Trisecting a parallelogram
type: Item
instance of: scholarly article
title: Trisecting a parallelogram
zbMATH Open document ID: 1018.52017
author: Liping Yuan
author: Ren Ding
author: Yuqin Zhang
published in: Applied Mathematics. Series B (English Edition)
publication date: 2003-09-09T00:00:00Z
review text: \textit{S. J. Maltby} [J. Comb. Theory, Ser. A 66, 40-52 (1994; Zbl 0797.05030)] proved that if a rectangle is dissected into 3 congruent pieces then those pieces must themselves be rectangles. In the present paper this result is generalized to parallelograms. The proof is elementary but not simple (8 lemmas, then the main theorem).
Mathematics Subject Classification ID: 52C20
Mathematics Subject Classification ID: 52B45
Mathematics Subject Classification ID: 05B45
zbMATH DE Number: 1836082
zbMATH Keywords: trisecting a parallelogram
zbMATH Keywords: parallelograms
MaRDI profile type: Publication
full work available at URL: s11766-002-0009-7
OpenAlex ID: W2084912224
cites work: Trisecting a rectangle
DOI: 10.1007/S11766-002-0009-7
description: scientific article; zbMATH DE number 1836082