On monohedral tilings of a regular polygon

DOI10.1007/s00010-023-00973-yarXiv2109.14264OpenAlexW3201858946MaRDI QIDQ6130590

Zsolt Lángi, Unnamed Author

Publication date: 3 April 2024

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.14264

zbMATH Keywords

monohedral tilingJordan regiondissectiontopological disc

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Cites Work

• Unnamed Item
• Dissecting the square into five congruent parts
• Dissecting a square into rectangles of equal area
• Tilings of the plane with unit area triangles of bounded diameter
• Rectangular dissections of a square
• Trisecting a rectangle
• Space-filling curves
• Tilings with noncongruent triangles
• Noncongruent equidissections of the plane
• Incongruent equipartitions of the plane into quadrangles of equal perimeters
• Hexagon tilings of the plane that are not edge-to-edge
• Monohedral tilings of a convex disc with a smooth boundary
• Dissecting the square into seven or nine congruent parts
• Incongruent equipartitions of the plane
• Tiling a circular disc with congruent pieces
• DECOMPOSITION OF BALLS IN
• Can you see the bubbles in a foam?
• DECOMPOSITION OF BALLS INTO CONGRUENT PIECES
• Dissecting a square into congruent polygons

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