On triangulations with fixed areas
Combinatorics
2024-02-13 v2 Algebraic Geometry
Metric Geometry
Abstract
We prove that the number of dissections of a given polygon into triangles with fixed areas of faces is finite and that an equidissection is algebraic as long as the vertices of the original polygon have algebraic coordinates.
Cite
@article{arxiv.2311.05775,
title = {On triangulations with fixed areas},
author = {Ivan Frolov},
journal= {arXiv preprint arXiv:2311.05775},
year = {2024}
}
Comments
4 pages, 1 figure. Version 2.0, added introduction and bibliography