Abstract. We show that there exist k-neighborly centrally symmetric ddimensional polytopes with 2(n + d) vertices, where k(d, n) = ,, d 1 + log((d + n)/d)
A new type of Authoring System for 3DCG animation is developed in which a user can easily manipulate three dimensional objects in three dimensional simulated space on the computer...
It is proved that a triangulation of a polyhedron can always be transformed into any other triangulation of the polyhedron using only elementary moves. One consequence is that an ...
We show, with an elementary proof, that the number of halving simplices in a set of n points in R4 in general position is O(n4-2/45). This improves the previous bound of O(n4-1/13...