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 patterns; 6. The geometry of quaternions; 7. The binary polyhedral groups; 8. Unitary space; 9. The unitary plane, using quaternions; 10. The complete enumeration of finite reflection groups in the unitary plane; 11. Regular complex polygons and Cayley diagrams; 12. Regular complex polytopes defined and described; 13. The regular complex polytopes and their symmetry groups; Tables; Reference; Index; Answers to exercises.
..".of major interest to geometers, but the ordinary (perhaps even nonmathematical) reader will derive pleasure from the many beautiful pictures which it also includes." P. McMullen, Mathematical Reviews
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