Constructions for 4-Polytopes and the Cone of Flag Vectors

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We describe a construction for d-polytopes generalising the well known stacking operation. The construction is applied to produce 2-simplicial and 2-simple 4-polytopes with g_2=0 on any number of n >= 13 vertices. In particular, this implies that the ray l_1, described by Bayer (1987), is fully contained in the convex hull of all flag vectors of 4-polytopes. Especially interesting examples on 9, 10 and 11 vertices are presented.
20 pages, 18 figures; minor corrections and changes in notation, added reference

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Combinatorics, 52B05; 52B12

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http://salesiana.dossiersoluciones.com/handle/123456789/105157

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511751
 http://arxiv.org/abs/math/0511751

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arXiv