- https://doi.org/10.1134/s1234567825040093
On Triangulations with Fixed Areas
TL;DR
This paper proves that the number of triangulations of a polygon into triangles with fixed face areas is finite, and demonstrates that an equidissection is algebraic when the polygon's vertices have algebraic coordinates.
Abstract
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Translate Article We prove that the number of triangulations 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.
