# NOTES


## Labelling the inscribed 600-cells in a 120-cell

I want to apply the partition of the 600-cell into five 24-cells to the inscribed
600-cells in the 120-cell, so that I can use this partition to colour the inscribed
5-cells - since each 5-cell has a vertex in each of the 600-cells, getting a
partition for just one will be enough.

The challenge is that the 600-cells in the 120-cell are rotated differently to the
coordinates for the original 600-cell. And I don't have enough maths to line them up.

What about - given one of the inscribed 600-cell, find all of the 24-cells? (there
are 25 possible ones so sorting them out will be a pain)