Affiliation:
1. McDonogh 35 High School , 4000 Cadillac St. , New Orleans , LA 70122 , USA
Abstract
Abstract
We describe the geometry of an arrangement of 24-cells inscribed in the 600-cell. In Section 7 we apply our results to the even unimodular lattice E
8 and show how the 600-cell transforms E
8/2E
8, an 8-space over the field F
2, into a 4-space over F
4 whose points, lines and planes are labeled by the geometric objects of the 600-cell.
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