diff --git a/NOTES.md b/NOTES.md new file mode 100644 index 0000000..5e59b50 --- /dev/null +++ b/NOTES.md @@ -0,0 +1,26 @@ +# 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) + +