Journey through a 15-Cell - Tetrahedra around Hopf Link
Channel: Non-Euclidean Dreamer
Date: 2018-11-16

We travel forward through a 3-sphere divided into 15 tetrahedra by 30triangles.

There are 8 vertices, 5 lie equidistantly on the equator, the other 3 lie equidistantly on the pole-hypermeridian.

Every pair of adjacent vertices on one great circle forms a tetrahedron with every pair of adjacent vertices on the other one.

This is a semi-regular tesselation of the 3-Sphere, the tetrahedra are congruent, but not regular. The tesselation  is invariant under rotations along the two great circles by 120°/resp. 72°.


Music: Beginning of "Snowfall" by TRG Banks
 licensed under a cc0 1.0 Universal License. (Link: https://freemusicarchive.org/music/TRG_Banks/TRG_Banks_Christmas_Album/)

This Video is  licensed under a Attribution-NonCommercial-ShareAlike License. (https://creativecommons.org/licenses/by-nc-sa/4.0/)