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arXiv · 1903.10178

Octahedralizing 3-colorable 3-polytopes

Giulia Codenotti·Lorenzo Venturello
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Abstract

We investigate the question of whether any $d$-colorable simplicial $d$-polytope can be octahedralized, i.e., it can be subdivided to a $d$-dimensional geometric cross-polytopal complex. We give a positive answer in dimension $3$, with the additional property that the octahedralization introduces no new vertices on the boundary of the polytope.

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Giulia Codenotti, Lorenzo Venturello. 2019-12-18. Octahedralizing 3-colorable 3-polytopes. https://arxiv.org/abs/1903.10178

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