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Near-Miss Bi-Homogenous Symmetric Polyhedral Cages

Piette, Bernard; Lukács, Árpad



Following the discovery of an artificial protein cage with a paradoxical geometry, we extend the concept of homogeneous symmetric congruent equivalent near-miss polyhedral cages, for which all the faces are equivalent, and define bi-homogeneous symmetric polyhedral cages made of two different types of faces, where all the faces of a given type are equivalent. We parametrise the possible connectivity configurations for such cages, analytically derive p-cages that are regular, and numerically compute near-symmetric p-cages made of polygons with 6 to 18 edges and with deformation not exceeding 10%.


Piette, B., & Lukács, Á. (2023). Near-Miss Bi-Homogenous Symmetric Polyhedral Cages. Symmetry, 15(9), Article 1804.

Journal Article Type Article
Acceptance Date Sep 13, 2023
Online Publication Date Sep 21, 2023
Publication Date 2023-09
Deposit Date Oct 18, 2023
Publicly Available Date Oct 18, 2023
Journal Symmetry
Publisher MDPI
Peer Reviewed Peer Reviewed
Volume 15
Issue 9
Article Number 1804
Keywords Cayley graph, nanoparticle, uniform polyhedra, polyhedral cages, platonic group, protein cage, nanocage, near-miss cages
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