No acute tetrahedron is an 8-reptile

DOI10.1016/j.disc.2017.10.010zbMath1385.52008arXiv1508.03773OpenAlexW2962998253MaRDI QIDQ1699564

Herman J. Haverkort

Publication date: 23 February 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03773

zbMATH Keywords

tessellationtetrahedronreptile

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10)

Related Items (2)

Computer geometry: rep-tiles with a hole ⋮ FRACTAL REP TILES OF ℝ2 AND ℝ3 USING INTEGER MATRICES

Cites Work

• On the nonexistence of \(k\)-reptile tetrahedra
• Rep-tiling for triangles
• Tiling space by platonic solids. I
• Tiling space and slabs with acute tetrahedra.
• Self-similar simplices
• Three infinite families of tetrahedral space-fillers
• Efficient Storage and Processing of Adaptive Triangular Grids Using Sierpinski Curves
• Which Tetrahedra Fill Space?
• On the Shape of Tetrahedra from Bisection
• Replicating Figures in the Plane

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