The longest perimeter small triacontadigon

2022/06/06 by Bernd Mulansky, Mulansky, Bernd, Andreas Potschka +1
Materials Science · Mathematics · #52A10 (Secondary) #90C26 (Primary) #FOS: Mathematics #Geometric and Algebraic Topology #Metric Geometry (math.MG) #Point processes and geometric inequalities #Supramolecular Self-Assembly in Materials

paper · pdf · doi:10.48550/arxiv.2206.13251

openalex publication_date 2022/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We showcase a small triacontadigon, i.e. a convex 32-gon of unit diameter, with perimeter 3.1403311569546, which improves on all examples available so far.

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