On Triangulations with Fixed Areas

IF 0.7 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2026-01-15 DOI:10.1134/S1234567825040093

Ivan Frolov

引用次数: 0

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.

查看原文本刊更多论文

关于固定区域的三角剖分

我们证明了给定多边形的三角形剖分的数目是有限的，并且只要原多边形的顶点具有代数坐标，等距分割就是代数的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.