From the cube to the Dyck and Klein tessellations: implications for the structures of zeolite-like carbon and boron nitride allotropes

DOI10.1007/s10910-004-6894-7zbMath1097.92069OpenAlexW1986186176MaRDI QIDQ2503684

R. Bruce King, Mircea Vasile Diudea

Publication date: 22 September 2006

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

Full work available at URL: https://doi.org/10.1007/s10910-004-6894-7

zbMATH Keywords

Carbonboron nitrideDyck tessellationKlein tessellation

Mathematics Subject Classification ID

Discrete geometry (52C99) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Cites Work

• Novel highly symmetrical trivalent graphs which lead to negative curvature carbon and boron nitride chemical structures
• Weierstrass points on regular maps
• Fullerenes and coordination polyhedra versus half-cube embeddings
• The heptakisoctahedral group and its relevance to carbon allotropes with negative curvature

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