The impossibility of a tesselation of the plane into equilateral triangles whose sidelengths are mutually different, one of them being minimal

zbMath0515.52007MaRDI QIDQ1051908

Karl Scherer

Publication date: 1983

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/141300

zbMATH Keywords

tiling of the plane with triangles

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Combinatorial aspects of tessellation and tiling problems (05B45) Combinatorial aspects of packing and covering (05B40)

Related Items (4)

Tiling the Plane with Different Hexagons and Triangles ⋮ Tiling by incongruent equilateral triangles without requiring local finiteness ⋮ Tilings of convex sets by mutually incongruent equilateral triangles contain arbitrarily small tiles ⋮ Tilings of convex polygons by equilateral triangles of many different sizes

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