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Journal for Geometry and Graphics 14 (2010), No. 1, 015--028
Copyright Heldermann Verlag 2010



Two Approaches to Geometrography

Jorma K. Merikoski
Dept. of Mathematics and Statistics, University of Tampere, 33014 Tampere, Finland
jorma.merikoski@uta.fi

Timo Tossavainen
School of Applied Educational Science and Teacher Education, University of Eastern Finland, 57101 Savonlinna, Finland
timo.tossavainen@uef.fi



Geometrography studies the complexity of ruler-and-compass constructions. According to our knowledge, so far the only remarkable work in this field is by . Lemoine. We survey his method and present another method based on statistical modelling. We compare these methods by studying the complexity of certain constructions of a perpendicular to a line and a regular pentagon. A purpose of this paper is to show that geometrography has potential to enrich geometry and graphics education in school. The latter, statistical, method also provides tools for a more advanced analysis of error propagation through geometric transformation.

Keywords: Geometric constructions, complexity, statistical modelling.

MSC: 51M15

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