2019
DOI: 10.48550/arxiv.1903.10178
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Octahedralizing 3-colorable 3-polytopes

Abstract: We investigate the question of whether any d-colorable simplicial dpolytope can be octahedralized, i.e., 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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