src="/main.js"></script>
|
||||
<div id="description"></div>
|
||||
<div id="info">by <a target="_blank" href="https://mikelynch.org/">Mike Lynch</a> -
|
||||
<a target="_blank" href="https://git.tilde.town/bombinans/fourdjs">source</a></div>
|
||||
<a target="_blank" href="https://github.com/spikelynch/fourdjs">source</a></div>
|
||||
</body>
|
||||
</html>
|
||||
173
layer600cell.js
173
layer600cell.js
|
|
@ -1,173 +0,0 @@
|
|||
|
||||
|
||||
import * as POLYTOPES from './polytopes.js';
|
||||
|
||||
// face detection for the 600-cell
|
||||
|
||||
|
||||
export function nodes_links(links, nodeid) {
|
||||
return links.filter((l) => l.source === nodeid || l.target === nodeid);
|
||||
}
|
||||
|
||||
|
||||
export function linked(links, n1, n2) {
|
||||
const ls = nodes_links(nodes_links(links, n1), n2);
|
||||
if( ls.length ) {
|
||||
return ls[0]
|
||||
} else {
|
||||
return false;
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
function fingerprint(ids) {
|
||||
const sids = [...ids];
|
||||
sids.sort();
|
||||
return sids.join(',');
|
||||
}
|
||||
|
||||
|
||||
export function make_600cell() {
|
||||
const nodes = POLYTOPES.make_600cell_vertices();
|
||||
const links = POLYTOPES.auto_detect_edges(nodes, 12);
|
||||
return {
|
||||
nodes: nodes,
|
||||
links: links
|
||||
}
|
||||
}
|
||||
|
||||
export function link_to_tetras(nodes, links, link) {
|
||||
const n1 = link.source;
|
||||
const n2 = link.target;
|
||||
const nl1 = nodes_links(links, n1).filter((l) => l.id !== link.id);
|
||||
const nl2 = nodes_links(links, n2).filter((l) => l.id !== link.id);
|
||||
const p1 = new Set();
|
||||
const p = new Set();
|
||||
for( const nl of nl1 ) {
|
||||
if( nl.source !== n1 ) {
|
||||
p1.add(nl.source);
|
||||
}
|
||||
if( nl.target !== n1 ) {
|
||||
p1.add(nl.target);
|
||||
}
|
||||
}
|
||||
for( const nl of nl2 ) {
|
||||
if( nl.source !== n2 && p1.has(nl.source) ) {
|
||||
p.add(nl.source);
|
||||
}
|
||||
if( nl.target !== n2 && p1.has(nl.target) ) {
|
||||
p.add(nl.target);
|
||||
}
|
||||
}
|
||||
const lp = Array.from(p);
|
||||
const seen = {};
|
||||
const tetras = [];
|
||||
for( const p1 of lp ) {
|
||||
for( const p2 of lp ) {
|
||||
if( p1 != p2 ) {
|
||||
if( linked(links, p1, p2) ) {
|
||||
const fp = fingerprint([n1, n2, p1, p2]);
|
||||
if( !seen[fp] ) {
|
||||
seen[fp] = true;
|
||||
tetras.push({fingerprint: fp, nodes: [n1, n2, p1, p2]})
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
return tetras;
|
||||
}
|
||||
|
||||
|
||||
export function auto_600cell_cells(nodes, links) {
|
||||
const seen = {};
|
||||
const tetras = [];
|
||||
links.map((link) => {
|
||||
link_to_tetras(nodes, links, link).map((lt) => {
|
||||
if( !seen[lt.fingerprint] ) {
|
||||
seen[lt.fingerprint] = true;
|
||||
tetras.push(lt.nodes);
|
||||
}
|
||||
})
|
||||
});
|
||||
|
||||
return tetras;
|
||||
}
|
||||
|
||||
|
||||
function node_by_id(nodes, nid) {
|
||||
const ns = nodes.filter((n) => n.id === nid);
|
||||
return ns[0];
|
||||
}
|
||||
|
||||
|
||||
export function tetra_w(nodes, tetra) {
|
||||
let w = 0;
|
||||
for( const nid of tetra ) {
|
||||
const node = node_by_id(nodes, nid);
|
||||
w += node.w;
|
||||
}
|
||||
return w / 4;
|
||||
}
|
||||
|
||||
export function sorted_600cells() {
|
||||
const cell600 = make_600cell();
|
||||
const tetras = auto_600cell_cells(cell600.nodes, cell600.links);
|
||||
const layers = tetras.map((t) => { return { "nodes": t, w: tetra_w(cell600.nodes, t) } });
|
||||
layers.sort((a, b) => b.w - a.w);
|
||||
return layers;
|
||||
}
|
||||
|
||||
// const cell600 = make_600cell();
|
||||
|
||||
// const layers = sorted_600cells(cell600.nodes, cell600.links);
|
||||
// for( const cell of layers ) {
|
||||
// // const fp = fingerprint(cell.nodes);
|
||||
// console.log(`${cell.w} ${cell.nodes}`);
|
||||
// }
|
||||
|
||||
export function make_layered_600cell() {
|
||||
const tetras = sorted_600cells()
|
||||
|
||||
const LAYERS = [
|
||||
[ "00", 20 ],
|
||||
[ "01", 20 ],
|
||||
[ "02", 30 ],
|
||||
[ "03", 60 ],
|
||||
[ "04", 60 ],
|
||||
[ "05", 60 ],
|
||||
[ "06", 20 ],
|
||||
[ "07", 60 ],
|
||||
[ "08", 20 ],
|
||||
[ "09", 60 ],
|
||||
[ "10", 60 ],
|
||||
[ "11", 60 ],
|
||||
[ "12", 30 ],
|
||||
[ "13", 20 ],
|
||||
[ "14", 20 ]
|
||||
];
|
||||
|
||||
const vertices = {};
|
||||
const seen = {};
|
||||
let i = 0;
|
||||
|
||||
for( const layer of LAYERS ) {
|
||||
const label = layer[0];
|
||||
const n = layer[1];
|
||||
vertices[label] = [];
|
||||
console.log(`Layer ${label} starting at ${i}`);
|
||||
for( const t of tetras.slice(i, i + n) ) {
|
||||
console.log(t);
|
||||
for( const n of t.nodes ) {
|
||||
if( !seen[n] ) {
|
||||
vertices[label].push(n);
|
||||
seen[n] = true;
|
||||
}
|
||||
}
|
||||
}
|
||||
i += n;
|
||||
}
|
||||
return JSON.stringify(vertices);
|
||||
}
|
||||
|
||||
|
||||
147
main.js
147
main.js
|
|
@ -3,13 +3,12 @@ import * as THREE from 'three';
|
|||
|
||||
|
||||
import * as POLYTOPES from './polytopes.js';
|
||||
import { rotfn } from './rotation.js';
|
||||
import { get_rotation } from './rotation.js';
|
||||
import { FourDGUI, DEFAULTS } from './gui.js';
|
||||
import { FourDShape } from './fourDShape.js';
|
||||
import { get_colours } from './colours.js';
|
||||
|
||||
const FACE_OPACITY = 0.3;
|
||||
const CAMERA_K = 5;
|
||||
|
||||
// scene, lights and camera
|
||||
|
||||
|
|
@ -24,10 +23,7 @@ scene.add(light);
|
|||
const amblight = new THREE.AmbientLight(0xffffff, 0.5);
|
||||
scene.add(amblight);
|
||||
|
||||
camera.position.set(0, 0, CAMERA_K / 2);
|
||||
|
||||
camera.lookAt(0, 0, 0);
|
||||
//camera.position.z = 4;
|
||||
camera.position.z = 4;
|
||||
|
||||
const renderer = new THREE.WebGLRenderer({antialias: true});
|
||||
renderer.setSize( window.innerWidth, window.innerHeight );
|
||||
|
|
@ -47,19 +43,11 @@ material.opacity = 0.5;
|
|||
const node_ms = node_colours.map((c) => new THREE.MeshStandardMaterial({color: c}));
|
||||
const link_ms = node_colours.map((c) => new THREE.MeshStandardMaterial({color: c}));
|
||||
|
||||
node_ms.map((m) => {
|
||||
m.transparent = true;
|
||||
m.opacity = 1.0;
|
||||
}
|
||||
);
|
||||
|
||||
link_ms.map((m) => {
|
||||
m.transparent = true;
|
||||
m.opacity = 0.5;
|
||||
}
|
||||
);
|
||||
|
||||
|
||||
)
|
||||
|
||||
const face_ms = [
|
||||
new THREE.MeshLambertMaterial( { color: 0x44ff44 } )
|
||||
|
|
@ -71,46 +59,54 @@ for( const face_m of face_ms ) {
|
|||
}
|
||||
|
||||
|
||||
const STRUCTURES = POLYTOPES.build_all();
|
||||
const STRUCTURES = {
|
||||
'5-cell': POLYTOPES.cell5(),
|
||||
'16-cell': POLYTOPES.cell16(),
|
||||
'tesseract': POLYTOPES.tesseract(),
|
||||
'24-cell': POLYTOPES.cell24(),
|
||||
'dodecahedron': POLYTOPES.dodecahedron(),
|
||||
'five-cubes': POLYTOPES.five_cubes(),
|
||||
'120-cell': POLYTOPES.cell120(),
|
||||
'600-cell': POLYTOPES.cell600(),
|
||||
};
|
||||
|
||||
const STRUCTURES_BY_NAME = {};
|
||||
const INSCRIBED = {
|
||||
'tesseract': POLYTOPES.tesseract_inscribed(),
|
||||
'24-cell': POLYTOPES.cell24_inscribed(),
|
||||
'120-cell': POLYTOPES.cell120_inscribed(),
|
||||
'600-cell': POLYTOPES.cell600_inscribed(),
|
||||
'dodecahedron': POLYTOPES.dodecahedron_inscribed(),
|
||||
'five-cubes': POLYTOPES.five_cubes_inscribed(),
|
||||
};
|
||||
|
||||
STRUCTURES.map((s) => STRUCTURES_BY_NAME[s.name] = s);
|
||||
const ALL_INSCRIBED = {
|
||||
'tesseract': POLYTOPES.tesseract_all_inscribed(),
|
||||
'24-cell': POLYTOPES.cell24_all_inscribed(),
|
||||
'120-cell': POLYTOPES.cell120_all_inscribed(),
|
||||
'600-cell': POLYTOPES.cell600_all_inscribed(),
|
||||
'dodecahedron': POLYTOPES.dodecahedron_all_inscribed(),
|
||||
'five-cubes': POLYTOPES.five_cubes_all_inscribed(),
|
||||
}
|
||||
|
||||
let shape = false;
|
||||
let structure = false;
|
||||
let node_show = [];
|
||||
let link_show = [];
|
||||
|
||||
|
||||
function createShape(name, option) {
|
||||
function createShape(name, inscribed, all) {
|
||||
if( shape ) {
|
||||
scene.remove(shape);
|
||||
}
|
||||
structure = STRUCTURES_BY_NAME[name];
|
||||
let structure = STRUCTURES[name];
|
||||
if( inscribed ) {
|
||||
if( name in INSCRIBED ) {
|
||||
if( all ) {
|
||||
structure = ALL_INSCRIBED[name];
|
||||
} else {
|
||||
structure = INSCRIBED[name];
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
shape = new FourDShape(node_ms, link_ms, face_ms, structure);
|
||||
scene.add(shape);
|
||||
setVisibility(option ? option : structure.options[0].name);
|
||||
}
|
||||
|
||||
function displayDocs(name) {
|
||||
const docdiv = document.getElementById("description");
|
||||
const description = STRUCTURES_BY_NAME[name].description;
|
||||
if( description ) {
|
||||
docdiv.innerHTML =`<p>${name}</p><p>${description}</p>`;
|
||||
} else {
|
||||
docdiv.innerHTML =`<p>${name}</p>`;
|
||||
}
|
||||
}
|
||||
|
||||
function showDocs(visible) {
|
||||
console.log(`showDocs ${visible}`);
|
||||
const docdiv = document.getElementById("description");
|
||||
if( visible ) {
|
||||
docdiv.style.display = '';
|
||||
} else {
|
||||
docdiv.style.display = 'none';
|
||||
}
|
||||
}
|
||||
|
||||
// initialise gui and read params from URL
|
||||
|
|
@ -132,51 +128,23 @@ function setBackground(c) {
|
|||
}
|
||||
|
||||
function setLinkOpacity(o, primary) {
|
||||
if( structure.nolink2opacity ) {
|
||||
link_ms.map((lm) => lm.opacity = o);
|
||||
if( primary ) {
|
||||
link_ms[0].opacity = o;
|
||||
} else {
|
||||
if( primary ) {
|
||||
link_ms[0].opacity = o;
|
||||
} else {
|
||||
link_ms.slice(1).map((lm) => lm.opacity = o);
|
||||
for( const lm of link_ms.slice(1) ) {
|
||||
lm.opacity = o;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
function setNodeOpacity(o) {
|
||||
node_ms.map((nm) => nm.opacity = o);
|
||||
}
|
||||
|
||||
|
||||
let gui;
|
||||
|
||||
let gui; //
|
||||
|
||||
function changeShape() {
|
||||
createShape(gui.params.shape);
|
||||
displayDocs(gui.params.shape);
|
||||
console.log("change shape!")
