Three infinite families of tetrahedral space-fillers

DOI10.1016/0097-3165(74)90058-2zbMath0286.52008OpenAlexW2055261077MaRDI QIDQ1846115

Michael Goldberg

Publication date: 1974

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(74)90058-2

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Polytopes and polyhedra (52Bxx)

Related Items (14)

On the nonexistence of \(k\)-reptile simplices in \(\mathbb R^3\) and \(\mathbb R^4\) ⋮ Polytopes that fill \(\mathbb{R}^ n\) and scissors congruence ⋮ Unnamed Item ⋮ Construction and shape optimization of simplicial meshes in \(d\)-dimensional space ⋮ Optimization of Subdivision Invariant Tetrahedra ⋮ On the dodecahedral space-fillers ⋮ No acute tetrahedron is an 8-reptile ⋮ On the space-filling octahedra ⋮ Face-to-face partition of 3D space with identical well-centered tetrahedra. ⋮ On the nonexistence of \(k\)-reptile tetrahedra ⋮ Tiling space and slabs with acute tetrahedra. ⋮ The least-area tetrahedral tile of space ⋮ Tilings with congruent tiles ⋮ The space-filling pentahedra. II

Cites Work

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• Two more tetrahedra equivalent to cubes by dissection
• The space-filling pentahedra
• Metrical Coordinates in Non-Euclidean Geometry
• Zerlegung des n‐dimensionalen Raumes in kongruente Simplexe

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