Geodesic
Triangular Dissections of N-Gons
Canadian mathematical bulletin, Tome 6 (1963) no. 2, pp. 175-178

Voir la notice de l'article provenant de la source Cambridge

DOI

Let f(n) denote the number of dissections of a regular n-gon into n-2 triangles by n-3 non-intersecting diagonals. It is known that and that 1 for n = 3, 4, . . . , where f(2) = 1 by definition. (For pertinent references on this and related problems see, e. g. , Motzkin [2].) The object of this note is to obtain a simple expression for g(n) , the number of such dissections remaining when those which differ only by a rotation, reflection, or both are not considered as being different. For convenience we shall let g(2) = 1 and f(k) = 0 when k is not an integer. 
Moon, J. W.; Moser, L. Triangular Dissections of N-Gons. Canadian mathematical bulletin, Tome 6 (1963) no. 2, pp. 175-178. doi: 10.4153/CMB-1963-017-0
@article{10_4153_CMB_1963_017_0,
     author = {Moon, J. W. and Moser, L.},
     title = {Triangular {Dissections} of {N-Gons}},
     journal = {Canadian mathematical bulletin},
     pages = {175--178},
     year = {1963},
     volume = {6},
     number = {2},
     doi = {10.4153/CMB-1963-017-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1963-017-0/}
}
TY  - JOUR
AU  - Moon, J. W.
AU  - Moser, L.
TI  - Triangular Dissections of N-Gons
JO  - Canadian mathematical bulletin
PY  - 1963
SP  - 175
EP  - 178
VL  - 6
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1963-017-0/
DO  - 10.4153/CMB-1963-017-0
ID  - 10_4153_CMB_1963_017_0
ER  - 
%0 Journal Article
%A Moon, J. W.
%A Moser, L.
%T Triangular Dissections of N-Gons
%J Canadian mathematical bulletin
%D 1963
%P 175-178
%V 6
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1963-017-0/
%R 10.4153/CMB-1963-017-0
%F 10_4153_CMB_1963_017_0

Cité par Sources :