|
||||
createShape(gui.params.shape, gui.params.inscribed, gui.params.inscribe_all);
|
||||
}
|
||||
|
||||
function setVisibility(option_name) {
|
||||
const option = structure.options.filter((o) => o.name === option_name);
|
||||
if( option.length ) {
|
||||
node_show = option[0].nodes;
|
||||
link_show = option[0].links;
|
||||
} else {
|
||||
console.log(`Error: option '${option_name}' not found`);
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
gui = new FourDGUI(
|
||||
STRUCTURES,
|
||||
changeShape,
|
||||
setColors,
|
||||
setBackground,
|
||||
setNodeOpacity,
|
||||
setLinkOpacity,
|
||||
setVisibility,
|
||||
showDocs
|
||||
);
|
||||
gui = new FourDGUI(changeShape, setColors, setBackground, setLinkOpacity);
|
||||
|
||||
// these are here to pick up colour settings from the URL params
|
||||
setColors(gui.params.color);
|
||||
|
|
@ -219,8 +187,7 @@ renderer.domElement.addEventListener("pointerup", (event) => {
|
|||
dragging = false;
|
||||
})
|
||||
|
||||
createShape(gui.params.shape, gui.params.option);
|
||||
displayDocs(gui.params.shape);
|
||||
createShape(gui.params.shape, gui.params.inscribed, gui.params.inscribe_all);
|
||||
|
||||
function animate() {
|
||||
requestAnimationFrame( animate );
|
||||
|
|
@ -234,18 +201,12 @@ function animate() {
|
|||
}
|
||||
}
|
||||
|
||||
const rotations = [
|
||||
rotfn[gui.params.xRotate](theta),
|
||||
rotfn[gui.params.yRotate](psi)
|
||||
];
|
||||
shape.hyperplane = 1 / gui.params.hyperplane;
|
||||
camera.position.set(0, 0, gui.params.zoom * CAMERA_K * gui.params.hyperplane);
|
||||
const rotations = get_rotation(gui.params.rotation, theta, psi);
|
||||
|
||||
shape.hyperplane = gui.params.hyperplane;
|
||||
shape.link_scale = gui.params.thickness;
|
||||
shape.node_scale = gui.params.nodesize;
|
||||
shape.link_scale = gui.params.linksize * gui.params.nodesize * 0.5;
|
||||
shape.render3(rotations, node_show, link_show);
|
||||
|
||||
|
||||
shape.render3(rotations);
|
||||
|
||||
renderer.render( scene, camera );
|
||||
}
|
||||
|
|
|
|||
|
|
@ -4,11 +4,9 @@
|
|||
"requires": true,
|
||||
"packages": {
|
||||
"": {
|
||||
"name": "fourdjs",
|
||||
"dependencies": {
|
||||
"color": "^4.2.3",
|
||||
"color-scheme": "^1.0.1",
|
||||
"lil-gui": "^0.19.0",
|
||||
"lil-gui": "^0.18.2",
|
||||
"three": "^0.154.0"
|
||||
},
|
||||
"devDependencies": {
|
||||
|
|
@ -16,9 +14,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/android-arm": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/android-arm/-/android-arm-0.18.20.tgz",
|
||||
"integrity": "sha512-fyi7TDI/ijKKNZTUJAQqiG5T7YjJXgnzkURqmGj13C6dCqckZBLdl4h7bkhHt/t0WP+zO9/zwroDvANaOqO5Sw==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/android-arm/-/android-arm-0.18.15.tgz",
|
||||
"integrity": "sha512-wlkQBWb79/jeEEoRmrxt/yhn5T1lU236OCNpnfRzaCJHZ/5gf82uYx1qmADTBWE0AR/v7FiozE1auk2riyQd3w==",
|
||||
"cpu": [
|
||||
"arm"
|
||||
],
|
||||
|
|
@ -32,9 +30,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/android-arm64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/android-arm64/-/android-arm64-0.18.20.tgz",
|
||||
"integrity": "sha512-Nz4rJcchGDtENV0eMKUNa6L12zz2zBDXuhj/Vjh18zGqB44Bi7MBMSXjgunJgjRhCmKOjnPuZp4Mb6OKqtMHLQ==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/android-arm64/-/android-arm64-0.18.15.tgz",
|
||||
"integrity": "sha512-NI/gnWcMl2kXt1HJKOn2H69SYn4YNheKo6NZt1hyfKWdMbaGadxjZIkcj4Gjk/WPxnbFXs9/3HjGHaknCqjrww==",
|
||||
"cpu": [
|
||||
"arm64"
|
||||
],
|
||||
|
|
@ -48,9 +46,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/android-x64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/android-x64/-/android-x64-0.18.20.tgz",
|
||||
"integrity": "sha512-8GDdlePJA8D6zlZYJV/jnrRAi6rOiNaCC/JclcXpB+KIuvfBN4owLtgzY2bsxnx666XjJx2kDPUmnTtR8qKQUg==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/android-x64/-/android-x64-0.18.15.tgz",
|
||||
"integrity": "sha512-FM9NQamSaEm/IZIhegF76aiLnng1kEsZl2eve/emxDeReVfRuRNmvT28l6hoFD9TsCxpK+i4v8LPpEj74T7yjA==",
|
||||
"cpu": [
|
||||
"x64"
|
||||
],
|
||||
|
|
@ -64,9 +62,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/darwin-arm64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/darwin-arm64/-/darwin-arm64-0.18.20.tgz",
|
||||
"integrity": "sha512-bxRHW5kHU38zS2lPTPOyuyTm+S+eobPUnTNkdJEfAddYgEcll4xkT8DB9d2008DtTbl7uJag2HuE5NZAZgnNEA==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/darwin-arm64/-/darwin-arm64-0.18.15.tgz",
|
||||
"integrity": "sha512-XmrFwEOYauKte9QjS6hz60FpOCnw4zaPAb7XV7O4lx1r39XjJhTN7ZpXqJh4sN6q60zbP6QwAVVA8N/wUyBH/w==",
|
||||
"cpu": [
|
||||
"arm64"
|
||||
],
|
||||
|
|
@ -80,9 +78,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/darwin-x64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/darwin-x64/-/darwin-x64-0.18.20.tgz",
|
||||
"integrity": "sha512-pc5gxlMDxzm513qPGbCbDukOdsGtKhfxD1zJKXjCCcU7ju50O7MeAZ8c4krSJcOIJGFR+qx21yMMVYwiQvyTyQ==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/darwin-x64/-/darwin-x64-0.18.15.tgz",
|
||||
"integrity": "sha512-bMqBmpw1e//7Fh5GLetSZaeo9zSC4/CMtrVFdj+bqKPGJuKyfNJ5Nf2m3LknKZTS+Q4oyPiON+v3eaJ59sLB5A==",
|
||||
"cpu": [
|
||||
"x64"
|
||||
],
|
||||
|
|
@ -96,9 +94,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/freebsd-arm64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/freebsd-arm64/-/freebsd-arm64-0.18.20.tgz",
|
||||
"integrity": "sha512-yqDQHy4QHevpMAaxhhIwYPMv1NECwOvIpGCZkECn8w2WFHXjEwrBn3CeNIYsibZ/iZEUemj++M26W3cNR5h+Tw==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/freebsd-arm64/-/freebsd-arm64-0.18.15.tgz",
|
||||
"integrity": "sha512-LoTK5N3bOmNI9zVLCeTgnk5Rk0WdUTrr9dyDAQGVMrNTh9EAPuNwSTCgaKOKiDpverOa0htPcO9NwslSE5xuLA==",
|
||||
"cpu": [
|
||||
"arm64"
|
||||
],
|
||||
|
|
@ -112,9 +110,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/freebsd-x64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/freebsd-x64/-/freebsd-x64-0.18.20.tgz",
|
||||
"integrity": "sha512-tgWRPPuQsd3RmBZwarGVHZQvtzfEBOreNuxEMKFcd5DaDn2PbBxfwLcj4+aenoh7ctXcbXmOQIn8HI6mCSw5MQ==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/freebsd-x64/-/freebsd-x64-0.18.15.tgz",
|
||||
"integrity": "sha512-62jX5n30VzgrjAjOk5orYeHFq6sqjvsIj1QesXvn5OZtdt5Gdj0vUNJy9NIpjfdNdqr76jjtzBJKf+h2uzYuTQ==",
|
||||
"cpu": [
|
||||
"x64"
|
||||
],
|
||||
|
|
@ -128,9 +126,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/linux-arm": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-arm/-/linux-arm-0.18.20.tgz",
|
||||
"integrity": "sha512-/5bHkMWnq1EgKr1V+Ybz3s1hWXok7mDFUMQ4cG10AfW3wL02PSZi5kFpYKrptDsgb2WAJIvRcDm+qIvXf/apvg==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-arm/-/linux-arm-0.18.15.tgz",
|
||||
"integrity": "sha512-dT4URUv6ir45ZkBqhwZwyFV6cH61k8MttIwhThp2BGiVtagYvCToF+Bggyx2VI57RG4Fbt21f9TmXaYx0DeUJg==",
|
||||
"cpu": [
|
||||
"arm"
|
||||
],
|
||||
|
|
@ -144,9 +142,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/linux-arm64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-arm64/-/linux-arm64-0.18.20.tgz",
|
||||
"integrity": "sha512-2YbscF+UL7SQAVIpnWvYwM+3LskyDmPhe31pE7/aoTMFKKzIc9lLbyGUpmmb8a8AixOL61sQ/mFh3jEjHYFvdA==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-arm64/-/linux-arm64-0.18.15.tgz",
|
||||
"integrity": "sha512-BWncQeuWDgYv0jTNzJjaNgleduV4tMbQjmk/zpPh/lUdMcNEAxy+jvneDJ6RJkrqloG7tB9S9rCrtfk/kuplsQ==",
|
||||
"cpu": [
|
||||
"arm64"
|
||||
],
|
||||
|
|
@ -160,9 +158,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/linux-ia32": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-ia32/-/linux-ia32-0.18.20.tgz",
|
||||
"integrity": "sha512-P4etWwq6IsReT0E1KHU40bOnzMHoH73aXp96Fs8TIT6z9Hu8G6+0SHSw9i2isWrD2nbx2qo5yUqACgdfVGx7TA==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-ia32/-/linux-ia32-0.18.15.tgz",
|
||||
"integrity": "sha512-JPXORvgHRHITqfms1dWT/GbEY89u848dC08o0yK3fNskhp0t2TuNUnsrrSgOdH28ceb1hJuwyr8R/1RnyPwocw==",
|
||||
"cpu": [
|
||||
"ia32"
|
||||
],
|
||||
|
|
@ -176,9 +174,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/linux-loong64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-loong64/-/linux-loong64-0.18.20.tgz",
|
||||
"integrity": "sha512-nXW8nqBTrOpDLPgPY9uV+/1DjxoQ7DoB2N8eocyq8I9XuqJ7BiAMDMf9n1xZM9TgW0J8zrquIb/A7s3BJv7rjg==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-loong64/-/linux-loong64-0.18.15.tgz",
|
||||
"integrity": "sha512-kArPI0DopjJCEplsVj/H+2Qgzz7vdFSacHNsgoAKpPS6W/Ndh8Oe24HRDQ5QCu4jHgN6XOtfFfLpRx3TXv/mEg==",
|
||||
"cpu": [
|
||||
"loong64"
|
||||
],
|
||||
|
|
