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Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages
Journal
Proceedings - Royal Society. Mathematical, physical and engineering sciences
100
Author
Piette Bernard M. A. G.
Kowalczyk Agnieszka
Heddle Jonathan
Volume
478
Number
2260
Article ID
20210679
ISSN
1364-5021
eISSN
1471-2946
Keywords in English
uniform polyhedra
Platonic group
near-miss cages
protein cage
nano-cage
capsid
Language
English
Journal language
English
Abstract in English
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.
Affiliation
Wydział Matematyki i InformatykiPion Prorektora ds. badań naukowych : Małopolskie Centrum Biotechnologii
Scopus© citations
5
| cris.lastimport.wos | 2024-04-10T01:08:31Z | |
| dc.abstract.en | 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. | pl |
| dc.affiliation | Wydział Matematyki i Informatyki | pl |
| dc.affiliation | Pion Prorektora ds. badań naukowych : Małopolskie Centrum Biotechnologii | pl |
| dc.contributor.author | Piette, Bernard M. A. G. | pl |
| dc.contributor.author | Kowalczyk, Agnieszka - 204992 | pl |
| dc.contributor.author | Heddle, Jonathan - 352177 | pl |
| dc.date.accessioned | 2022-05-16T20:30:46Z | |
| dc.date.available | 2022-05-16T20:30:46Z | |
| dc.date.issued | 2022 | pl |
| dc.date.openaccess | 0 | |
| dc.description.accesstime | w momencie opublikowania | |
| dc.description.number | 2260 | pl |
| dc.description.version | ostateczna wersja wydawcy | |
| dc.description.volume | 478 | pl |
| dc.identifier.articleid | 20210679 | pl |
| dc.identifier.doi | 10.1098/rspa.2021.0679 | pl |
| dc.identifier.eissn | 1471-2946 | pl |
| dc.identifier.issn | 1364-5021 | pl |
| dc.identifier.project | 2016/20/W/NZ1/00095 | pl |
| dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/292042 | |
| dc.language | eng | pl |
| dc.language.container | eng | pl |
| dc.rights | Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa | * |
| dc.rights.licence | CC-BY | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/legalcode.pl | * |
| dc.share.type | inne | |
| dc.subject.en | uniform polyhedra | pl |
| dc.subject.en | Platonic group | pl |
| dc.subject.en | near-miss cages | pl |
| dc.subject.en | protein cage | pl |
| dc.subject.en | nano-cage | pl |
| dc.subject.en | capsid | pl |
| dc.subtype | Article | pl |
| dc.title | Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages | pl |
| dc.title.journal | Proceedings - Royal Society. Mathematical, physical and engineering sciences | pl |
| dc.type | JournalArticle | pl |
| dspace.entity.type | Publication |
cris.lastimport.wos
2024-04-10T01:08:31Z dc.abstract.enpl
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. dc.affiliationpl
Wydział Matematyki i Informatyki dc.affiliationpl
Pion Prorektora ds. badań naukowych : Małopolskie Centrum Biotechnologii dc.contributor.authorpl
Piette, Bernard M. A. G. dc.contributor.authorpl
Kowalczyk, Agnieszka - 204992 dc.contributor.authorpl
Heddle, Jonathan - 352177 dc.date.accessioned
2022-05-16T20:30:46Z dc.date.available
2022-05-16T20:30:46Z dc.date.issuedpl
2022 dc.date.openaccess
0 dc.description.accesstime
w momencie opublikowania dc.description.numberpl
2260 dc.description.version
ostateczna wersja wydawcy dc.description.volumepl
478 dc.identifier.articleidpl
20210679 dc.identifier.doipl
10.1098/rspa.2021.0679 dc.identifier.eissnpl
1471-2946 dc.identifier.issnpl
1364-5021 dc.identifier.projectpl
2016/20/W/NZ1/00095 dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/292042 dc.languagepl
eng dc.language.containerpl
eng dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa dc.rights.licence
CC-BY dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl dc.share.type
inne dc.subject.enpl
uniform polyhedra dc.subject.enpl
Platonic group dc.subject.enpl
near-miss cages dc.subject.enpl
protein cage dc.subject.enpl
nano-cage dc.subject.enpl
capsid dc.subtypepl
Article dc.titlepl
Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages dc.title.journalpl
Proceedings - Royal Society. Mathematical, physical and engineering sciences dc.typepl
JournalArticle dspace.entity.type
Publication Affiliations
Wydział Matematyki i Informatyki
Kowalczyk, Agnieszka
Małopolskie Centrum Biotechnologii
Heddle, Jonathan
No affiliation
Piette, Bernard M. A. G.
* The migration of download and view statistics prior to the date of April 8, 2024 is in progress.
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