By H. S. M. Coxeter
The homes of standard solids workout a fascination which frequently appeals strongly to the mathematically prone, whether or not they are execs, scholars or amateurs. during this vintage booklet Professor Coxeter explores those homes in effortless phases, introducing the reader to advanced polyhedra (a appealing generalization of normal solids derived from advanced numbers) and unforeseen relationships with options from quite a few branches of arithmetic: magic squares, frieze styles, kaleidoscopes, Cayley diagrams, Clifford surfaces, crystallographic and non-crystallographic teams, kinematics, round trigonometry, and algebraic geometry. within the latter half the ebook, those initial rules are prepare to explain a typical generalization of the 5 Platonic Solids. This up to date moment variation includes a new bankruptcy on nearly normal Polytopes, with attractive 'abstract paintings' drawings. New workouts and discussions were further during the booklet, together with an advent to Hopf fibration and genuine representations for 2 complicated polyhedra.