Randomly Formed Polyhedral Cages

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

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