Polyverse

A 52-illustration, notes and references book exploring the geometry of H. Coxeter surfaces. Coxeter was instrumental in many discoveries in the field of geometry and computer sciences. He opened the door to the 4th dimension to all studying higher spaces. Exploring these groups has some practical applications in mineralogy, architecture, linear programming, and other areas; mostly, people enjoy contemplating the figures because of their symmetrical shapes and aesthetic appeal. For artists, it is a limitless trove of inspiration. This illustrated book results from some of the most striking Coxeter examples of geometry in higher dimensions.