@ -192,9 +190,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/linux-mips64el": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-mips64el/-/linux-mips64el-0.18.20.tgz",
|
||||
"integrity": "sha512-d5NeaXZcHp8PzYy5VnXV3VSd2D328Zb+9dEq5HE6bw6+N86JVPExrA6O68OPwobntbNJ0pzCpUFZTo3w0GyetQ==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-mips64el/-/linux-mips64el-0.18.15.tgz",
|
||||
"integrity": "sha512-b/tmngUfO02E00c1XnNTw/0DmloKjb6XQeqxaYuzGwHe0fHVgx5/D6CWi+XH1DvkszjBUkK9BX7n1ARTOst59w==",
|
||||
"cpu": [
|
||||
"mips64el"
|
||||
],
|
||||
|
|
@ -208,9 +206,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/linux-ppc64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-ppc64/-/linux-ppc64-0.18.20.tgz",
|
||||
"integrity": "sha512-WHPyeScRNcmANnLQkq6AfyXRFr5D6N2sKgkFo2FqguP44Nw2eyDlbTdZwd9GYk98DZG9QItIiTlFLHJHjxP3FA==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-ppc64/-/linux-ppc64-0.18.15.tgz",
|
||||
"integrity": "sha512-KXPY69MWw79QJkyvUYb2ex/OgnN/8N/Aw5UDPlgoRtoEfcBqfeLodPr42UojV3NdkoO4u10NXQdamWm1YEzSKw==",
|
||||
"cpu": [
|
||||
"ppc64"
|
||||
],
|
||||
|
|
@ -224,9 +222,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/linux-riscv64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-riscv64/-/linux-riscv64-0.18.20.tgz",
|
||||
"integrity": "sha512-WSxo6h5ecI5XH34KC7w5veNnKkju3zBRLEQNY7mv5mtBmrP/MjNBCAlsM2u5hDBlS3NGcTQpoBvRzqBcRtpq1A==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-riscv64/-/linux-riscv64-0.18.15.tgz",
|
||||
"integrity": "sha512-komK3NEAeeGRnvFEjX1SfVg6EmkfIi5aKzevdvJqMydYr9N+pRQK0PGJXk+bhoPZwOUgLO4l99FZmLGk/L1jWg==",
|
||||
"cpu": [
|
||||
"riscv64"
|
||||
],
|
||||
|
|
@ -240,9 +238,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/linux-s390x": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-s390x/-/linux-s390x-0.18.20.tgz",
|
||||
"integrity": "sha512-+8231GMs3mAEth6Ja1iK0a1sQ3ohfcpzpRLH8uuc5/KVDFneH6jtAJLFGafpzpMRO6DzJ6AvXKze9LfFMrIHVQ==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-s390x/-/linux-s390x-0.18.15.tgz",
|
||||
"integrity": "sha512-632T5Ts6gQ2WiMLWRRyeflPAm44u2E/s/TJvn+BP6M5mnHSk93cieaypj3VSMYO2ePTCRqAFXtuYi1yv8uZJNA==",
|
||||
"cpu": [
|
||||
"s390x"
|
||||
],
|
||||
|
|
@ -256,9 +254,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/linux-x64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-x64/-/linux-x64-0.18.20.tgz",
|
||||
"integrity": "sha512-UYqiqemphJcNsFEskc73jQ7B9jgwjWrSayxawS6UVFZGWrAAtkzjxSqnoclCXxWtfwLdzU+vTpcNYhpn43uP1w==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/linux-x64/-/linux-x64-0.18.15.tgz",
|
||||
"integrity": "sha512-MsHtX0NgvRHsoOtYkuxyk4Vkmvk3PLRWfA4okK7c+6dT0Fu4SUqXAr9y4Q3d8vUf1VWWb6YutpL4XNe400iQ1g==",
|
||||
"cpu": [
|
||||
"x64"
|
||||
],
|
||||
|
|
@ -272,9 +270,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/netbsd-x64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/netbsd-x64/-/netbsd-x64-0.18.20.tgz",
|
||||
"integrity": "sha512-iO1c++VP6xUBUmltHZoMtCUdPlnPGdBom6IrO4gyKPFFVBKioIImVooR5I83nTew5UOYrk3gIJhbZh8X44y06A==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/netbsd-x64/-/netbsd-x64-0.18.15.tgz",
|
||||
"integrity": "sha512-djST6s+jQiwxMIVQ5rlt24JFIAr4uwUnzceuFL7BQT4CbrRtqBPueS4GjXSiIpmwVri1Icj/9pFRJ7/aScvT+A==",
|
||||
"cpu": [
|
||||
"x64"
|
||||
],
|
||||
|
|
@ -288,9 +286,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/openbsd-x64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/openbsd-x64/-/openbsd-x64-0.18.20.tgz",
|
||||
"integrity": "sha512-e5e4YSsuQfX4cxcygw/UCPIEP6wbIL+se3sxPdCiMbFLBWu0eiZOJ7WoD+ptCLrmjZBK1Wk7I6D/I3NglUGOxg==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/openbsd-x64/-/openbsd-x64-0.18.15.tgz",
|
||||
"integrity": "sha512-naeRhUIvhsgeounjkF5mvrNAVMGAm6EJWiabskeE5yOeBbLp7T89tAEw0j5Jm/CZAwyLe3c67zyCWH6fsBLCpw==",
|
||||
"cpu": [
|
||||
"x64"
|
||||
],
|
||||
|
|
@ -304,9 +302,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/sunos-x64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/sunos-x64/-/sunos-x64-0.18.20.tgz",
|
||||
"integrity": "sha512-kDbFRFp0YpTQVVrqUd5FTYmWo45zGaXe0X8E1G/LKFC0v8x0vWrhOWSLITcCn63lmZIxfOMXtCfti/RxN/0wnQ==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/sunos-x64/-/sunos-x64-0.18.15.tgz",
|
||||
"integrity": "sha512-qkT2+WxyKbNIKV1AEhI8QiSIgTHMcRctzSaa/I3kVgMS5dl3fOeoqkb7pW76KwxHoriImhx7Mg3TwN/auMDsyQ==",
|
||||
"cpu": [
|
||||
"x64"
|
||||
],
|
||||
|
|
@ -320,9 +318,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/win32-arm64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/win32-arm64/-/win32-arm64-0.18.20.tgz",
|
||||
"integrity": "sha512-ddYFR6ItYgoaq4v4JmQQaAI5s7npztfV4Ag6NrhiaW0RrnOXqBkgwZLofVTlq1daVTQNhtI5oieTvkRPfZrePg==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/win32-arm64/-/win32-arm64-0.18.15.tgz",
|
||||
"integrity": "sha512-HC4/feP+pB2Vb+cMPUjAnFyERs+HJN7E6KaeBlFdBv799MhD+aPJlfi/yk36SED58J9TPwI8MAcVpJgej4ud0A==",
|
||||
"cpu": [
|
||||
"arm64"
|
||||
],
|
||||
|
|
@ -336,9 +334,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/win32-ia32": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/win32-ia32/-/win32-ia32-0.18.20.tgz",
|
||||
"integrity": "sha512-Wv7QBi3ID/rROT08SABTS7eV4hX26sVduqDOTe1MvGMjNd3EjOz4b7zeexIR62GTIEKrfJXKL9LFxTYgkyeu7g==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/win32-ia32/-/win32-ia32-0.18.15.tgz",
|
||||
"integrity": "sha512-ovjwoRXI+gf52EVF60u9sSDj7myPixPxqzD5CmkEUmvs+W9Xd0iqISVBQn8xcx4ciIaIVlWCuTbYDOXOnOL44Q==",
|
||||
"cpu": [
|
||||
"ia32"
|
||||
],
|
||||
|
|
@ -352,9 +350,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/@esbuild/win32-x64": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/win32-x64/-/win32-x64-0.18.20.tgz",
|
||||
"integrity": "sha512-kTdfRcSiDfQca/y9QIkng02avJ+NCaQvrMejlsB3RRv5sE9rRoeBPISaZpKxHELzRxZyLvNts1P27W3wV+8geQ==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/@esbuild/win32-x64/-/win32-x64-0.18.15.tgz",
|
||||
"integrity": "sha512-imUxH9a3WJARyAvrG7srLyiK73XdX83NXQkjKvQ+7vPh3ZxoLrzvPkQKKw2DwZ+RV2ZB6vBfNHP8XScAmQC3aA==",
|
||||
"cpu": [
|
||||
"x64"
|
||||
],
|
||||
|
|
@ -367,52 +365,15 @@
|
|||
"node": ">=12"
|
||||
}
|
||||
},
|
||||
"node_modules/color": {
|
||||
"version": "4.2.3",
|
||||
"resolved": "https://registry.npmjs.org/color/-/color-4.2.3.tgz",
|
||||
"integrity": "sha512-1rXeuUUiGGrykh+CeBdu5Ie7OJwinCgQY0bc7GCRxy5xVHy+moaqkpL/jqQq0MtQOeYcrqEz4abc5f0KtU7W4A==",
|
||||
"dependencies": {
|
||||
"color-convert": "^2.0.1",
|
||||
"color-string": "^1.9.0"
|
||||
},
|
||||
"engines": {
|
||||
"node": ">=12.5.0"
|
||||
}
|
||||
},
|
||||
"node_modules/color-convert": {
|
||||
"version": "2.0.1",
|
||||
"resolved": "https://registry.npmjs.org/color-convert/-/color-convert-2.0.1.tgz",
|
||||
"integrity": "sha512-RRECPsj7iu/xb5oKYcsFHSppFNnsj/52OVTRKb4zP5onXwVF3zVmmToNcOfGC+CRDpfK/U584fMg38ZHCaElKQ==",
|
||||
"dependencies": {
|
||||
"color-name": "~1.1.4"
|
||||
},
|
||||
"engines": {
|
||||
"node": ">=7.0.0"
|
||||
}
|
||||
},
|
||||
"node_modules/color-name": {
|
||||
"version": "1.1.4",
|
||||
"resolved": "https://registry.npmjs.org/color-name/-/color-name-1.1.4.tgz",
|
||||
"integrity": "sha512-dOy+3AuW3a2wNbZHIuMZpTcgjGuLU/uBL/ubcZF9OXbDo8ff4O8yVp5Bf0efS8uEoYo5q4Fx7dY9OgQGXgAsQA=="
|
||||
},
|
||||
"node_modules/color-scheme": {
|
||||
"version": "1.0.1",
|
||||
"resolved": "https://registry.npmjs.org/color-scheme/-/color-scheme-1.0.1.tgz",
|
||||
"integrity": "sha512-4x+ya6+z6g9DaTFSfVzTZc8TSjxHuDT40NB43N3XPUkQlF6uujhwH8aeMeq8HBgoQQog/vrYgJ16mt/eVTRXwQ=="
|
||||
},
|
||||
"node_modules/color-string": {
|
||||
"version": "1.9.1",
|
||||
"resolved": "https://registry.npmjs.org/color-string/-/color-string-1.9.1.tgz",
|
||||
"integrity": "sha512-shrVawQFojnZv6xM40anx4CkoDP+fZsw/ZerEMsW/pyzsRbElpsL/DBVW7q3ExxwusdNXI3lXpuhEZkzs8p5Eg==",
|
||||
"dependencies": {
|
||||
"color-name": "^1.0.0",
|
||||
"simple-swizzle": "^0.2.2"
|
||||
}
|
||||
},
|
||||
"node_modules/esbuild": {
|
||||
"version": "0.18.20",
|
||||
"resolved": "https://registry.npmjs.org/esbuild/-/esbuild-0.18.20.tgz",
|
||||
"integrity": "sha512-ceqxoedUrcayh7Y7ZX6NdbbDzGROiyVBgC4PriJThBKSVPWnnFHZAkfI1lJT8QFkOwH4qOS2SJkS4wvpGl8BpA==",
|
||||
"version": "0.18.15",
|
||||
"resolved": "https://registry.npmjs.org/esbuild/-/esbuild-0.18.15.tgz",
|
||||
"integrity": "sha512-3WOOLhrvuTGPRzQPU6waSDWrDTnQriia72McWcn6UCi43GhCHrXH4S59hKMeez+IITmdUuUyvbU9JIp+t3xlPQ==",
|
||||
"dev": true,
|
||||
"hasInstallScript": true,
|
||||
"bin": {
