Geodesic
On rainbowness of semiregular polyhedra
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 359-380.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We introduce the rainbowness of a polyhedron as the minimum number $k$ such that any colouring of vertices of the polyhedron using at least $k$ colours involves a face all vertices of which have different colours. We determine the rainbowness of Platonic solids, prisms, antiprisms and ten Archimedean solids. For the remaining three Archimedean solids this parameter is estimated.
Classification : 05C15, 51M20, 52B05
Keywords: rainbowness; Platonic solids; prisms; antiprisms; Archimedean solids 
@article{CMJ_2008__58_2_a4,
     author = {Jendro\v{l}, Stanislav and Schr\"otter, \v{S}tefan},
     title = {On rainbowness of semiregular polyhedra},
     journal = {Czechoslovak Mathematical Journal},
     pages = {359--380},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {2008},
     mrnumber = {2411095},
     zbl = {1174.51010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2008__58_2_a4/}
}
TY  - JOUR
AU  - Jendroľ, Stanislav
AU  - Schrötter, Štefan
TI  - On rainbowness of semiregular polyhedra
JO  - Czechoslovak Mathematical Journal
PY  - 2008
SP  - 359
EP  - 380
VL  - 58
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2008__58_2_a4/
LA  - en
ID  - CMJ_2008__58_2_a4
ER  - 
%0 Journal Article
%A Jendroľ, Stanislav
%A Schrötter, Štefan
%T On rainbowness of semiregular polyhedra
%J Czechoslovak Mathematical Journal
%D 2008
%P 359-380
%V 58
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2008__58_2_a4/
%G en
%F CMJ_2008__58_2_a4
Jendroľ, Stanislav; Schrötter, Štefan. On rainbowness of semiregular polyhedra. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 359-380. http://geodesic.mathdoc.fr/item/CMJ_2008__58_2_a4/