Gr�nbaum 4-arrangements on the 120-cell and the 600-cell

Autor:	Matthew Marken, John E. Wetzel
Rok vydání:	1992
Předmět:	600-cell Hyperplane at infinity Mathematics::Algebraic Topology h-vector Combinatorics Simplicial complex Mathematics::Algebraic Geometry Hyperplane Mathematics::Metric Geometry Geometry and Topology Arrangement of hyperplanes Regular polytope Mathematics 120-cell
Zdroj:	Journal of Geometry. 45:114-120
ISSN:	1420-8997 0047-2468
DOI:	10.1007/bf01225770
Popis:	In 1971, Branko Grunbaum 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 inE4 is simplicial.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::06b6a488f38e77feb8494f8c105e3739 https://doi.org/10.1007/bf01225770 Zobrazit plný text záznamu Full text from SpringerLink