The architecture of platonic polyhedral links

DOI10.1007/s10910-008-9487-zzbMath1196.92052OpenAlexW2028115812MaRDI QIDQ839402

Wen-Yuan Qiu, Xin-Dong Zhai, Dan Lu, Guang Hu

Publication date: 2 September 2009

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: http://202.201.7.4:8080/handle/262010/77015

zbMATH Keywords

link invariantsknot theorypolyhedral linksDNA catenanesplatonic polyhedra

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (12)

Design formalism for DNA self-assembly of polyhedral skeletons using rigid tiles ⋮ Ear decomposition of 3-regular polyhedral links with applications ⋮ Configuration of DNA polyhedra of truncated tetrahedron, cuboctahedron, truncated octahedron ⋮ Topological analysis of enzymatic actions on DNA polyhedral links ⋮ Constructions of DNA and polypeptide cages based on plane graphs and odd crossing \(\pi \)-junctions ⋮ The complexity of Platonic and Archimedean polyhedral links ⋮ The architecture of polyhedral links and their HOMFLY polynomials ⋮ Enumerating the total colorings of a polyhedron and application to polyhedral links ⋮ The architecture and the Jones polynomial of polyhedral links ⋮ Molecular design of DNA polyhedra based on genus ⋮ Topological chirality of a type of DNA and protein polyhedral links ⋮ Configurations of DNA cages based on plane graphs and vertex junctions

Cites Work

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• Hydrocarbon links in an octet truss
• Specification of chirality for links and knots
• Blueprints for dodecahedral DNA cages

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