Perimeter-minimizing pentagonal tilings

DOI10.2140/involve.2014.7.453zbMath1301.52036OpenAlexW1994110588MaRDI QIDQ2511309

Niralee Shah, Miguel A. Fernández, Ping Ngai Chung, Luis Sordo Vieira, Elena Wikner

Publication date: 5 August 2014

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/involve.2014.7.453

zbMATH Keywords

areaflat torusEuclidean planetilingperimeterpentagonisoperimetric

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

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