Kaleidoscopes, Polyhedra, Polyhedral Transformations and Interactive Real Time Computer Graphics

摘要

We represent several symmetry related mathematical topics based on original research: plane, spherical, hyperbolical, polyhedral kaleidoscopes, kaleidoscopical polyhedra families, iso-gonal and isohedral polyhedra. As a result of increased power of modem computer graphics these subjects became very easy accessible for research. Visualization of the result produces a lot of unusual and aesthetically very beautiful mathematical models. Interactive real time 3D models are available on the World Wide Web from author's web site.