Tilings of the plane with unit area triangles of bounded diameter

DOI10.1007/s10474-018-0808-9zbMath1413.52028arXiv1712.03118OpenAlexW2772294356MaRDI QIDQ722368

János Pach, Andrey B. Kupavskii, Gábor Tardos

Publication date: 23 July 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03118

zbMATH Keywords

noncongruent triangletriangular tiling

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (5)

Incongruent equipartitions of the plane ⋮ On monohedral tilings of a regular polygon ⋮ Tilings of convex sets by mutually incongruent equilateral triangles contain arbitrarily small tiles ⋮ Incongruent equipartitions of the plane into quadrangles of equal perimeters ⋮ Hexagon tilings of the plane that are not edge-to-edge

Cites Work

• Fair partitions of polygons: an elementary introduction
• Equipartitioning by a convex 3-fan
• Tilings with noncongruent triangles
• Convex equipartitions via equivariant obstruction theory
• Cannons at sparrows
• Convex equipartitions: the spicy chicken theorem
• Gerrymandering, Sandwiches, and Topology

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