03051nam a22003017a 4500 20220408104310.0 220408b |||||||| |||| 00| 0 eng d 9780486614809 :Technical Bureau India Pvt. Ltd. :E/261, Shastri Nagar Delhi :TB5906 :31/03/2022 513.8 COX Coxeter, H. S. M Regular Polytopes / H S M Coxeter New York : Dover Publications, ©1973 xiii, 321p 22 cm 1493 Dover books on intermediate and advanced mathematics Polygons and polyhedra -- Regular and quasi-regular solids -- Rotation groups -- Tessellations and honeycombs -- Kaleidoscope -- Star-polyhedra -- Ordinary polytopes in higher space -- Truncation -- Poincare's proof of euler's formula -- Forms, vectors, and coordinates -- Generalized kaleidoscope -- Generalized petrie polygon -- Sections and projections -- Star-polytopes. Polytopes are geometrical figures bounded by portions of lines, planes, or hyperplanes. In plane (two dimensional) geometry, they are known as polygons and comprise such figures as triangles, squares, pentagons, etc. In solid (three dimensional) geometry they are known as polyhedra and include such figures as tetrahedra (a type of pyramid), cubes, icosahedra, and many more; the possibilities, in fact, are infinite! H.S.M. Coxeter's book is the foremost book available on regular polyhedra, incorporating not only the ancient Greek work on the subject, but also the vast amount of information that has been accumulated on them since, especially in the last hundred years. The author, professor of Mathematics, University of Toronto, has contributed much valuable work himself on polytopes and is a well-known authority on them. Professor Coxeter begins with the fundamental concepts of plane and solid geometry and then moves on to multi-dimensionality. Among the many subjects covered are Euler's formula, rotation groups, star-polyhedra, truncation, forms, vectors, coordinates, kaleidoscopes, Petrie polygons, sections and projections, and star-polytopes. Each chapter ends with a historical summary showing when and how the information contained therein was discovered. Numerous figures and examples and the author's lucid explanations also help to make the text readily comprehensible. Although the study of polytopes does have some practical applications to mineralogy, architecture, linear programming, and other areas, most people enjoy contemplating these figures simply because their symmetrical shapes have an aesthetic appeal. But whatever the reasons, anyone with an elementary knowledge of geometry and trigonometry will find this one of the best source books available on this fascinating study Mathematics Arithmetic Polytopes. Polytop Geometria. Polyhedra. Geometria elementar. Coxeter, H. S. M BOOK 59086 59086 0 0 ddc 0 1 MDL MDL 2022-04-08 Technical Bureau India Pvt. Ltd. 1493.00 513.8 COX M360 2022-04-08 00:00:00 2022-04-08 MDL FPDA Grant