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Abstract <p> 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. </p>

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On Triangulations with Fixed Areas

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Ivan Frolov

摘要

Abstract

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.