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

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 r...

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Detalles Bibliográficos
Autores principales: Piette, Bernard M. A. G., Kowalczyk, Agnieszka, Heddle, Jonathan G.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8984814/
https://www.ncbi.nlm.nih.gov/pubmed/35450023
http://dx.doi.org/10.1098/rspa.2021.0679
Descripción
Sumario: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.