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Randomly Formed Polyhedral Cages

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

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Abstract

Polyhedral cages (or p-cages) are a generalisation of the polyhedron surface: they are objects in three-dimensional space consisting of planar polygons attached along shared edges but allowed to have holes and thus edges not shared by two polygons. The main motivation driving the research into the properties of p-cages is the structure of artificial protein cages such as the TRAP cage recently discovered by the Heddle group. Recently, the main activity concerned p-cages with faces being slightly deformed from regular and a certain level of uniformity (geometric or merely combinatorial) among the faces. In the present work, we examine typical randomly formed p-cages without any prescribed symmetries.

Citation

Lukács, Á., & Piette, B. M. A. G. (2025). Randomly Formed Polyhedral Cages. Axioms, 14(2), Article 83. https://doi.org/10.3390/axioms14020083

Journal Article Type Article
Acceptance Date Jan 20, 2025
Online Publication Date Jan 23, 2025
Publication Date 2025-02
Deposit Date Jan 31, 2025
Publicly Available Date Jan 31, 2025
Journal Axioms
Electronic ISSN 2075-1680
Publisher MDPI
Peer Reviewed Peer Reviewed
Volume 14
Issue 2
Article Number 83
DOI https://doi.org/10.3390/axioms14020083
Keywords polyhedral cages, protein cages, 5108, 00A69, p-cages
Public URL https://durham-repository.worktribe.com/output/3362585

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