From 10de708c19aab5996f8c5fc953ffd6ec6b8816f0 Mon Sep 17 00:00:00 2001 From: Mike Lynch Date: Tue, 30 Dec 2025 08:43:04 +1100 Subject: [PATCH] Added NOTES.md --- NOTES.md | 26 ++++++++++++++++++++++++++ 1 file changed, 26 insertions(+) create mode 100644 NOTES.md 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) + +