Fair partitions of the plane into incongruent pentagons

2022/02/03 by Dirk Frettlöh, Christian Richter, Frettlöh, Dirk +1
Engineering · Mathematics · #52C20 #Advanced Materials and Mechanics #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2202.01674

openalex publication_date 2022/02/03 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

Motivated by a question of R. Nandakumar, we show that the Euclidean plane can be dissected into mutually incongruent convex pentagons of the same area and the same perimeter.

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