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Articles

Bi-Symmetric Polyhedral Cages with Maximally Connected Faces and Small Holes

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By Bernard Piette, Árpad Lukács
| MDPI
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Bi-Symmetric Polyhedral Cages with Maximally Connected Faces and Small Holes

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By Bernard Piette, Árpad Lukács
| preprints.org
Preprint Article Version 1 This version is not peer-reviewed Version 1 : Received: 5 November 2024 / Approved: 6 November 2024 / Online: 7 November 2024 (07:18:58 CET) Piette, B.; Lukacs, A. Bi-Symmetric Polyhedral Cages with Maximally Connected Faces and Small Holes. Preprints 2024, 2024110400. https://doi.org/10.20944/preprints202411.0400.v1 Piette, B.; Lukacs, A. Bi-Symmetric Polyhedral Cages with Maximally Connected Faces and Small Holes. Preprints 2024, 2024110400.
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Biequivalent Planar Graphs

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By Bernard Piette
| MDPI
1. Introduction Recently, we showed that to construct a polyhedral cage (p-cages for short) one must use planar graphs to characterise how the different faces of a p-cage are linked together [1]. P-cages are assemblies of regular or nearly regular polygons but with holes. The nodes of the graph correspond to the faces of the p-cage, while the edges determine which of the faces are sharing an edge.
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