We investigate the question of whether any d-colorable simplicial d-polytope 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.
Codenotti, G., Venturello, L. (2021). Octahedralizing 3-Colorable 3-Polytopes. DISCRETE & COMPUTATIONAL GEOMETRY, 66(4), 1429-1445 [10.1007/s00454-020-00262-4].
Octahedralizing 3-Colorable 3-Polytopes
Venturello L.
2021-01-01
Abstract
We investigate the question of whether any d-colorable simplicial d-polytope 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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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11365/1256079