Geodesic
Two Approaches to Geometrography
Journal for geometry and graphics, Tome 14 (2010) no. 1, pp. 15-28.

Voir la notice de l'article provenant de 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 
@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},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2010},
     url = {http://geodesic.mathdoc.fr/item/JGG_2010_14_1_JGG_2010_14_1_a1/}
}
TY  - JOUR
AU  - J. K. Merikoski
AU  - T. Tossavainen 
TI  - Two Approaches to Geometrography
JO  - Journal for geometry and graphics
PY  - 2010
SP  - 15
EP  - 28
VL  - 14
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JGG_2010_14_1_JGG_2010_14_1_a1/
ID  - JGG_2010_14_1_JGG_2010_14_1_a1
ER  - 
%0 Journal Article
%A J. K. Merikoski
%A T. Tossavainen 
%T Two Approaches to Geometrography
%J Journal for geometry and graphics
%D 2010
%P 15-28
%V 14
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JGG_2010_14_1_JGG_2010_14_1_a1/
%F 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/