The least-area tetrahedral tile of space

DOI10.1007/s10711-019-00465-xzbMath1441.52018arXiv1709.04139OpenAlexW3100452543MaRDI QIDQ2306060

Yanyan Li

Publication date: 20 March 2020

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.04139

zbMATH Keywords

polyhedraEuclidean spaceisoperimetrytilingtetrahedra

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Three-dimensional polytopes (52B10) Isoperimetric problems for polytopes (52B60) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

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• Tetrahedron classes based on edge lengths
• Relations between edge lengths, dihedral and solid angles in tetrahedra
• Sommerville's missing tetrahedra
• Three infinite families of tetrahedral space-fillers
• Which Tetrahedra Fill Space?
• The SIAM 100-Digit Challenge
• Zerlegung des n‐dimensionalen Raumes in kongruente Simplexe

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