Displaying similar documents to “The local theorem for monotypic tilings.”

On the refinements of a polyhedral subdivision.

Francisco Santos (2001)

Collectanea Mathematica


Let pi: P --> Q be an affine projection map between two polytopes P and Q. Billera and Sturmfels introduced in 1992 the concept of polyhedral subdivisions of Q induced by pi (or pi-induced) and the fiber polytope of the projection: a polytope Sygma(P,pi) of dimension dim(P)-dim(Q) whose faces are in correspondence with the coherent pi-induced subdivisions (or pi-coherent subdivisions). In this paper we investigate the structure of the poset of pi-induced refinements of a pi-induced...

Sections of simplices.

Prabhu, Nagabhushana (1999)

International Journal of Mathematics and Mathematical Sciences