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The number of convex pentagons and hexagons in an $n$-triangular net
n-triangular net convex pentagon convex hexagon regular hexagon
2011/2/22
In this paper, we obtain the counting formulaes of convex pentagons and convex hexagons, respectively, in an n-triangular net by solving the corresponding recursive formulaes.
Triangulations of nearly convex polygons
triangulation convex set triangulation polynomial
2011/1/20
Counting Euclidean triangulations with vertices in a finite set C of the convex hull Conv(C ) of C is difficult in general, both algorithmically and theoretically. The aim of this paper
is to describ...
On Isosceles Triangles and Related Problems in a Convex Polygon
Isosceles Triangles and Related Problems Convex Polygon
2010/12/15
Given any convex n-gon, in this article, we: (i) prove that its vertices can form at most n2/2 + (n log n) isosceles trianges with two sides of unit length and show that this bound is optimal in the ...