Bi-Symmetric Polyhedral Cages with Maximally Connected Faces and Small Holes
How to cite: 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. https://doi.org/10.20944/preprints202411.0400.v1
Abstract
Polyhedral cages (p-cages) describe the geometry of some families of artificial protein cages. We identify the p-cages made out of families of equivalent polygonal faces such that the faces of 1 family has 5 neighbours and P_1 edges, while those of the other family have 6 neighbours and P_2 edges. We restrict ourselves to polyhedral cages where the holes are adjacent to at most 4 faces. We characterise all the p-cages with a deformation of the faces, compared to regular polygons, not exceeding 10%.
Keywords
Uniform Polyhedra; Polyhedral Cages; Platonic Group; Near-miss Cages; Cayley graph; Protein Cage; Nano-cage; Capsid; Nanoparticle
Subject
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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