|
||||
|
|
@ -422,34 +383,34 @@
|
|||
"node": ">=12"
|
||||
},
|
||||
"optionalDependencies": {
|
||||
"@esbuild/android-arm": "0.18.20",
|
||||
"@esbuild/android-arm64": "0.18.20",
|
||||
"@esbuild/android-x64": "0.18.20",
|
||||
"@esbuild/darwin-arm64": "0.18.20",
|
||||
"@esbuild/darwin-x64": "0.18.20",
|
||||
"@esbuild/freebsd-arm64": "0.18.20",
|
||||
"@esbuild/freebsd-x64": "0.18.20",
|
||||
"@esbuild/linux-arm": "0.18.20",
|
||||
"@esbuild/linux-arm64": "0.18.20",
|
||||
"@esbuild/linux-ia32": "0.18.20",
|
||||
"@esbuild/linux-loong64": "0.18.20",
|
||||
"@esbuild/linux-mips64el": "0.18.20",
|
||||
"@esbuild/linux-ppc64": "0.18.20",
|
||||
"@esbuild/linux-riscv64": "0.18.20",
|
||||
"@esbuild/linux-s390x": "0.18.20",
|
||||
"@esbuild/linux-x64": "0.18.20",
|
||||
"@esbuild/netbsd-x64": "0.18.20",
|
||||
"@esbuild/openbsd-x64": "0.18.20",
|
||||
"@esbuild/sunos-x64": "0.18.20",
|
||||
"@esbuild/win32-arm64": "0.18.20",
|
||||
"@esbuild/win32-ia32": "0.18.20",
|
||||
"@esbuild/win32-x64": "0.18.20"
|
||||
"@esbuild/android-arm": "0.18.15",
|
||||
"@esbuild/android-arm64": "0.18.15",
|
||||
"@esbuild/android-x64": "0.18.15",
|
||||
"@esbuild/darwin-arm64": "0.18.15",
|
||||
"@esbuild/darwin-x64": "0.18.15",
|
||||
"@esbuild/freebsd-arm64": "0.18.15",
|
||||
"@esbuild/freebsd-x64": "0.18.15",
|
||||
"@esbuild/linux-arm": "0.18.15",
|
||||
"@esbuild/linux-arm64": "0.18.15",
|
||||
"@esbuild/linux-ia32": "0.18.15",
|
||||
"@esbuild/linux-loong64": "0.18.15",
|
||||
"@esbuild/linux-mips64el": "0.18.15",
|
||||
"@esbuild/linux-ppc64": "0.18.15",
|
||||
"@esbuild/linux-riscv64": "0.18.15",
|
||||
"@esbuild/linux-s390x": "0.18.15",
|
||||
"@esbuild/linux-x64": "0.18.15",
|
||||
"@esbuild/netbsd-x64": "0.18.15",
|
||||
"@esbuild/openbsd-x64": "0.18.15",
|
||||
"@esbuild/sunos-x64": "0.18.15",
|
||||
"@esbuild/win32-arm64": "0.18.15",
|
||||
"@esbuild/win32-ia32": "0.18.15",
|
||||
"@esbuild/win32-x64": "0.18.15"
|
||||
}
|
||||
},
|
||||
"node_modules/fsevents": {
|
||||
"version": "2.3.3",
|
||||
"resolved": "https://registry.npmjs.org/fsevents/-/fsevents-2.3.3.tgz",
|
||||
"integrity": "sha512-5xoDfX+fL7faATnagmWPpbFtwh/R77WmMMqqHGS65C3vvB0YHrgF+B1YmZ3441tMj5n63k0212XNoJwzlhffQw==",
|
||||
"version": "2.3.2",
|
||||
"resolved": "https://registry.npmjs.org/fsevents/-/fsevents-2.3.2.tgz",
|
||||
"integrity": "sha512-xiqMQR4xAeHTuB9uWm+fFRcIOgKBMiOBP+eXiyT7jsgVCq1bkVygt00oASowB7EdtpOHaaPgKt812P9ab+DDKA==",
|
||||
"dev": true,
|
||||
"hasInstallScript": true,
|
||||
"optional": true,
|
||||
|
|
@ -460,15 +421,10 @@
|
|||
"node": "^8.16.0 || ^10.6.0 || >=11.0.0"
|
||||
}
|
||||
},
|
||||
"node_modules/is-arrayish": {
|
||||
"version": "0.3.2",
|
||||
"resolved": "https://registry.npmjs.org/is-arrayish/-/is-arrayish-0.3.2.tgz",
|
||||
"integrity": "sha512-eVRqCvVlZbuw3GrM63ovNSNAeA1K16kaR/LRY/92w0zxQ5/1YzwblUX652i4Xs9RwAGjW9d9y6X88t8OaAJfWQ=="
|
||||
},
|
||||
"node_modules/lil-gui": {
|
||||
"version": "0.19.0",
|
||||
"resolved": "https://registry.npmjs.org/lil-gui/-/lil-gui-0.19.0.tgz",
|
||||
"integrity": "sha512-02/Z7rPng3GXWFwkQVj1hQaJYo2fIEYctqe0ima5uI/N2HEagB9ZGCQKkVWr3UuKfTr0arto3Q9prTB8sxtJJw=="
|
||||
"version": "0.18.2",
|
||||
"resolved": "https://registry.npmjs.org/lil-gui/-/lil-gui-0.18.2.tgz",
|
||||
"integrity": "sha512-DgdrLy3/KGC0PiQLKgOcJMPItP4xY4iWgJ9+91Zaxfr8GCTmMps05QS9w9jW7yspILlbscbquwjOwxmWnSx5Uw=="
|
||||
},
|
||||
"node_modules/nanoid": {
|
||||
"version": "3.3.6",
|
||||
|
|
@ -495,9 +451,9 @@
|
|||
"dev": true
|
||||
},
|
||||
"node_modules/postcss": {
|
||||
"version": "8.4.31",
|
||||
"resolved": "https://registry.npmjs.org/postcss/-/postcss-8.4.31.tgz",
|
||||
"integrity": "sha512-PS08Iboia9mts/2ygV3eLpY5ghnUcfLV/EXTOW1E2qYxJKGGBUtNjN76FYHnMs36RmARn41bC0AZmn+rR0OVpQ==",
|
||||
"version": "8.4.27",
|
||||
"resolved": "https://registry.npmjs.org/postcss/-/postcss-8.4.27.tgz",
|
||||
"integrity": "sha512-gY/ACJtJPSmUFPDCHtX78+01fHa64FaU4zaaWfuh1MhGJISufJAH4cun6k/8fwsHYeK4UQmENQK+tRLCFJE8JQ==",
|
||||
"dev": true,
|
||||
"funding": [
|
||||
{
|
||||
|
|
@ -523,9 +479,9 @@
|
|||
}
|
||||
},
|
||||
"node_modules/rollup": {
|
||||
"version": "3.29.4",
|
||||
"resolved": "https://registry.npmjs.org/rollup/-/rollup-3.29.4.tgz",
|
||||
"integrity": "sha512-oWzmBZwvYrU0iJHtDmhsm662rC15FRXmcjCk1xD771dFDx5jJ02ufAQQTn0etB2emNk4J9EZg/yWKpsn9BWGRw==",
|
||||
"version": "3.26.3",
|
||||
"resolved": "https://registry.npmjs.org/rollup/-/rollup-3.26.3.tgz",
|
||||
"integrity": "sha512-7Tin0C8l86TkpcMtXvQu6saWH93nhG3dGQ1/+l5V2TDMceTxO7kDiK6GzbfLWNNxqJXm591PcEZUozZm51ogwQ==",
|
||||
"dev": true,
|
||||
"bin": {
|
||||
"rollup": "dist/bin/rollup"
|
||||
|
|
@ -538,14 +494,6 @@
|
|||
"fsevents": "~2.3.2"
|
||||
}
|
||||
},
|
||||
"node_modules/simple-swizzle": {
|
||||
"version": "0.2.2",
|
||||
"resolved": "https://registry.npmjs.org/simple-swizzle/-/simple-swizzle-0.2.2.tgz",
|
||||
"integrity": "sha512-JA//kQgZtbuY83m+xT+tXJkmJncGMTFT+C+g2h2R9uxkYIrE2yy9sgmcLhCnw57/WSD+Eh3J97FPEDFnbXnDUg==",
|
||||
"dependencies": {
|
||||
"is-arrayish": "^0.3.1"
|
||||
}
|
||||
},
|
||||
"node_modules/source-map-js": {
|
||||
"version": "1.0.2",
|
||||
"resolved": "https://registry.npmjs.org/source-map-js/-/source-map-js-1.0.2.tgz",
|
||||
|
|
@ -561,14 +509,14 @@
|
|||
"integrity": "sha512-Uzz8C/5GesJzv8i+Y2prEMYUwodwZySPcNhuJUdsVMH2Yn4Nm8qlbQe6qRN5fOhg55XB0WiLfTPBxVHxpE60ug=="
|
||||
},
|
||||
"node_modules/vite": {
|
||||
"version": "4.5.3",
|
||||
"resolved": "https://registry.npmjs.org/vite/-/vite-4.5.3.tgz",
|
||||
"integrity": "sha512-kQL23kMeX92v3ph7IauVkXkikdDRsYMGTVl5KY2E9OY4ONLvkHf04MDTbnfo6NKxZiDLWzVpP5oTa8hQD8U3dg==",
|
||||
"version": "4.4.6",
|
||||
"resolved": "https://registry.npmjs.org/vite/-/vite-4.4.6.tgz",
|
||||
"integrity": "sha512-EY6Mm8vJ++S3D4tNAckaZfw3JwG3wa794Vt70M6cNJ6NxT87yhq7EC8Rcap3ahyHdo8AhCmV9PTk+vG1HiYn1A==",
|
||||
"dev": true,
|
||||
"dependencies": {
|
||||
"esbuild": "^0.18.10",
|
||||
"postcss": "^8.4.27",
|
||||
"rollup": "^3.27.1"
|
||||
"postcss": "^8.4.26",
|
||||
"rollup": "^3.25.2"
|
||||
},
|
||||
"bin": {
|
||||
"vite": "bin/vite.js"
|
||||
|
|
|
|||
|
|
@ -1,8 +1,7 @@
|
|||
{
|
||||
"dependencies": {
|
||||
"color": "^4.2.3",
|
||||
"color-scheme": "^1.0.1",
|
||||
"lil-gui": "^0.19.0",
|
||||
"lil-gui": "^0.18.2",
|
||||
"three": "^0.154.0"
|
||||
},
|
||||
"devDependencies": {
|
||||
|
|
|
|||
644
polytopes.js
644
polytopes.js
|
|
@ -1,6 +1,6 @@
|
|||
import * as PERMUTE from './permute.js';
|
||||
|
||||
import * as CELLINDEX from './cellindex.js';
|
||||
import * as CELL120 from './cellindex.js';
|
||||
|
||||
function index_nodes(nodes, scale) {
|
||||
let i = 1;
|
||||
|
|
@ -22,7 +22,7 @@ function dist2(n1, n2) {
|
|||
return (n1.x - n2.x) ** 2 + (n1.y - n2.y) ** 2 + (n1.z - n2.z) ** 2 + (n1.w - n2.w) ** 2;
|
||||
}
|
||||
|
||||
export function auto_detect_edges(nodes, neighbours, debug=false) {
|
||||
function auto_detect_edges(nodes, neighbours, debug=false) {
|
||||
const seen = {};
|
||||
const nnodes = nodes.length;
|
||||
const links = [];
|
||||
|
|
@ -58,15 +58,15 @@ export function auto_detect_edges(nodes, neighbours, debug=false) {
|
|||
// too small and simple to calculate
|
||||
|
||||
export const cell5 = () => {
|
||||
const c1 = Math.sqrt(5) / 4;
|
||||
const r5 = Math.sqrt(5);
|
||||
const r2 = Math.sqrt(2) / 2;
|
||||
return {
|
||||
name: '5-cell',
|
||||
nodes: [
|
||||
{id:1, label: 1, x: c1, y: c1, z: c1, w: -0.25 },
|
||||
{id:2, label: 2, x: c1, y: -c1, z: -c1, w: -0.25 },
|
||||
{id:3, label: 3, x: -c1, y: c1, z: -c1, w: -0.25 },
|
||||
{id:4, label: 4, x: -c1, y: -c1, z: c1, w: -0.25 },
|
||||
{id:5, label: 5, x: 0, y: 0, z: 0, w: 1 },
|
||||
{id:1, label: 1, x: r2, y: r2, z: r2, w: -r2 / r5 },
|
||||
{id:2, label: 2, x: r2, y: -r2, z: -r2, w: -r2 / r5 },
|
||||
{id:3, label: 3, x: -r2, y: r2, z: -r2, w: -r2 / r5 },
|
||||
{id:4, label: 4, x: -r2, y: -r2, z: r2, w: -r2 / r5 },
|
||||
{id:5, label: 5, x: 0, y: 0, z: 0, w: 4 * r2 / r5 },
|
||||
],
|
||||
links: [
|
||||
{ id:1, source:1, target: 2},
|
||||
|
|
@ -80,12 +80,10 @@ export const cell5 = () => {
|
|||
{ id:9, source:3, target: 5},
|
||||
{ id:10, source:4, target: 5},
|
||||
],
|
||||
options: [ { name: '--' }],
|
||||
description: `Five tetrahedra joined at ten faces with three
|
||||
tetrahedra around each edge. The 5-cell is the simplest regular
|
||||
four-D polytope and the four-dimensional analogue of the tetrahedron.
