Pairs of polyhedra sharing the same 1-skeleton in 3D and 4D spaces, without a single common face

DOI10.1080/09720529.2022.2027603zbMath1490.52012OpenAlexW4223437456WikidataQ114847687 ScholiaQ114847687MaRDI QIDQ5865681

A. Lao, S. A. Lavrenchenko

Publication date: 9 June 2022

Published in: Journal of Discrete Mathematical Sciences and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720529.2022.2027603

zbMATH Keywords

polyhedrontorusprojective planeMöbius bandGeoGebraSchlegel diagram

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Polyhedra and polytopes; regular figures, division of spaces (51M20) Planar graphs; geometric and topological aspects of graph theory (05C10) Polyhedral manifolds (52B70)

Cites Work

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• Polyhedral suspensions of arbitrary genus
• The number of triangular packings of a vertex labelled graph on a torus
• Geometric realization of a triangulation on the projective plane with one face removed
• All triangulations of the projective plane are geometrically realizable in \(E^ 4\).
• Structural characterization of projective flexibility
• Number of triangular packings of a marked graph on a projective plane
• How to exhibit toroidal maps in space
• Analyzing the boron triangular nanotube through topological indices via M-polynomial
• Irreducible triangulations of the M\"obius band
• A NEW VERTEX-COLORING EDGE-WEIGHTING OF COMPLETE GRAPHS

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