by **
Eike Hertel**

**Preprint series:**
00-06, Reports on Algebra and Geometry

**The paper is published:**
Jenaer Schriften zur Mathematik und Informatik, Math/Inf/00/04, Universität Jena,
Germany, 2000

**MSC:**- 52B45 Dissections and valuations (Hilbert's third problem, etc.)

**Abstract:** The set-theoretical circle-squaring problem goes back to

A. 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 prove the impossibility of the

circle-squaring with respect to similarities and using

elementary sets as pieces of the dissection.

**Keywords:** *Equidissectability Similarities*

**Upload:** 2000-03-31

**Update:** 2000-04-03

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