Product Description: Along with many small improvements, this revised edition contains van Yzeren's new proof of Pascal's theorem (§1.7) and, in Chapter 2, an improved treatment of order and sense. The Sylvester-Gallai theorem, instead of being introduced as a curiosity, is now used as an essential step in the theory of harmonic separation (§3...read more

Product Description: Introduction Regular tessellations Finite groups of rotations Groups generated by two or three reflections The Petrie polygon of a tessellation The regular tesselations $\{p,q\}_r$ Three-dimensional honeycombs The simplex, cube, cross polytope and 24-cell The 120-cell and the 600-cell Groups generated by four reflections The Petrie polygon of a honeycomb The regular honeycombs $\{p,q,r\}_t$ Finite groups of quaternions Quaternions and Petrie polygons Table 1...read more

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Product Description: For this new edition, the plans and illustrations of all 59 icosahedra have been redrawn and there is a new introduction by Professor Coxeter. For an understanding of the process of stellation, this book should be a useful addition to any mathematics library.

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Product Description: Along with many small improvements, this revised edition contains van Yzeren's new proof of Pascal's theorem (§1.7) and, in Chapter 2, an improved treatment of order and sense. The Sylvester-Gallai theorem, instead of being introduced as a curiosity, is now used as an essential step in the theory of harmonic separation (§3...read more

Product Description: Along with many small improvements, this revised edition contains van Yzeren's new proof of Pascal's theorem (§1.7) and, in Chapter 2, an improved treatment of order and sense. The Sylvester-Gallai theorem, instead of being introduced as a curiosity, is now used as an essential step in the theory of harmonic separation (§3...read more

Product Description: The properties of regular solids exercise a fascination which often appeals strongly to the mathematically inclined, whether they are professionals, students or amateurs. In this classic book Professor Coxeter explores these properties in easy stages, introducing the reader to complex polyhedra (a beautiful generalization of regular solids derived from complex numbers) and unexpected relationships with concepts from various branches of mathematics: magic squares, frieze patterns, kaleidoscopes, Cayley diagrams, Clifford surfaces, crystallographic and non-crystallographic groups, kinematics, spherical trigonometry, and algebraic geometry...read more (view table of contents, read Amazon.com's description)

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Product Description: The work of Dutch artist Maurits Cornelis Escher (1898-1972) continues to attract wide interest. Mathematicians, physicists, crystallographers, chemists, biologists, psychologists, psychiatrists, art historians, and specialists in computer graphics and visual communications attended this congress...read more

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A text which surveys real projective geometry, the elliptic metric, and supplies applicable definitions and theorems