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Overview"Symmetry groups are of intense interest to mathematicians, physicists, chemists, and designers, as well as to the ""philomorphs"" who are attracted to the ideas of Design Science. The author of this book has beautifully illustrated active symmetry through the observation of the orbit of a plain cube as it creates an arrangement of cube replicas with overall symmetry under such a specific group. For the general reader, the beauty and utility of the resulting pictures is evident. The mathematician, scientific investigator or student will further welcome a full description of all finite symmetry groups with relevant drawings, calculations, and data. In the detailed study of the cube's orbits, a complete enumeration of cube compounds is introduced and illustrated by photographs, patterns, and constructable models. This group theoretical approach demonstrates a step forward in the long attempt at full classification of polyhedral compounds, whose history is treated in a special chapter in the book. The method includes construction of single polyhedra and allows a logical creation of their compounds never before published. A more complete understanding of symmetry is thus granted. The book will appeal to a wide range of researchers and students, even at the undergraduate level, in geometry, crystallography, structural chemistry, engineering, architecture and the developing discipline of Design Science." Full Product DetailsAuthor: Hugo F. VerheyenPublisher: Birkhauser Boston Inc Imprint: Birkhauser Boston Inc Edition: 1996 ed. Dimensions: Width: 21.00cm , Height: 1.50cm , Length: 29.70cm Weight: 0.650kg ISBN: 9780817636616ISBN 10: 0817636617 Pages: 236 Publication Date: 26 January 1996 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsI Realization of Symmetry Groups.- 1 Groups of Isometries.- 2 Symmetry Action.- 3 Orbit Systems.- II Compounds of Cubes.- 4 Classification of the Finite Compounds of Cubes.- 5 Stability of Subcompounds.- 6 Higher Descriptives.- 7 Assembling Models.- Appendix: Historical Survey.- References.- Illustratory Contributions.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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