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

Piette, Bernard M. A. G. and Kowalczyk, Agnieszka and Heddle, Jonathan 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). p. 20210679.

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.

Item Type:Article
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1098/rspa.2021.0679
Publisher statement:© 2022 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
Date accepted:28 February 2022
Date deposited:07 April 2022
Date of first online publication:06 April 2022
Date first made open access:07 April 2022

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