Two Approaches to Geometrography
Journal for geometry and graphics, Tome 14 (2010) no. 1, pp. 15-28
Cet article a éte moissonné depuis la source Heldermann Verlag
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.
Classification :
51M15
Mots-clés : Geometric constructions, complexity, statistical modelling
Mots-clés : Geometric constructions, complexity, statistical modelling
@article{JGG_2010_14_1_JGG_2010_14_1_a1,
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/}
}
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/