The Geometry of $H_4$ Polytopes
| Autor: | Denney, Tomme, Hooker, Da'Shay, Johnson, De'Janeke, Robinson, Tianna, Butler, Majid, Claiborne, Sandernisha |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We describe the geometry of an arrangement of 24-cells inscribed in the 600-cell. In $\S$7 we apply our results to the even unimodular lattice $E_8$ and show how the 600-cell transforms $E_8$/2$E_8$, an 8-space over the field $\bf{F}$$_2$, into a 4-space over $\bf{F}$$_4$ whose points, lines and planes are labeled by the geometric objects of the 600-cell. Comment: 18 pages |
| Databáze: | arXiv |
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