The relations in his namesake groups set products of two of the generators r sub i and r sub
A set of structures named for this mathematician is invariant under a glide reflection with respect to the horizontal median line of the pattern and are known as his friezes. The off-diagonal elements of the symmetric matrices named for this mathematician are integers greater than one, whereas their diagonal elements are all equal to one. Those matrices can be used to construct diagrams co-named for this man and Dynkin which can be used to visualize his namesake groups. The relations in his namesake groups set products of two of the generators r sub i and r sub j raised to the m sub i comma j power equal to one and are used to describe (*) kaleidoscopic objects. This author's work with geometry served as a major inspiration for the works of Buckminster Fuller and M.C. Escher. For 10 points, name this British geometer who was noted for his work on higher-dimensional geometries and polytopes.
A set of structures named for this mathematician is invariant under a glide reflection with respect to the horizontal median line of the pattern and are known as his friezes.
Harold Scott MacDonald Coxeter 