First, a lesson in architecture. A frieze is a horizontal band of decoration around a building. These are some friezes from buildings in Ancient Persepolis. Note how they feature symmetrical,… Expand

1-3. Polytopes with restricted dihedral angles 590 4-7. Fundamental regions 594 8. The abstract definition 599 9. Complete enumeration of the irreducible groups 601 10-13. Continued products of the… Expand

Frontispiece Preface to the second edition Preface to the first edition 1. Regular polygons 2. Regular polyhedra 3. Polyhedral kaleidoscopes 4. Real four-space and the unitary plane 5. Frieze… Expand

An important problem in finite-group theory is the determination of an abstract definition for a given group , that is, a set of relations between k generating operations S 1 , …., S k of , such that… Expand

made a study of honeycombs whose cells are equal regular polytopes in spaces of positive, zero, and negative curvature. The spherical and Euclidean honeycombs had already been described by Schlaf li… Expand