Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 44, No. 1, pp. 47-55 (2003)

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Squaring the Circle by Dissection

Eike Hertel and Christian Richter

Mathematisches Institut, Friedrich-Schiller-Universität Jena, D-07740 Jena, Germany, e-mail: hertel@minet.uni-jena.de, e-mail: richterc@minet.uni-jena.de

Abstract: The set-theoretical circle-squaring problem goes back to Tarski: Can a circle be partitioned into sets that can be reassembled to form a square? We give a short survey on results to this question and add new claims concerning ``scissor congruence'' of circle and square with respect to particular affine transformations.

Keywords: squaring the circle, equidecomposable, congruent by dissection, homothety, similarity, equiaffine map, affine map

Classification (MSC2000): 52B45

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Electronic version published on: 3 Apr 2003. This page was last modified: 4 May 2006.

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