Work

On Triangulations with Fixed Areas

Year: 2025

Type: article

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.

Source: Functional Analysis and Its Applications

DOI: 10.1134/s1234567825040093

Author: Ivan Frolov

Institutions: National Research University Higher School of Economics, Instituto Nacional de Matemática Pura e Aplicada

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7124313589

FWCI:

Cites: 7

Cited by:

Related to: