More documentation of what I'm doing with the 120 cell

experiments-120-cell
Mike Lynch 2023-08-06 11:26:38 +10:00
parent d82e057e6b
commit 62bc994788
1 changed files with 59 additions and 14 deletions

View File

@ -78,22 +78,23 @@ for eg - this works for the chords from 1!
[ 113, 177 ], [ 113, 177 ],
[ 157, 161 ], [ 157, 161 ],
[ 29, 45 ],
[ 29, 101 ], [ 29, 45 ], 5
[ 29, 105 ], [ 29, 101 ], 101
[ 29, 153 ], [ 29, 105 ], 105
[ 29, 165 ], [ 29, 153 ], 153
[ 29, 165 ], 165
[ 45, 101 ], [ 45, 101 ],
[ 45, 105 ], [ 45, 105 ],
[ 45, 169 ], [ 45, 169 ], 169
[ 45, 181 ], [ 45, 181 ], 181
[ 101, 117 ], [ 101, 117 ], 117
[ 101, 165 ], [ 101, 165 ],
[ 101, 181 ], [ 101, 181 ],
[ 105, 153 ], [ 105, 153 ],
[ 105, 169 ], [ 105, 169 ],
[ 33, 49 ], [ 33, 49 ], 33 49
[ 33, 89 ], [ 33, 89 ], 89
[ 33, 117 ], [ 33, 117 ],
[ 33, 153 ], [ 33, 153 ],
[ 33, 165 ], [ 33, 165 ],
@ -122,8 +123,12 @@ Plan for Sunday:
* use the existing label_subgraph to make a function which partitions the * use the existing label_subgraph to make a function which partitions the
60-angle chords into two groups (like I did manually above) 60-angle chords into two groups (like I did manually above)
// this is done and seems to work
* test this labelling manually (ie colour one set of 60-angle vertices) * test this labelling manually (ie colour one set of 60-angle vertices)
// done this with the manual labels and it looks good
* make another labeling routine which can fill out the rest of the 600-cell * make another labeling routine which can fill out the rest of the 600-cell
from the starting dodecahedron, by only following chords which are at 60 from the starting dodecahedron, by only following chords which are at 60
to the entering chord to the entering chord
@ -137,3 +142,43 @@ Then the big algorithm does the following:
- find 60-angles, partition them, pick a partition with no unlabelled cells and label that 600-cell - find 60-angles, partition them, pick a partition with no unlabelled cells and label that 600-cell
- repeat the previous step for the remaining three 600-cells - repeat the previous step for the remaining three 600-cells
Alternative, more manual option: just write the second labelling routine and
do the rest by hand
[ 25, 41 ],
[ 25, 97 ],
[ 25, 109 ],
[ 25, 157 ],
[ 25, 161 ],
[ 41, 97 ],
[ 41, 109 ],
[ 41, 173 ],
[ 41, 177 ],
[ 97, 113 ],
[ 97, 161 ],
[ 97, 177 ],
[ 37, 53 ],
[ 37, 93 ],
[ 37, 113 ],
[ 37, 157 ],
[ 37, 161 ],
[ 53, 93 ],
[ 53, 113 ],
[ 53, 173 ],
[ 53, 177 ],
[ 173, 177 ]
[ 93, 109 ],
[ 93, 157 ],
[ 93, 173 ],
[ 109, 157 ],
[ 109, 173 ],
[ 113, 161 ],
[ 113, 177 ],
[ 157, 161 ],
25 41 97 109
157 161 173 177
113 37 53 93