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Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages

Piette, Bernard M.A.G.; Kowalczyk, Agnieszka; Heddle, Jonathan G.

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Authors

Agnieszka Kowalczyk

Jonathan G. Heddle



Abstract

Following the discovery of a nearly symmetric protein cage, we introduce the new mathematical concept of a near-miss polyhedral cage (p-cage) as an assembly of nearly regular polygons with holes between them. We then introduce the concept of the connectivity-invariant p-cage and show that they are related to the symmetry of uniform polyhedra. We use this relation, combined with a numerical optimization method, to characterize some classes of near-miss connectivity-invariant p-cages with a deformation below 10% and faces with up to 17 edges.

Citation

Piette, B. M., Kowalczyk, A., & Heddle, J. G. (2022). Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478(2260), Article 20210679. https://doi.org/10.1098/rspa.2021.0679

Journal Article Type Article
Acceptance Date Feb 28, 2022
Online Publication Date Apr 6, 2022
Publication Date 2022-04
Deposit Date Apr 7, 2022
Publicly Available Date Apr 7, 2022
Journal Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Print ISSN 1364-5021
Electronic ISSN 1471-2946
Publisher The Royal Society
Peer Reviewed Peer Reviewed
Volume 478
Issue 2260
Article Number 20210679
DOI https://doi.org/10.1098/rspa.2021.0679

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