English

The longest perimeter small triacontadigon

Metric Geometry 2022-06-28 v1

Abstract

We showcase a small triacontadigon, i.e. a convex 3232-gon of unit diameter, with perimeter 3.14033115695463.1403311569546, which improves on all examples available so far.

Cite

@article{arxiv.2206.13251,
  title  = {The longest perimeter small triacontadigon},
  author = {Bernd Mulansky and Andreas Potschka},
  journal= {arXiv preprint arXiv:2206.13251},
  year   = {2022}
}

Comments

5 pages, 2 figures, 1 table

R2 v1 2026-06-24T12:05:13.943Z