|
||||
A corresponding polytope, or simplex, exists for every n-dimensional
|
||||
space.`,
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
}
|
||||
};
|
||||
};
|
||||
|
||||
|
|
@ -104,18 +102,16 @@ export const cell16 = () => {
|
|||
nodes[1].label = 4;
|
||||
|
||||
index_nodes(nodes);
|
||||
scale_nodes(nodes, 0.5);
|
||||
scale_nodes(nodes, 0.75);
|
||||
const links = auto_detect_edges(nodes, 6);
|
||||
|
||||
return {
|
||||
name: '16-cell',
|
||||
nodes: nodes,
|
||||
links: links,
|
||||
options: [ { name: '--' }],
|
||||
description: `Sixteen tetrahedra joined at 32 faces with four
|
||||
tetrahedra around each edge. The 16-cell is the four-dimensional
|
||||
analogue of the octahedron and is dual to the tesseract. Every
|
||||
n-dimensional space has a corresponding polytope in this family.`,
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
}
|
||||
};
|
||||
};
|
||||
|
||||
|
|
@ -133,37 +129,41 @@ export const tesseract = () => {
|
|||
}
|
||||
}
|
||||
|
||||
scale_nodes(nodes, 0.5);
|
||||
scale_nodes(nodes, Math.sqrt(2) / 2);
|
||||
const links = auto_detect_edges(nodes, 4);
|
||||
links.map((l) => { l.label = 0 });
|
||||
|
||||
for( const p of [ 1, 2 ] ) {
|
||||
const nodes16 = nodes.filter((n) => n.label === p);
|
||||
const links16 = auto_detect_edges(nodes16, 6);
|
||||
links16.map((l) => l.label = p);
|
||||
links.push(...links16);
|
||||
}
|
||||
|
||||
|
||||
return {
|
||||
name: 'Tesseract',
|
||||
nodes: nodes,
|
||||
links: links,
|
||||
options: [
|
||||
{ name: 'none', links: [ 0 ] },
|
||||
{ name: 'one 16-cell', links: [ 0, 1 ] },
|
||||
{ name: 'both 16-cells', links: [ 0, 1, 2 ] },
|
||||
],
|
||||
description: `The most well-known four-dimensional shape, the
|
||||
tesseract is analogous to the cube, and is constructed by placing two
|
||||
cubes in parallel hyperplanes and joining their corresponding
|
||||
vertices. It consists of eight cubes joined at 32 face with three
|
||||
cubes around each edge, and is dual to the 16-cell. Every
|
||||
n-dimensional space has a cube analogue or measure polytope.`,
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
}
|
||||
};
|
||||
}
|
||||
|
||||
|
||||
const tesseract_some_inscribed = (ps) => {
|
||||
const t = tesseract();
|
||||
|
||||
const i_links = [];
|
||||
|
||||
for( const p of ps ) {
|
||||
const nodes16 = t.nodes.filter((n) => n.label === p);
|
||||
const links16 = auto_detect_edges(nodes16, 6);
|
||||
links16.map((l) => l.label = p);
|
||||
i_links.push(...links16);
|
||||
}
|
||||
|
||||
t.links.push(...i_links);
|
||||
return t;
|
||||
}
|
||||
|
||||
|
||||
export const tesseract_inscribed = () => tesseract_some_inscribed([1]);
|
||||
export const tesseract_all_inscribed = () => tesseract_some_inscribed([1,2]);
|
||||
|
||||
|
||||
const CELL24_INDEXING = {
|
||||
x: { y: 1, z: 3, w: 2 },
|
||||
y: { z: 2, w: 3 },
|
||||
|
|
@ -185,17 +185,9 @@ export const cell24 = () => {
|
|||
n.label = CELL24_INDEXING[axes[0]][axes[1]];
|
||||
}
|
||||
|
||||
scale_nodes(nodes, Math.sqrt(2) / 2);
|
||||
index_nodes(nodes);
|
||||
const links = auto_detect_edges(nodes, 8);
|
||||
links.map((l) => l.label = 0);
|
||||
|
||||
for( const p of [ 1, 2, 3 ] ) {
|
||||
const nodes16 = nodes.filter((n) => n.label === p);
|
||||
const links16 = auto_detect_edges(nodes16, 6);
|
||||
links16.map((l) => l.label = p);
|
||||
links.push(...links16);
|
||||
}
|
||||
// links.map((l) => {
|
||||
// const ls = [ l.source, l.target ].map((nid) => node_by_id(nodes, nid).label);
|
||||
// for ( const c of [1, 2, 3] ) {
|
||||
|
|
@ -206,23 +198,35 @@ export const cell24 = () => {
|
|||
// });
|
||||
|
||||
return {
|
||||
name: '24-cell',
|
||||
nodes: nodes,
|
||||
links: links,
|
||||
base: {},
|
||||
options: [
|
||||
{ name: 'none', links: [ 0 ] },
|
||||
{ name: 'one 16-cell', links: [ 0, 1 ] },
|
||||
{ name: 'three 16-cells', links: [ 0, 1, 2, 3 ] }
|
||||
],
|
||||
description: `A unique object without an exact analogue in higher
|
||||
or lower dimensions, the 24-cell is made of twenty-four octahedra
|
||||
joined at 96 faces, with three around each edge. The 24-cell is
|
||||
self-dual.`,
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
}
|
||||
};
|
||||
}
|
||||
|
||||
|
||||
const cell24_some_inscribed = (ps) => {
|
||||
const t = cell24();
|
||||
|
||||
const i_links = [];
|
||||
|
||||
for( const p of ps ) {
|
||||
const nodes16 = t.nodes.filter((n) => n.label === p);
|
||||
const links16 = auto_detect_edges(nodes16, 6);
|
||||
links16.map((l) => l.label = p);
|
||||
i_links.push(...links16);
|
||||
}
|
||||
|
||||
t.links.push(...i_links);
|
||||
return t;
|
||||
}
|
||||
|
||||
|
||||
export const cell24_inscribed = () => cell24_some_inscribed([1]);
|
||||
export const cell24_all_inscribed = () => cell24_some_inscribed([1,2,3]);
|
||||
|
||||
|
||||
|
||||
|
|
@ -304,7 +308,7 @@ function auto_120cell_faces(links) {
|
|||
|
||||
|
||||
|
||||
export function make_120cell_vertices() {
|
||||
function make_120cell_vertices() {
|
||||
const phi = 0.5 * (1 + Math.sqrt(5));
|
||||
const r5 = Math.sqrt(5);
|
||||
const phi2 = phi * phi;
|
||||
|
|
@ -322,14 +326,14 @@ export function make_120cell_vertices() {
|
|||
PERMUTE.coordinates([2, 1, phi, phiinv], 0, true),
|
||||
].flat();
|
||||
index_nodes(nodes);
|
||||
scale_nodes(nodes, 0.25 * Math.sqrt(2));
|
||||
scale_nodes(nodes, 0.5);
|
||||
label_120cell(nodes);
|
||||
|
||||
return nodes;
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
function label_nodes(nodes, ids, label) {
|
||||
nodes.filter((n) => ids.includes(n.id)).map((n) => n.label = label);
|
||||
}
|
||||
|
|
@ -337,8 +341,16 @@ function label_nodes(nodes, ids, label) {
|
|||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
function label_faces_120cell(nodes, faces, cfaces, label) {
|
||||
const ns = new Set();
|
||||
console.log(`label faces from ${cfaces}`);
|
||||
for( const fid of cfaces ) {
|
||||
const face = faces.filter((f)=> f.id === fid );
|
||||
if( face.length > 0 ) {
|
||||
|
|
@ -351,6 +363,33 @@ function label_faces_120cell(nodes, faces, cfaces, label) {
|
|||
}
|
||||
|
||||
|
||||
function basic_auto_label_120cell(nodes, links) {
|
||||
|
||||
const faces = auto_120cell_faces(links);
|
||||
const dodecas = DODECAHEDRA.DODECAHEDRA;
|
||||
//const cfaces = [ 1, 2, 4, 145, 169 ];
|
||||
|
||||
let colour = 1;
|
||||
for( const dd of dodecas ) {
|
||||
label_faces_120cell(nodes, faces, dd, colour);
|
||||
colour++;
|
||||
if( colour > 8 ) {
|
||||
colour = 1;
|
||||
}
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
function label_120cell(nodes) {
|
||||
|
||||
for( const cstr in CELL120.INDEX ) {
|
||||
label_nodes(nodes, CELL120.INDEX[cstr], Number(cstr));
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
function link_labels(nodes, link) {
|
||||
const n1 = nodes.filter((n) => n.id === link.source);
|
||||
const n2 = nodes.filter((n) => n.id === link.target);
|
||||
|
|
@ -358,88 +397,126 @@ function link_labels(nodes, link) {
|
|||
}
|
||||
|
||||
|
||||
// version of the 120-cell where nodes are partitioned by
|
||||
// layer and the links follow that
|
||||
|
||||
export const cell120_layered = (max) => {
|
||||
export const cell120 = () => {
|
||||
const nodes = make_120cell_vertices();
|
||||
const links = auto_detect_edges(nodes, 4);
|
||||
|
||||
nodes.map((n) => n.label = 9); // make all invisible by default
|
||||
|
||||
for (const cstr in CELLINDEX.LAYERS120 ) {
|
||||
label_nodes(nodes, CELLINDEX.LAYERS120[cstr], Number(cstr));
|
||||
}
|
||||
|
||||
links.map((l) => {
|
||||
const labels = link_labels(nodes, l);
|
||||
if( labels[0] >= labels[1] ) {
|
||||
l.label = labels[0];
|
||||
} else {
|
||||
l.label = labels[1];
|
||||
}
|
||||
});
|
||||
|
||||
const options = [];
|
||||
const layers = [];
|
||||
|
||||
for( const i of [ 0, 1, 2, 3, 4, 5, 6, 7 ] ) {
|
||||
layers.push(i);
|
||||
options.push({
|
||||
name: CELLINDEX.LAYER_NAMES[i],
|
||||
links: [...layers],
|
||||
nodes: [...layers]
|
||||
})
|
||||
}
|
||||
label_120cell(nodes);
|
||||
|
||||
return {
|
||||
name: '120-cell layered',
|
||||
nodes: nodes,
|
||||
links: links,
|
||||
nolink2opacity: true,
|
||||
options: options,
|
||||
description: `This version of the 120-cell lets you explore its
|
||||
structure by building each layer from the 'north pole' onwards.`,
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
},
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
const inscribed_polytope = (vertex_fn, edges, inscr_edges, parts) => {
|
||||
const nodes = vertex_fn();
|
||||
const links = auto_detect_edges(nodes, edges);
|
||||
|
||||
const all_links = links;
|
||||
all_links.map((l) => l.label = 0);
|
||||
|
||||
export const cell120_inscribed = () => {
|
||||
const nodes = make_120cell_vertices();
|
||||
const links = auto_detect_edges(nodes, 4);
|
||||
|
||||
for( const cstr in CELLINDEX.INDEX120 ) {
|
||||
label_nodes(nodes, CELLINDEX.INDEX120[cstr], Number(cstr));
|
||||
}
|
||||
|
||||
links.map((l) => l.label = 0);
|
||||
|
||||
for( const p of [ 1, 2, 3, 4, 5 ]) {
|
||||
const nodes600 = nodes.filter((n) => n.label === p);
|
||||
const links600 = auto_detect_edges(nodes600, 12);
|
||||
links600.map((l) => l.label = p);
|
||||
links.push(...links600);
|
||||
for( const p of parts ) {
|
||||
const nodes_in = nodes.filter((n) => n.label === p);
|
||||
const links_in = auto_detect_edges(nodes_in, inscr_edges);
|
||||
links_in.map((l) => l.label = p);
|
||||
all_links.push(...links_in);
|
||||
}
|
||||
|
||||
return {
|
||||
name: '120-cell',
|
||||
nodes: nodes,
|
||||
links: links,
|
||||
options: [
|
||||
{ name: "none", links: [ 0 ]},
|
||||
{ name: "one inscribed 600-cell", links: [ 0, 1 ] },
