The skeleton of the 120-cell is not 5-gonal

Autor:	Michel Deza, Viacheslav Grishukhin
Rok vydání:	1997
Předmět:	Discrete mathematics Dimension (graph theory) Skeleton (category theory) Theoretical Computer Science Platonic solid Combinatorics symbols.namesake symbols Discrete Mathematics and Combinatorics Cube Isometric embedding Mathematics 120-cell Regular polytope
Zdroj:	Discrete Mathematics. :205-210
ISSN:	0012-365X
DOI:	10.1016/s0012-365x(96)00169-0
Popis:	The edge-graphs of m -polygons and of 5 platonic solids admit (unique) isometric embedding into a half cube (of dimension m and 6, resp.). The skeletons of α n , β n , γ n are also l 1 -graphs but it was proved in Assouad (1991) that 24-cell and 600-cell are not (since not 5- and not 7-gonal, resp.). We show here that the last remaining regular polytope, 120-cell, is also not an l 1 -graph.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ac3add633e902a6edb61354138f3829 https://doi.org/10.1016/s0012-365x(96)00169-0 Zobrazit plný text záznamu Full Text from ScienceDirect