Kaleidocycle Diagram

I have worked back and forth from the pictures and made this diagram. Very important: This layout applies when you roll the jellyfish into tetrahedra in the same direction I used.

No doubt a graphic artist could make this much more attractive! It captures the basic information I need to place the triangles so as to assemble them into pictures. For colors and movement, see the previous post.

Here is an interesting pattern. Each triangle has one vertical edge. The two points on that edge are the two that will be central in the two faces made of those triangles that the kaleidocycle can display. Imagine that all the triangles in the first column have the number one on them, and that all the triangles in the second column have the number two on them. Then the lower points will be central when 2 follows 1 in a clockwise direction, and the upper points will be central when 2 follows 1 in a counterclockwise direction.

There! More fun with geometry.