New equiprojective polyhedra from tetrahedron and some generalized Johnson solids

Abstract

A polyhedron is called equiprojective, if from any direction the size of the projection boundary is fixed, where the size means the nurnber of vertices or edges. In this thesis, construction of equiprojeetive polyhedra limn some existing polyhedra is studied. We find some new equiprojeetive polyhedra and prove their equiprojectivity. We also implement the newly constructed equiprojective polyhedra in VR.ML and in Mathematiea. For construction of equiprojective polyhedra we apply cutting mechanism on some selected polyhedra such as tetrahedron and some generalized Johnson solids.