Grünbaum 4-arrangements on the 120-cell and the 600-cell (Q1201922)
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scientific article; zbMATH DE number 98733
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Grünbaum 4-arrangements on the 120-cell and the 600-cell |
scientific article; zbMATH DE number 98733 |
Statements
Grünbaum 4-arrangements on the 120-cell and the 600-cell (English)
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17 January 1993
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From a convex regular polytope, a projective arrangement can be constructed with its facets hyperplanes, some of its hyperplanes of symmetry, and possibly the hyperplane at infinity. Grünbaum has observed that some of these arrangements might be expected to be simplicial (that is, to have maximal cells which are simplices). The authors show in this paper that none of the arrangements associated in such a way with either the regular 120-cell or the regular 600-cell in 4- dimensions can be simplicial.
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arrangements of hyperplanes
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simplicial arrangement
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120-cell
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600-cell
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0.8565343618392944
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0.8481153249740601
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0.8169580101966858
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