diff --git a/fourDShape.js b/fourDShape.js
index db99a53..daea51f 100644
--- a/fourDShape.js
+++ b/fourDShape.js
@@ -35,7 +35,7 @@ class FourDShape extends THREE.Group {
 		}
 	}
 
-	makeNode(material, v3) {
+	makeNode(material, v3, scale) {
 		const geometry = new THREE.SphereGeometry(this.node_size);
 		const sphere = new THREE.Mesh(geometry, material);
 		sphere.position.copy(v3);
@@ -100,24 +100,41 @@ class FourDShape extends THREE.Group {
 	}
 
 
-	fourDtoV3(x, y, z, w, rotations) {
+	fourDtoV3_old(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.hyperplane / (this.hyperplane + v4.w);
+		const k = this.fourDscale(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 v3 = this.fourDtoV3(n.x, n.y, n.z, n.w, []);
+			const k = this.fourDscale(n.w);
+			const v3 = new THREE.Vector3(n.x * k, n.y * k, n.z * k);
 			const material = this.getMaterial(n, this.node_ms);
 			this.nodes3[n.id] = {
 				v3: v3,
 				label: n.label,
-				object: this.makeNode(material, v3)
+				object: this.makeNode(material, v3, k)
 			};
 		}
 		for( const l of this.links ) {
@@ -134,10 +151,14 @@ class FourDShape extends THREE.Group {
 	render3(rotations, nodes_show, links_show) {
 		this.scalev3 = new THREE.Vector3(this.node_scale, this.node_scale, this.node_scale);
 		for( const n of this.nodes4 ) {
-			const v3 = this.fourDtoV3(n.x, n.y, n.z, n.w, rotations);
+			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;
+			const s3 = new THREE.Vector3(s4, s4, s4);
 			this.nodes3[n.id].v3 = v3;
 			this.nodes3[n.id].object.position.copy(v3);
-			this.nodes3[n.id].object.scale.copy(this.scalev3);
+			this.nodes3[n.id].object.scale.copy(s3);
 			this.nodes3[n.id].object.visible = ( !nodes_show || n.label in nodes_show );
 		}
 		for( const l of this.links ) {