New family of tilings of three-dimensional Euclidean space by tetrahedra and octahedra

DOI10.1073/pnas.1105594108zbMath1256.52010OpenAlexW2085359951WikidataQ30502225 ScholiaQ30502225MaRDI QIDQ4907476

Yang Jiao, Salvatore Torquato, Conway, John H.

Publication date: 2 February 2013

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.1105594108

zbMATH Keywords

polytopesspace-fillingnonoverlapping solids

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (3)

Exact results for the jammed state of binary mixtures of superdisks on the plane ⋮ Control of connectivity and rigidity in prismatic assemblies ⋮ Filling space with polydisperse spheres in a non-Apollonian way

Cites Work

• Optimality and uniqueness of the Leech lattice among lattices
• Pentaplexity. A class of non-periodic tilings of the plane
• Densest lattice packings of 3-polytopes.
• Centroidal Voronoi Tessellations: Applications and Algorithms
• Packing, tiling, and covering with tetrahedra

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