Geodesic
Geometry of Regular Heptagons
Journal for geometry and graphics, Tome 9 (2005) no. 2, pp. 119-132 Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

This paper explores some new geometric properties of regular heptagons. We add to the list of results from the Bankoff-Garfunkel famous paper on regular heptagons 30 years ago enlisting the help from computers. Our idea is to look at the central points (like incenters, centroids, circumcenters and orthocenters) of certain triangles in the regular heptagon to find new related regular heptagons which have simple constructions with ruler and compass from the original heptagon. In the proofs we use complex numbers and the software Maple V. The eleven figures are made with the Geometer's Sketchpad.
Classification : 51N20, 51M04, 14A25, 14Q05
Mots-clés : Regular heptagon, heptagonal triangle 
@article{JGG_2005_9_2_JGG_2005_9_2_a0,
     author = {Z. Cerin },
     title = {Geometry of {Regular} {Heptagons}},
     journal = {Journal for geometry and graphics},
     pages = {119--132},
     year = {2005},
     volume = {9},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JGG_2005_9_2_JGG_2005_9_2_a0/}
}
TY  - JOUR
AU  - Z. Cerin 
TI  - Geometry of Regular Heptagons
JO  - Journal for geometry and graphics
PY  - 2005
SP  - 119
EP  - 132
VL  - 9
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JGG_2005_9_2_JGG_2005_9_2_a0/
ID  - JGG_2005_9_2_JGG_2005_9_2_a0
ER  - 
%0 Journal Article
%A Z. Cerin 
%T Geometry of Regular Heptagons
%J Journal for geometry and graphics
%D 2005
%P 119-132
%V 9
%N 2
%U http://geodesic.mathdoc.fr/item/JGG_2005_9_2_JGG_2005_9_2_a0/
%F JGG_2005_9_2_JGG_2005_9_2_a0
Z. Cerin . Geometry of Regular Heptagons. Journal for geometry and graphics, Tome 9 (2005) no. 2, pp. 119-132. http://geodesic.mathdoc.fr/item/JGG_2005_9_2_JGG_2005_9_2_a0/