|
||||
{ name: "five inscribed 600-cells", links: [ 0, 1, 2, 3, 4, 5 ] }
|
||||
],
|
||||
description: `The 120-cell is the four-dimensional analogue of the
|
||||
dodecahedron, and consists of 120 dodecahedra joined at 720 faces,
|
||||
with three dodecahedra around each edge. It is dual to the 600-cell,
|
||||
and five 600-cells can be inscribed in its vertices.`,
|
||||
links: all_links,
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
},
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
export const cell120_inscribed = () => inscribed_polytope(
|
||||
make_120cell_vertices, 4, 12, [1]
|
||||
);
|
||||
export const cell120_all_inscribed = () => inscribed_polytope(
|
||||
make_120cell_vertices, 4, 12, [1,2,3,4,5]
|
||||
);
|
||||
|
||||
|
||||
// Schoute's partition via https://arxiv.org/abs/1010.4353
|
||||
|
||||
const partition600 = {
|
||||
|
||||
"2,0,0,0": 1,
|
||||
"0,2,0,0": 1,
|
||||
"0,0,2,0": 1,
|
||||
"0,0,0,2": 1,
|
||||
"1,1,1,1": 1,
|
||||
"1,1,-1,-1": 1,
|
||||
"1,-1,1,-1": 1,
|
||||
"1,-1,-1,1": 1,
|
||||
"1,-1,-1,-1": 1,
|
||||
"1,-1,1,1": 1,
|
||||
"1,1,-1,1": 1,
|
||||
"1,1,1,-1": 1,
|
||||
|
||||
"k,0,-t,-1": 2,
|
||||
"0,k,1,-t": 2,
|
||||
"t,-1,k,0": 2,
|
||||
"1,t,0,k": 2,
|
||||
"t,k,0,-1": 2,
|
||||
"1,0,k,t": 2,
|
||||
"k,-t,-1,0": 2,
|
||||
"0,1,-t,k": 2,
|
||||
"1,k,t,0": 2,
|
||||
"t,0,-1,k": 2,
|
||||
"0,t,-k,-1": 2,
|
||||
"k,-1,0,-t": 2,
|
||||
|
||||
"t,0,1,k": 3,
|
||||
"0,t,-k,1": 3,
|
||||
"1,-k,-t,0": 3,
|
||||
"k,1,0,-t": 3,
|
||||
"0,k,1,t": 3,
|
||||
"t,1,-k,0": 3,
|
||||
"k,0,t,-1": 3,
|
||||
"1,-t,0,k": 3,
|
||||
"t,-k,0,-1": 3,
|
||||
"0,1,-t,-k": 3,
|
||||
"1,0,-k,t": 3,
|
||||
"k,t,1,0": 3,
|
||||
|
||||
"t,0,-1,-k": 4,
|
||||
"0,t,k,-1": 4,
|
||||
"1,-k,t,0": 4,
|
||||
"k,1,0,t": 4,
|
||||
"t,1,k,0": 4,
|
||||
"0,k,-1,-t": 4,
|
||||
"1,-t,0,-k": 4,
|
||||
"k,0,-t,1": 4,
|
||||
"0,1,t,k": 4,
|
||||
"t,-k,0,1": 4,
|
||||
"k,t,-1,0": 4,
|
||||
"1,0,k,-t": 4,
|
||||
|
||||
"k,0,t,1": 5,
|
||||
"0,k,-1,t": 5,
|
||||
"t,-1,-k,0": 5,
|
||||
"1,t,0,-k": 5,
|
||||
"1,0,-k,-t": 5,
|
||||
"t,k,0,1": 5,
|
||||
"0,1,t,-k": 5,
|
||||
"k,-t,1,0": 5,
|
||||
"t,0,1,-k": 5,
|
||||
"1,k,-t,0": 5,
|
||||
"k,-1,0,t": 5,
|
||||
"0,t,k,1": 5
|
||||
};
|
||||
|
||||
|
||||
|
||||
|
|
@ -481,7 +558,7 @@ function map_coord(i, coords, values) {
|
|||
}
|
||||
|
||||
|
||||
export function make_600cell_vertices() {
|
||||
function make_600cell_vertices() {
|
||||
const coords = {
|
||||
0: '0',
|
||||
1: '1',
|
||||
|
|
@ -505,7 +582,7 @@ export function make_600cell_vertices() {
|
|||
].flat();
|
||||
|
||||
for( const n of nodes ) {
|
||||
n.label = label_vertex(n, coords, CELLINDEX.PARTITION600);
|
||||
n.label = label_vertex(n, coords, partition600);
|
||||
}
|
||||
|
||||
for( const n of nodes ) {
|
||||
|
|
@ -516,7 +593,7 @@ export function make_600cell_vertices() {
|
|||
|
||||
|
||||
index_nodes(nodes);
|
||||
scale_nodes(nodes, 0.5);
|
||||
scale_nodes(nodes, 0.75);
|
||||
return nodes;
|
||||
}
|
||||
|
||||
|
|
@ -530,6 +607,7 @@ function get_node(nodes, id) {
|
|||
}
|
||||
|
||||
function audit_link_labels(nodes, links) {
|
||||
console.log("Link audit");
|
||||
for( const l of links ) {
|
||||
const n1 = get_node(nodes, l.source);
|
||||
const n2 = get_node(nodes, l.target);
|
||||
|
|
@ -545,108 +623,22 @@ export const cell600 = () => {
|
|||
const nodes = make_600cell_vertices();
|
||||
const links = auto_detect_edges(nodes, 12);
|
||||
|
||||
links.map((l) => l.label = 0);
|
||||
|
||||
for( const p of [1, 2, 3, 4, 5]) {
|
||||
const nodes24 = nodes.filter((n) => n.label === p);
|
||||
const links24 = auto_detect_edges(nodes24, 8);
|
||||
links24.map((l) => l.label = p);
|
||||
links.push(...links24);
|
||||
}
|
||||
|
||||
return {
|
||||
name: '600-cell',
|
||||
nodes: nodes,
|
||||
links: links,
|
||||
options: [
|
||||
{ name: "none", links: [ 0 ]},
|
||||
{ name: "one 24-cell", links: [ 0, 1 ] },
|
||||
{ name: "five 24-cells", links: [ 0, 1, 2, 3, 4, 5 ] }
|
||||
],
|
||||
description: `The 600-cell is the four-dimensional analogue of the
|
||||
icosahedron, and consists of 600 tetrahedra joined at 1200 faces
|
||||
with five tetrahedra around each edge. It is dual to the 120-cell.
|
||||
Its 120 vertices can be partitioned into five sets which form the
|
||||
vertices of five inscribed 24-cells.`,
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
export const cell600_layered = () => {
|
||||
const nodes = make_600cell_vertices();
|
||||
const links = auto_detect_edges(nodes, 12);
|
||||
|
||||
nodes.map((n) => n.label = 9); // make all invisible by default
|
||||
|
||||
for (const cstr in CELLINDEX.LAYERS600 ) {
|
||||
label_nodes(nodes, CELLINDEX.LAYERS600[cstr], Number(cstr));
|
||||
}
|
||||
|
||||
links.map((l) => {
|
||||
const labels = link_labels(nodes, l);
|
||||
if( labels[0] >= labels[1] ) {
|
||||
l.label = labels[0];
|
||||
} else {
|
||||
l.label = labels[1];
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
}
|
||||
});
|
||||
|
||||
const options = [];
|
||||
const layers = [];
|
||||
|
||||
for( const i of [ 0, 1, 2, 3, 4, 5, 6, 7 ] ) {
|
||||
layers.push(i);
|
||||
options.push({
|
||||
name: CELLINDEX.LAYER_NAMES[i],
|
||||
links: [...layers],
|
||||
nodes: [...layers]
|
||||
})
|
||||
}
|
||||
|
||||
return {
|
||||
name: '600-cell layered',
|
||||
nodes: nodes,
|
||||
links: links,
|
||||
nolink2opacity: true,
|
||||
options: options,
|
||||
description: `This version of the 600-cell lets you explore its
|
||||
structure by building each layer from the 'north pole' onwards.`,
|
||||
}
|
||||
|
||||
|
||||
}
|
||||
|
||||
|
||||
export const snub24cell = () => {
|
||||
const nodes600 = make_600cell_vertices();
|
||||
const links600 = auto_detect_edges(nodes600, 12);
|
||||
|
||||
const nodes = nodes600.filter((n) => n.label != 1);
|
||||
const links = links600.filter((l) => {
|
||||
const sn = node_by_id(nodes, l.source);
|
||||
const tn = node_by_id(nodes, l.target);
|
||||
return sn && tn;
|
||||
});
|
||||
|
||||
links.map((l) => l.label = 0);
|
||||
|
||||
return {
|
||||
name: 'Snub 24-cell',
|
||||
nodes: nodes,
|
||||
links: links,
|
||||
options: [ { name: "--" } ],
|
||||
description: `The snub 24-cell is a semiregular polytope which
|
||||
connects the 24-cell with the 600-cell. It consists of 24 icosahedra
|
||||
and 120 tetrahedra, and is constructed by removing one of the
|
||||
five inscribed 24-cells from a 600-cell.`
|
||||
|
||||
}
|
||||
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
export const cell600_inscribed = () => inscribed_polytope(
|
||||
make_600cell_vertices, 12, 8, [1]
|
||||
);
|
||||
export const cell600_all_inscribed = () => inscribed_polytope(
|
||||
make_600cell_vertices, 12, 8, [1,2,3,4,5]
|
||||
);
|
||||
|
||||
|
||||
function make_dodecahedron_vertices() {
|
||||
|
|
@ -679,7 +671,6 @@ function make_dodecahedron_vertices() {
|
|||
{ x: -phi, y: phiinv, z:0, w: 0 , label: 4},
|
||||
{ x: -phi, y: -phiinv, z:0, w: 0 , label: 2},
|
||||
];
|
||||
scale_nodes(nodes, 1 / Math.sqrt(3));
|
||||
index_nodes(nodes);
|
||||
return nodes;
|
||||
}
|
||||
|
|
@ -687,180 +678,65 @@ function make_dodecahedron_vertices() {
|
|||
export const dodecahedron = () => {
|
||||
const nodes = make_dodecahedron_vertices();
|
||||
const links = auto_detect_edges(nodes, 3);
|
||||
links.map((l) => l.label = 0);
|
||||
|
||||
for( const p of [ 1, 2, 3, 4, 5 ]) {
|
||||
const tetran = nodes.filter((n) => n.label === p);
|
||||
const tetral = auto_detect_edges(tetran, 3);
|
||||
tetral.map((l) => l.label = p);
|
||||
links.push(...tetral);
|
||||
}
|
||||
|
||||
return {
|
||||
name: 'Dodecahedron',
|
||||
nodes: nodes,
|
||||
links: links,
|
||||
options: [
|
||||
{ name: "none", links: [ 0 ]},
|
||||
{ name: "one tetrahedron", links: [ 0, 1 ] },
|
||||
{ name: "five tetrahedra", links: [ 0, 1, 2, 3, 4, 5 ] }
|
||||
],
|
||||
description: `The dodecahedron is a three-dimensional polyhedron
|
||||
which is included here so that you can see the partition of its
|
||||
vertices into five interlocked tetrahedra. This structure is the
|
||||
basis for the partition of the 120-cell's vertices into five
|
||||
600-cells.`
|
||||
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
export const dodecahedron_inscribed = () => inscribed_polytope(
|
||||
make_dodecahedron_vertices, 3, 3, [1]
|
||||
);
|
||||
export const dodecahedron_all_inscribed = () => inscribed_polytope(
|
||||
make_dodecahedron_vertices, 3, 3, [1,2,3,4,5]
|
||||
);
|
||||
|
||||
export const tetrahedron = () => {
|
||||
const r2 = Math.sqrt(2);
|
||||
const r3 = Math.sqrt(3);
|
||||
return {
|
||||
name: 'Tetrahedron',
|
||||
nodes: [
|
||||
{id:1, label: 1, x: 2 * r2 / 3, y: 0, z: -1/3, w: 0 },
|
||||
{id:2, label: 2, x: -r2 / 3, y: r2 / r3, z: -1/3, w: 0 },
|
||||
{id:3, label: 3, x: -r2 / 3, y: -r2 / r3, z: -1/3, w: 0 },
|
||||
{id:4, label: 4, x: 0, y: 0, z: 1, w: 0 },
|
||||
],
|
||||
links: [
|
||||
{ id:1, source:1, target: 2},
|
||||
{ id:2, source:1, target: 3},
|
||||
{ id:3, source:1, target: 4},
|
||||
{ id:4, source:2, target: 3},
|
||||
{ id:5, source:2, target: 4},
|
||||
{ id:6, source:3, target: 4},
|
||||
],
|
||||
options: [ { name: '--' }],
|
||||
description: `The simplest three-dimensional polytope, consisting of four triangles joined at six edges. The 5-cell is its four-dimensional analogue.`,
|
||||
};
|
||||
};
|
||||
|
||||
export const octahedron = () => {
|
||||
const nodes = [
|
||||
{id: 1, label: 1, x: 1, y: 0, z: 0, w: 0},
|
||||
{id: 2, label: 1, x: -1, y: 0, z: 0, w: 0},
|
||||
{id: 3, label: 2, x: 0, y: 1, z: 0, w: 0},
|
||||
{id: 4, label: 2, x: 0, y: -1, z: 0, w: 0},
|
||||
{id: 5, label: 3, x: 0, y: 0, z: 1, w: 0},
