English

Equidissections of darts

Metric Geometry 2023-08-15 v1

Abstract

We define the dart D(a)D(a) to be the nonconvex quadrilateral whose vertices are (0,1),(1,1),(1,0),(a,a)(0,1), (1,1), (1,0), (a,a) (in counterclockwise order), with a>1a>1. Such a dart can be dissected into any even number of equal-area triangles. Here we investigate darts that can be dissected into an odd number of equal-area triangle.

Keywords

Cite

@article{arxiv.2308.06423,
  title  = {Equidissections of darts},
  author = {Yusong Deng and Iwan Praton},
  journal= {arXiv preprint arXiv:2308.06423},
  year   = {2023}
}