The Geometry of $H_4$ Polytopes
Metric Geometry
2019-12-16 v1 Combinatorics
Representation Theory
Abstract
We describe the geometry of an arrangement of 24-cells inscribed in the 600-cell. In 7 we apply our results to the even unimodular lattice and show how the 600-cell transforms /2, an 8-space over the field , into a 4-space over whose points, lines and planes are labeled by the geometric objects of the 600-cell.
Cite
@article{arxiv.1912.06156,
title = {The Geometry of $H_4$ Polytopes},
author = {Tomme Denney and Da'Shay Hooker and De'Janeke Johnson and Tianna Robinson and Majid Butler and Sandernisha Claiborne},
journal= {arXiv preprint arXiv:1912.06156},
year = {2019}
}
Comments
18 pages