|
||||
{id: 6, label: 3, x: 0, y: 0, z: -1, w: 0},
|
||||
];
|
||||
const links = [
|
||||
{id:1, source: 1, target: 3},
|
||||
{id:2, source: 1, target: 4},
|
||||
{id:3, source: 1, target: 5},
|
||||
{id:4, source: 1, target: 6},
|
||||
{id:5, source: 2, target: 3},
|
||||
{id:6, source: 2, target: 4},
|
||||
{id:7, source: 2, target: 5},
|
||||
{id:8, source: 2, target: 6},
|
||||
{id:9, source: 3, target: 5},
|
||||
{id:10, source: 3, target: 6},
|
||||
{id:11, source: 4, target: 5},
|
||||
{id:12, source: 4, target: 6},
|
||||
]
|
||||
links.map((l) => { l.label = 0 });
|
||||
return {
|
||||
name: 'Octahedron',
|
||||
nodes: nodes,
|
||||
links: links,
|
||||
options: [ { name: '--' }],
|
||||
description: `The three-dimensional cross-polytope, the 16-cell is its four-dimensional analogue.`,
|
||||
};
|
||||
// this can't be done with inscribed_polytope because each vertex
|
||||
// belongs to two cubes
|
||||
|
||||
}
|
||||
|
||||
export const cube = () => {
|
||||
const nodes = [
|
||||
{id: 1, label: 1, x: 1, y: 1, z: 1, w: 0},
|
||||
{id: 2, label: 2, x: -1, y: 1, z: 1, w: 0},
|
||||
{id: 3, label: 2, x: 1, y: -1, z: 1, w: 0},
|
||||
{id: 4, label: 1, x: -1, y: -1, z: 1, w: 0},
|
||||
{id: 5, label: 2, x: 1, y: 1, z: -1, w: 0},
|
||||
{id: 6, label: 1, x: -1, y: 1, z: -1, w: 0},
|
||||
{id: 7, label: 1, x: 1, y: -1, z: -1, w: 0},
|
||||
{id: 8, label: 2, x: -1, y: -1, z: -1, w: 0},
|
||||
];
|
||||
scale_nodes(nodes, 1/Math.sqrt(3));
|
||||
export const dodecahedron_five_cubes = (parts) => {
|
||||
const nodes = make_dodecahedron_vertices();
|
||||
const links = auto_detect_edges(nodes, 3);
|
||||
links.map((l) => { l.label = 0 });
|
||||
return {
|
||||
name: 'Cube',
|
||||
nodes: nodes,
|
||||
links: links,
|
||||
options: [ { name: '--' }],
|
||||
description: `The three-dimensional measure polytope, the tesseract is its four-dimensional analogue.`,
|
||||
const all_links = links;
|
||||
all_links.map((l) => l.label = 0);
|
||||
|
||||
const CUBES = {
|
||||
1: [ 1, 2, 3, 4, 5, 6, 7, 8 ],
|
||||
2: [ 4, 5, 10, 11, 13, 16, 17, 20],
|
||||
3: [ 2, 7, 9, 12, 13, 16, 18, 19],
|
||||
4: [ 1, 8, 10, 11, 14, 15, 18, 19],
|
||||
5: [ 3, 6, 9, 12, 14, 15, 17, 20]
|
||||
};
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
function make_icosahedron_vertices() {
|
||||
const phi = 0.5 * (1 + Math.sqrt(5));
|
||||
|
||||
const nodes = [
|
||||
{ x: 0, y: 1, z: phi, w: 0, label: 1 },
|
||||
{ x: 0, y: -1, z: phi, w: 0, label: 1 },
|
||||
{ x: 0, y: 1, z: -phi, w: 0, label: 1 },
|
||||
{ x: 0, y: -1, z: -phi, w: 0, label: 1 },
|
||||
{ x: 1, y: phi, z: 0, w: 0, label: 2 },
|
||||
{ x: -1, y: phi, z: 0, w: 0, label: 2 },
|
||||
{ x: 1, y: -phi, z: 0, w: 0, label: 2 },
|
||||
{ x: -1, y: -phi, z: 0, w: 0, label: 2 },
|
||||
{ x: phi, y: 0, z: 1, w: 0, label: 3},
|
||||
{ x: phi, y: 0, z: -1, w: 0, label: 3},
|
||||
{ x: -phi, y: 0, z: 1, w: 0, label: 3},
|
||||
{ x: -phi, y: 0, z: -1, w: 0, label: 3},
|
||||
];
|
||||
|
||||
scale_nodes(nodes, 1/Math.sqrt((5 + Math.sqrt(5)) / 2));
|
||||
index_nodes(nodes);
|
||||
return nodes;
|
||||
}
|
||||
|
||||
|
||||
|
||||
export const icosahedron = () => {
|
||||
const nodes = make_icosahedron_vertices();
|
||||
const links = auto_detect_edges(nodes, 5);
|
||||
links.map((l) => l.label = 0);
|
||||
if( parts.length > 0 ) {
|
||||
// console.log(parts);
|
||||
//console.log(parts.map(String));
|
||||
//nodes.map((n) => n.label = 0);
|
||||
for( const label of parts.map(String) ) {
|
||||
console.log(`label = ${label}`);
|
||||
const cube = nodes.filter((n) => CUBES[label].includes(n.id));
|
||||
const cubel = auto_detect_edges(cube, 3);
|
||||
cubel.map((l) => l.label = Number(label));
|
||||
all_links.push(...cubel);
|
||||
}
|
||||
}
|
||||
|
||||
return {
|
||||
name: 'Icosahedron',
|
||||
nodes: nodes,
|
||||
links: links,
|
||||
options: [
|
||||
{ name: "--"},
|
||||
],
|
||||
description: `The icosahedron is a twenty-sided polyhedron and is dual to the dodecahedron. Its four-dimensional analogue is the 600-cell.`
|
||||
|
||||
links: all_links,
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
export const five_cubes = () => dodecahedron_five_cubes([]);
|
||||
export const five_cubes_inscribed = () => dodecahedron_five_cubes([1]);
|
||||
export const five_cubes_all_inscribed = () => dodecahedron_five_cubes([1,2,3,4,5]);
|
||||
|
||||
export const build_all = () => {
|
||||
return [
|
||||
tetrahedron(),
|
||||
octahedron(),
|
||||
cube(),
|
||||
icosahedron(),
|
||||
dodecahedron(),
|
||||
cell5(),
|
||||
cell16(),
|
||||
tesseract(),
|
||||
cell24(),
|
||||
snub24cell(),
|
||||
cell600(),
|
||||
cell600_layered(),
|
||||
cell120_inscribed(),
|
||||
cell120_layered()
|
||||
];
|
||||
}
|
||||
|
||||
export const radii = (shape) => {
|
||||
return shape.nodes.map(n => Math.sqrt(n.x * n.x + n.y * n.y + n.z * n.z + n.w * n.w))
|
||||
}
|
||||
19
rotation.js
19
rotation.js
|
|
@ -81,5 +81,24 @@ export const rotfn = {
|
|||
ZW: rotZW,
|
||||
};
|
||||
|
||||
const rotMode = {
|
||||
'rigid': [ rotYW, rotXW ],
|
||||
'tumbling': [ rotYW, rotXZ ],
|
||||
'inside-out': [ rotYW, rotXY ],
|
||||
'axisymmetrical': [ rotZW, rotXY ]
|
||||
};
|
||||
|
||||
|
||||
export const get_rotation = (mode, theta, psi) => {
|
||||
const fns = rotMode[mode];
|
||||
return [ fns[0](theta), fns[1](psi) ];
|
||||
}
|
||||
|
||||
|
||||
|
||||
// [
|
||||
// rotfn[gui.params.xRotate](theta),
|
||||
// rotfn[gui.params.yRotate](psi)
|
||||
// ];
|
||||
|
||||
|
||||
|
|
|
|||
|
|
@ -1,8 +1,7 @@
|
|||
|
||||
// code for generating the 120-cell labels
|
||||
// has some overlap with permute - FIXME
|
||||
//testbed for playing with stuff in node repl
|
||||
|
||||
const THREE = require('three');
|
||||
const THREE =require('three');
|
||||
|
||||
function pandita(a) {
|
||||
const n = a.length;
|
||||
|
|
@ -134,7 +133,7 @@ function dist2(n1, n2) {
|
|||
return (n1.x - n2.x) ** 2 + (n1.y - n2.y) ** 2 + (n1.z - n2.z) ** 2 + (n1.w - n2.w) ** 2;
|
||||
}
|
||||
|
||||
export function auto_detect_edges(nodes, neighbours, debug=false) {
|
||||
function auto_detect_edges(nodes, neighbours, debug=false) {
|
||||
const seen = {};
|
||||
const nnodes = nodes.length;
|
||||
const links = [];
|
||||
|
|
@ -169,7 +168,7 @@ export function auto_detect_edges(nodes, neighbours, debug=false) {
|
|||
|
||||
|
||||
|
||||
export function make_120cell_vertices() {
|
||||
function make_120cell_vertices() {
|
||||
const phi = 0.5 * (1 + Math.sqrt(5));
|
||||
const r5 = Math.sqrt(5);
|
||||
const phi2 = phi * phi;
|
||||
|
|
@ -231,7 +230,7 @@ function fingerprint(ids) {
|
|||
|
||||
|
||||
|
||||
export function auto_120cell_faces(links) {
|
||||
function auto_120cell_faces(links) {
|
||||
const faces = [];
|
||||
const seen = {};
|
||||
let id = 1;
|
||||
|
|
@ -487,7 +486,7 @@ function colour_next_dodeca_maybe(nodes, links, faces, colours, dd, nextf, nextd
|
|||
const nextvs = dodecahedron_vertices(nextdd);
|
||||
// get the initial colour permutations from the existing labels;
|
||||
const p = [];
|
||||
for( let i = 0; i < 5; i ++ ) {
|
||||
for( i = 0; i < 5; i ++ ) {
|
||||
p[i] = colours[nextvs[i]];
|
||||
}
|
||||
const nlabels = colour_dodecahedron_from_face(nextdd, p);
|
||||
|
|
@ -530,33 +529,6 @@ function meridian(nodes, links, faces, startf, startn, dir=11, max=10) {
|
|||
}
|
||||
|
||||
|
||||
function meridian_bump(nodes, links, faces, startf, startn, bumpdir=6) {
|
||||
const o = face_plus_to_dodecahedron(faces, startf, startn);
|
||||
const dir = 11;
|
||||
const max = 10;
|
||||
|
||||
const colours = colour_dodecahedron_from_face(o, [ 1, 2, 3, 4, 5 ] );
|
||||
|
||||
const dds = follow_meridian(nodes, links, faces, colours, o, dir, max);
|
||||
|
||||
const dd4 = dds[4];
|
||||
const nextf = dd4[bumpdir];
|
||||
const bump = follow_face_to_dodeca(faces, dd4, nextf);
|
||||
const ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, dd4, nextf, bump);
|
||||
|
||||
add_colours(colours, ncolours);
|
||||
|
||||
const labels = { 1: [], 2:[], 3:[], 4:[], 5:[] };
|
||||
for( const vstr in colours ) {
|
||||
labels[colours[vstr]].push(Number(vstr));
|
||||
}
|
||||
|
||||
return { dodecahedra: dds, labels: labels };
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
function all_meridians(nodes, links, faces, startf, startn) {
|
||||
const o = face_plus_to_dodecahedron(faces, startf, startn);
|
||||
|
||||
|
|
@ -696,9 +668,8 @@ function arctic(nodes, links, faces, startf, startn, max) {
|
|||
|
||||
|
||||
|
||||
// this is the final one that works for the whole 120-cell
|
||||
|
||||
export function label_120cell(nodes, links, faces, startf, startn) {
|
||||
function arctic_two(nodes, links, faces, startf, startn) {
|
||||
const pole = face_plus_to_dodecahedron(faces, startf, startn);
|
||||
const dds = [ pole ];
|
||||
|
||||
|
|
@ -717,6 +688,10 @@ export function label_120cell(nodes, links, faces, startf, startn) {
|
|||
seen[dd_fingerprint(nextdd)] = true;
|
||||
}
|
||||
|
||||
// go around all of the arctic circle and grow all faces
|
||||
|
||||
// 1, 12, 20, 12, 30 = 75
|
||||
// 0 1 13, 33, 45
|
||||
|
||||
for( const a of dds.slice(1, 13) ) {
|
||||
for( const i of [ 6, 7, 8, 9, 10 ] ) {
|
||||
|
|
@ -747,8 +722,6 @@ export function label_120cell(nodes, links, faces, startf, startn) {
|
|||
}
|
||||
|
||||
// the 30 equatorials?
|
||||
|
||||
|
||||
for( const a of dds.slice(13, 46) ) {
|
||||
for( const i of [ 6, 7, 8, 9, 10 ] ) {
|
||||
const [ nextdd, ncolours ] = follow_and_colour(
|
||||
|
|
@ -777,10 +750,7 @@ export function label_120cell(nodes, links, faces, startf, startn) {
|
|||
}
|
||||
}
|
||||
|
||||
|
||||
// this should get the rest or explode!
