Geodesic
On the Existence of Shapes of Roofs
Journal for geometry and graphics, Tome 8 (2004) no. 2, pp. 185-198 Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

Roofs considered in this article are defined as special geometric polyhedral surfaces, on the basis of two assumption: (1) all eaves of a roof form a planar (simply connected or k-connected) polygon called the base of this roof, (2) every hipped roof end forms the same angle slope with the (horizontal) plane which contains the base of this roof. Basing on the Euler formula for regular roofs formulated and proved in a previous paper we formulate properties which enable a study of the shapes of roofs. We indicate how these properties may be used to analyse the shapes of roofs. We suggest a method of classification and a detailed classification of shapes of roofs for polygons with a small number of edges.
Classification : 51N05, 52B05, 05C90, 68U05
Mots-clés : Geometry of roofs, generalized polygon, k-connected generalized polygon, regular graphs, Euler formula for regular roofs, classification of shapes of roofs 
@article{JGG_2004_8_2_JGG_2004_8_2_a5,
     author = {E. Kozniewski },
     title = {On the {Existence} of {Shapes} of {Roofs}},
     journal = {Journal for geometry and graphics},
     pages = {185--198},
     year = {2004},
     volume = {8},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JGG_2004_8_2_JGG_2004_8_2_a5/}
}
TY  - JOUR
AU  - E. Kozniewski 
TI  - On the Existence of Shapes of Roofs
JO  - Journal for geometry and graphics
PY  - 2004
SP  - 185
EP  - 198
VL  - 8
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JGG_2004_8_2_JGG_2004_8_2_a5/
ID  - JGG_2004_8_2_JGG_2004_8_2_a5
ER  - 
%0 Journal Article
%A E. Kozniewski 
%T On the Existence of Shapes of Roofs
%J Journal for geometry and graphics
%D 2004
%P 185-198
%V 8
%N 2
%U http://geodesic.mathdoc.fr/item/JGG_2004_8_2_JGG_2004_8_2_a5/
%F JGG_2004_8_2_JGG_2004_8_2_a5
E. Kozniewski . On the Existence of Shapes of Roofs. Journal for geometry and graphics, Tome 8 (2004) no. 2, pp. 185-198. http://geodesic.mathdoc.fr/item/JGG_2004_8_2_JGG_2004_8_2_a5/