Dissections of regular polygons into triangles of equal areas
type: Item
instance of: scholarly article
title: Dissections of regular polygons into triangles of equal areas
zbMATH Open document ID: 0675.52005
DOI: 10.1007/BF02187738
author: E. A. Kasimatis
published in: Discrete \& Computational Geometry
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/131087
review text: The following theorem is proved: Let \(n\geq 5\) be an integer. Then a regular n-gon is dissectable into m triangles of equal areas iff m is a multiple of n. For the proof the author uses Sperner's lemma, non- Archimedean valuations and dissectability-techniques.
Mathematics Subject Classification ID: 52C17
Mathematics Subject Classification ID: 51M20
Mathematics Subject Classification ID: 52A10
Mathematics Subject Classification ID: 05B45
zbMATH DE Number: 4105744
zbMATH Keywords: dissections
zbMATH Keywords: convex polygons
zbMATH Keywords: tilings
reviewed by: Jörg M. Wills
MaRDI profile type: Publication
cites work: Q5587233
cites work: Q3856844
cites work: Q3939864
cites work: Dissection of the Hypercube into Simplexes
cites work: On Dividing a Square Into Triangles
cites work: A Dissection Problem
description: scientific article; zbMATH DE number 4105744