Equidissections of centrally symmetric octagons
type: Item
instance of: scholarly article
title: Equidissections of centrally symmetric octagons
zbMATH Open document ID: 0681.52008
DOI: 10.1007/BF01836454
author: Sherman Stein
published in: Aequationes Mathematicae
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/137310
review text: The author proves that a centrally symmetric octagon (or hexagon) cannot be dissected into an odd number of triangles of equal areas. This property was earlier proved for quadrilaterals [\textit{P. Monsky}, Am. Math. Monthly 77, 161-164 (1970; Zbl 0187.197)]. The author conjectures that no centrally symmetric polygon can be so dissected and offers additional evidence to support the conjecture.
Mathematics Subject Classification ID: 52C17
Mathematics Subject Classification ID: 52Bxx
zbMATH DE Number: 4115430
zbMATH Keywords: equidissection
zbMATH Keywords: centrally symmetric octagon
MaRDI profile type: Publication
cites work: Dissections of regular polygons into triangles of equal areas
cites work: Dissection of the Hypercube into Simplexes
cites work: On Dividing a Square Into Triangles
cites work: Q5522742
cites work: Q5569083
OpenAlex ID: W2007231424
description: scientific article; zbMATH DE number 4115430