On the nonexistence of \(k\)-reptile tetrahedra

DOI10.1007/s00454-011-9334-zzbMath1270.52014arXiv1006.1807OpenAlexW2112820001MaRDI QIDQ644820

Zuzana Safernová, Ji{ří} Matoušek

Publication date: 7 November 2011

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1807

zbMATH Keywords

tilingself similaritygeometry of a simplexReptile

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (7)

On the nonexistence of \(k\)-reptile simplices in \(\mathbb R^3\) and \(\mathbb R^4\) ⋮ A comparison between the XFEM and a boundary-fitted mesh method for the simulation of rigid particles in Cahn-Hilliard fluids ⋮ No acute tetrahedron is an 8-reptile ⋮ Some replicating simplices other than Hill-simplices ⋮ Computer geometry: rep-tiles with a hole ⋮ Red refinements of simplices into congruent subsimplices ⋮ FRACTAL REP TILES OF ℝ2 AND ℝ3 USING INTEGER MATRICES

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