English

Fair partitions of the plane into incongruent pentagons

Metric Geometry 2022-02-04 v1

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.

Keywords

Cite

@article{arxiv.2202.01674,
  title  = {Fair partitions of the plane into incongruent pentagons},
  author = {Dirk Frettlöh and Christian Richter},
  journal= {arXiv preprint arXiv:2202.01674},
  year   = {2022}
}

Comments

6 pages, 2 figures