Near-Miss Symmetric Polyhedral Cages

Piette, Bernard M. A. G.; Lukács, Árpad

Abstract

Following the experimental discovery of several nearly symmetric protein cages, we define the concept of homogeneous symmetric congruent equivalent near-miss polyhedral cages made out of P-gons. We use group theory to parameterize the possible configurations and we minimize the irregularity of the P-gons numerically to construct all such polyhedral cages for 𝑃=6 to 𝑃=20 with deformation of up to 10%.

Citation

Piette, B. M. A. G., & Lukács, Á. (2023). Near-Miss Symmetric Polyhedral Cages. Symmetry, 15(3), Article 717. https://doi.org/10.3390/sym15030717

• Journal Article Type: Article
• Acceptance Date: Mar 9, 2023
• Online Publication Date: Mar 13, 2023
• Publication Date: 2023-03
• Deposit Date: Oct 23, 2023
• Publicly Available Date: Oct 24, 2023
• Journal: Symmetry
• Electronic ISSN: 2073-8994
• Publisher: MDPI
• Peer Reviewed: Peer Reviewed
• Volume: 15
• Issue: 3
• Article Number: 717
• DOI: https://doi.org/10.3390/sym15030717
• Public URL: https://durham-repository.worktribe.com/output/1815146