# NOTES


New approach for the 5-cells:

Pick a tetrahedron of an inscribed 600-cell with vertices A, B, C, D

This gives pairs of vertices:

AB
AC
AD
BC
BD
CD

Each of these gives rise to seven pairs of 5-cells which are on neighboring vertices
of the 5 600-cells.

Try enumerating these and inspecting them to find one or more coherent sets of four
5-cells which lie on one tetrahedron from each of the 600-cells.

(I expect there to be more than one, like how there are two ways to partition the
120-cell vertices into 600-cells)