Chapter 7: A Vector Representation for Polyhedra

Abstract

This paper presents a vector representation for polyhedra. Unlike coordinate representations, vector representations do not require fixing the polyhedra in a coordinate space to derive various properties or carry out various processes. The paper shows how the representation of primitive polyhedra can be used in a cellular construction of complex polyhedra through the gluing of counteractive faces. Counteractive faces are faces which have equal but opposite vector loops.