|
||||
|
||||
|
||||
for( const a of dds ) {
|
||||
for( const i of [ 6, 7, 8, 9, 10 ] ) {
|
||||
const [ nextdd, ncolours ] = follow_and_colour(
|
||||
|
|
@ -808,124 +778,6 @@ export function label_120cell(nodes, links, faces, startf, startn) {
|
|||
|
||||
|
||||
|
||||
export function cell120_layers(nodes, links, faces, startf, startn, max_layer) {
|
||||
const pole = face_plus_to_dodecahedron(faces, startf, startn);
|
||||
const dds = [ pole ];
|
||||
const dd_families = { "0": [ pole ] }
|
||||
|
||||
const seen = {};
|
||||
seen[dd_fingerprint(pole)] = true;
|
||||
|
||||
const colours = colour_dodecahedron_from_face(dds[0], [ 1, 2, 3, 4, 5 ] );
|
||||
const vs = dodecahedron_vertices(dds[0]);
|
||||
|
||||
// arctic
|
||||
|
||||
if( max_layer > 0 ) {
|
||||
dd_families["1"] = [];
|
||||
|
||||
for( const face of pole ) {
|
||||
const [ nextdd, ncolours ] = follow_and_colour(
|
||||
nodes, links, faces, colours, pole, face
|
||||
);
|
||||
add_colours(colours, ncolours);
|
||||
dds.push(nextdd);
|
||||
dd_families["1"].push(nextdd);
|
||||
seen[dd_fingerprint(nextdd)] = true;
|
||||
}
|
||||
}
|
||||
|
||||
// subarctic - interstitial
|
||||
|
||||
if( max_layer > 1 ) {
|
||||
dd_families["2"] = [];
|
||||
|
||||
for( const a of dd_families["1"] ) {
|
||||
for( const i of [ 6, 7, 8, 9, 10 ] ) {
|
||||
const [ nextdd, ncolours ] = follow_and_colour(
|
||||
nodes, links, faces, colours, a, a[i]
|
||||
);
|
||||
const fp = dd_fingerprint(nextdd);
|
||||
if( !(fp in seen) ) {
|
||||
add_colours(colours, ncolours);
|
||||
dds.push(nextdd);
|
||||
dd_families["2"].push(nextdd);
|
||||
seen[fp] = true;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
// tropic of cancer
|
||||
|
||||
if( max_layer > 2 ) {
|
||||
dd_families["3"] = [];
|
||||
|
||||
for( const a of dd_families["1"] ) {
|
||||
const [ nextdd, ncolours ] = follow_and_colour(
|
||||
nodes, links, faces, colours, a, a[11]
|
||||
);
|
||||
const fp = dd_fingerprint(nextdd);
|
||||
if( !(fp in seen) ) {
|
||||
add_colours(colours, ncolours);
|
||||
dds.push(nextdd);
|
||||
dd_families["3"].push(nextdd);
|
||||
seen[fp] = true;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
if( max_layer > 3 ) {
|
||||
// equator
|
||||
|
||||
dd_families["4"] = [];
|
||||
|
||||
for( const a of dds.slice(13, 46) ) {
|
||||
for( const i of [ 6, 7, 8, 9, 10 ] ) {
|
||||
const [ nextdd, ncolours ] = follow_and_colour(
|
||||
nodes, links, faces, colours, a, a[i]
|
||||
);
|
||||
const fp = dd_fingerprint(nextdd);
|
||||
if( !(fp in seen) ) {
|
||||
add_colours(colours, ncolours);
|
||||
dd_families["4"].push(nextdd);
|
||||
dds.push(nextdd);
|
||||
seen[fp] = true;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
if( max_layer > 4 ) {
|
||||
dd_families["5"] = [];
|
||||
|
||||
for( const a of dd_families["4"] ) {
|
||||
for( const i of [ 6, 7, 8, 9, 10 ] ) {
|
||||
const [ nextdd, ncolours ] = follow_and_colour(
|
||||
nodes, links, faces, colours, a, a[i]
|
||||
);
|
||||
const fp = dd_fingerprint(nextdd);
|
||||
if( !(fp in seen) ) {
|
||||
add_colours(colours, ncolours);
|
||||
dds.push(nextdd);
|
||||
dd_families["5"].push(nextdd);
|
||||
seen[fp] = true;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
const labels = { 1: [], 2:[], 3:[], 4:[], 5:[] };
|
||||
for( const vstr in colours ) {
|
||||
labels[colours[vstr]].push(Number(vstr));
|
||||
}
|
||||
|
||||
|
||||
return { dodecahedra: dds, labels: labels, families: dd_families };
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
// for a face, pick an edge, and then find the other two faces which
|
||||
// share this edge. These can be used as the starting points for the
|
||||
// first face's two dodecahedra
|
||||
|
|
@ -963,6 +815,7 @@ function make_120cell_cells(faces) {
|
|||
for( const dd of dds ) {
|
||||
const fp = dd_fingerprint(dd);
|
||||
if( ! (fp in seen) ) {
|
||||
//console.log(`added dodeca ${fp}`);
|
||||
const d = {
|
||||
id: i,
|
||||
faces: dd,
|
||||
|
|
@ -1042,7 +895,7 @@ function meridian_label_120cell(nodes) {
|
|||
//label_nodes(nodes, [313], 6);
|
||||
}
|
||||
|
||||
1
|
||||
|
||||
function check_120cell_nodes(nodes) {
|
||||
nodes.map((n) => {
|
||||
const vs = find_adjacent_labels(nodes, links, n.id);
|
||||
|
|
@ -1060,134 +913,39 @@ function make_dodecahedron_vertices() {
|
|||
const phiinv = 1 / phi;
|
||||
|
||||
const nodes = [
|
||||
{ x: 1, y: 1, z: 1, w: 0 },
|
||||
{ x: 1, y: 1, z: -1, w: 0 },
|
||||
{ x: 1, y: -1, z: 1, w: 0 },
|
||||
{ x: 1, y: -1, z: -1, w: 0 },
|
||||
{ x: -1, y: 1, z: 1, w: 0 },
|
||||
{ x: -1, y: 1, z: -1, w: 0 },
|
||||
{ x: -1, y: -1, z: 1, w: 0 },
|
||||
{ x: -1, y: -1, z: -1, w: 0 }
|
||||
].flat();
|
||||
scale_nodes(nodes, 0.5);
|
||||
{ x: 1, y: 1, z: 1, w: 0, label: 4 },
|
||||
{ x: 1, y: 1, z: -1, w: 0, label: 3 },
|
||||
{ x: 1, y: -1, z: 1, w: 0, label: 3 },
|
||||
{ x: 1, y: -1, z: -1, w: 0, label: 2 },
|
||||
|
||||
{ x: -1, y: 1, z: 1, w: 0, label: 3 },
|
||||
{ x: -1, y: 1, z: -1, w: 0, label: 1 },
|
||||
{ x: -1, y: -1, z: 1, w: 0, label: 5 },
|
||||
{ x: -1, y: -1, z: -1, w: 0, label: 3 },
|
||||
|
||||
{ x: 0, y: phi, z: phiinv, w: 0, label: 5 },
|
||||
{ x: 0, y: phi, z: -phiinv, w: 0 , label: 2 },
|
||||
{ x: 0, y: -phi, z: phiinv, w: 0, label: 4 },
|
||||
{ x: 0, y: -phi, z: -phiinv, w: 0 , label: 1 },
|
||||
|
||||
{ x: phiinv, y: 0, z: phi, w: 0 , label: 2},
|
||||
{ x: phiinv, y: 0, z: -phi, w: 0 , label: 4},
|
||||
{ x: -phiinv, y: 0, z: phi, w: 0 , label: 1},
|
||||
{ x: -phiinv, y: 0, z: -phi, w: 0 , label: 5},
|
||||
|
||||
{ x: phi, y: phiinv, z:0, w: 0 , label: 1},
|
||||
{ x: phi, y: -phiinv, z:0, w: 0 , label: 5},
|
||||
{ x: -phi, y: phiinv, z:0, w: 0 , label: 4},
|
||||
{ x: -phi, y: -phiinv, z:0, w: 0 , label: 2},
|
||||
];
|
||||
index_nodes(nodes);
|
||||
return nodes;
|
||||
}
|
||||
|
||||
|
||||
// this one does the coherent indexing / partition into 600-cells
|
||||
|
||||
export function make_labelled_120cell() {
|
||||
const nodes = make_120cell_vertices();
|
||||
const links = auto_detect_edges(nodes, 4);
|
||||
const faces = auto_120cell_faces(links);
|
||||
|
||||
const labelled = label_120cell(nodes, links, faces, faces[0], 341);
|
||||
return labelled;
|
||||
}
|
||||
|
||||
// calculate the w-distance of a dodecahedron's centroid
|
||||
|
||||
export function dd_w_distance(nodes, dd) {
|
||||
const vertices = new Set();
|
||||
dd.map((f) => f.nodes.map((n) => vertices.add(n)));
|
||||
|
||||
let w = 0;
|
||||
for( const nid of vertices ) {
|
||||
const node = node_by_id(nodes, nid);
|
||||
w += node.w;
|
||||
}
|
||||
return w / 20;
|
||||
}
|
||||
|
||||
|
||||
export function sort_dds_w(nodes, dds) {
|
||||
dds.sort((a, b) => {
|
||||
return dd_w_distance(nodes, a) - dd_w_distance(nodes, b)
|
||||
})
|
||||
}
|
||||
|
||||
|
||||
|
||||
export function find_antipode_dd(nodes, links, dd) {
|
||||
|
||||
}
|
||||
|
||||
// notes because I'm too sick to continue working on this today
|
||||
// the vertices which aren't counted by the layers are showing
|
||||
// up in the visualisation because they are labelled "0" by default -
|
||||
// for this to work better there needs to be a value which is never
|
||||
// displayed.
|
||||
|
||||
// in the current layer algorithm, layer '5' (the one after the equator)
|
||||
// is too greedy
|
||||
|
||||
export function make_layered_120cell(max_layer) {
|
||||
const nodes = make_120cell_vertices();
|
||||
const links = auto_detect_edges(nodes, 4);
|
||||
const faces = auto_120cell_faces(links);
|
||||
|
||||
const labelled = label_120cell(nodes, links, faces, faces[628], 250, max_layer);
|
||||
|
||||
// get layers from sorted w-distance order
|
||||
|
||||
const dds = labelled.dodecahedra;
|
||||
dds.sort((a, b) => dd_w_distance(nodes, b) - dd_w_distance(nodes, a));
|
||||
|
||||
const LAYERS = [
|
||||
[ "0", 1 ],
|
||||
[ "1", 12 ],
|
||||
[ "2", 20 ],
|
||||
[ "3", 12 ],
|
||||
[ "4", 30 ],
|
||||
[ "5", 12 ],
|
||||
[ "6", 20 ],
|
||||
[ "7", 12 ],
|
||||
[ "8", 1]
|
||||
];
|
||||
|
||||
const layer_dds = labelled["families"];
|
||||
const vertices_layers = {};
|
||||
const seen = {};
|
||||
let i = 0;
|
||||
|
||||
for( const layer of LAYERS ) {
|
||||
const label = layer[0];
|
||||
const n = layer[1];
|
||||
vertices_layers[label] = [];
|
||||
console.log(`Layer ${label} starting at ${i}`);
|
||||
for( const dd of dds.slice(i, i + n) ) {
|
||||
console.log(dd_w_distance(nodes, dd));
|
||||
for( const face of dd ) {
|
||||
for( const n of face.nodes ) {
|
||||
if( !seen[n] ) {
|
||||
vertices_layers[label].push(n);
|
||||
seen[n] = true;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
i += n;
|
||||
}
|
||||
return JSON.stringify(vertices_layers);
|
||||
}
|
||||
|
||||
export function make_meridians(bumpdir) {
|
||||
const nodes = make_120cell_vertices();
|
||||
const links = auto_detect_edges(nodes, 4);
|
||||
const faces = auto_120cell_faces(links);
|
||||
|
||||
const mbs ={}
|
||||
for( const bumpdir of [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 ] ) {
|
||||
mbs[bumpdir] = meridian_bump(nodes, links, faces, faces[0], 341, bumpdir)
|
||||
}
|
||||
|
||||
return mbs;
|
||||
|
||||
//
|
||||
|
||||
}
|
||||
|
||||
|
||||
// const nodes = make_120cell_vertices();
|
||||
// const links = auto_detect_edges(nodes, 4);
|
||||
// const faces = auto_120cell_faces(links);
|
||||
|
||||
|
||||
// console.log("Calculating 120-cell colours")
|
||||
|
|
@ -3,14 +3,5 @@
|
|||
import { defineConfig, loadEnv } from 'vite';
|
||||
|
||||
export default defineConfig({
|
||||
base: '/fourjs/',
|
||||
build: {
|
||||
rollupOptions: {
|
||||
output: {
|
||||
manualChunks: {
|
||||
threejs: [ 'three' ]
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
base: '/fourjs/'
|
||||
})
|
||||
|
|
|
|||
Loading…
Reference in New Issue