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...

Descripción completa

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:
Research Articles
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
_version_ 1784682261726101504
author Piette, Bernard M. A. G.
Kowalczyk, Agnieszka
Heddle, Jonathan G.
author_facet Piette, Bernard M. A. G.
Kowalczyk, Agnieszka
Heddle, Jonathan G.
author_sort Piette, Bernard M. A. G.
collection PubMed
description 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.
format Online
Article
Text
id pubmed-8984814
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher The Royal Society
record_format MEDLINE/PubMed
spelling pubmed-89848142022-04-20 Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages Piette, Bernard M. A. G. Kowalczyk, Agnieszka Heddle, Jonathan G. Proc Math Phys Eng Sci Research Articles 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. The Royal Society 2022-04 2022-04-06 /pmc/articles/PMC8984814/ /pubmed/35450023 http://dx.doi.org/10.1098/rspa.2021.0679 Text en © 2022 The Authors. https://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, provided the original author and source are credited.
spellingShingle Research Articles
Piette, Bernard M. A. G.
Kowalczyk, Agnieszka
Heddle, Jonathan G.
Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages
title Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages
title_full Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages
title_fullStr Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages
title_full_unstemmed Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages
title_short Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages
title_sort characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages
topic Research Articles
url 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
work_keys_str_mv AT piettebernardmag characterizationofnearmissconnectivityinvarianthomogeneousconvexpolyhedralcages
AT kowalczykagnieszka characterizationofnearmissconnectivityinvarianthomogeneousconvexpolyhedralcages
AT heddlejonathang characterizationofnearmissconnectivityinvarianthomogeneousconvexpolyhedralcages

Ejemplares similares