Grünbaum 4-arrangements on the 120-cell and the 600-cell |
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| Authors: | Matthew Marken John E Wetzel |
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| Institution: | (1) Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, 61801 Urbana, IL;(2) Present address: Bofistweg 5, D-7000 Stuttgart-70, Germany |
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| Abstract: | In 1971, Branko Grünbaum noted that the projectived-arrangements formed by including with the facet hyperplanes of a regular polytope in Ed some of its hyperplanes of mirror symmetry and possibly the hyperplane at infinity might be expected to be simplicial. In this paper we show that none of the 4-arrangements so associated with either the 120-cell or the 600-cell inE
4 is simplicial. |
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