Geodesic
Two Approaches to Geometrography
Journal for geometry and graphics, Tome 14 (2010) no. 1, pp. 15-28
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Geometrography studies the complexity of ruler-and-compass constructions. According to our knowledge, so far the only remarkable work in this field is by É. 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.
Classification : 51M15
Mots-clés : Geometric constructions, complexity, statistical modelling 
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     author = {J. K. Merikoski and T. Tossavainen},
     title = {Two {Approaches} to {Geometrography}},
     journal = {Journal for geometry and graphics},
     pages = {15--28},
     year = {2010},
     volume = {14},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2010_14_1_JGG_2010_14_1_a1/}
}
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J. K. Merikoski; T. Tossavainen. Two Approaches to Geometrography. Journal for geometry and graphics, Tome 14 (2010) no. 1, pp. 15-28. http://geodesic.mathdoc.fr/item/JGG_2010_14_1_JGG_2010_14_1_a1/