Ebook Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination
Ebook Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination
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Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination
Ebook Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination
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Review
From the reviews:“It consists of a collection of essays by different authors about many different aspects related to polyhedra. … The book is amply illustrated and aiming at a public from 9 till 99. It will be of interest to a very broad public. Form a mathematical side children might be interested in geometrical puzzles and advanced mathematicians may be interested in solving the open problems, and the whole range in between will probably find something interesting of their own taste.†(A. Bultheel, The European Mathematical Society, June, 2013)
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From the Back Cover
Molecules, galaxies, art galleries, sculptures, viruses, crystals, architecture, and more: Shaping Space―Exploring Polyhedra in Nature, Art, and the Geometrical Imagination is an exuberant survey of polyhedra and at the same time a hands-on, mind-boggling introduction to one of the oldest and most fascinating branches of mathematics. Some of the world’s leading geometers present a treasury of ideas, history, and culture to make the beauty of polyhedra accessible to students, teachers, polyhedra hobbyists, and professionals such as architects and designers, painters and sculptors, biologists and chemists, crystallographers, physicists and earth scientists, engineers and model builders, mathematicians and computer scientists. The creative chapters by more than 25 authors explore almost every imaginable side of polyhedra. From the beauty of natural forms to the monumental constructions made by man, there is something to fascinate every reader. The book is dedicated to the memory of the legendary geometer H. S. M. Coxeter and the multifaceted design scientist Arthur L. Loeb.Contributing Authors: P. Ash, T. F. Banchoff, J. Baracs, E. Bolker, C. Chieh, R. Connelly, H.S.M. Coxeter, H. Crapo, E. Demaine, M. Demaine, G. Fleck, B. Grünbaum, I. Hargittai, M. Hargittai, G. Hart, V. Hart, A. Loeb, J. Malkevitch, B. Monson, J. O'Rourke, J. Pedersen, D. Schattschneider, M. Schmitt, E. Schulte, M. Senechal, G.C. Shephard, I. Streinu, M. Walter, M. Wenninger, W. Whiteley, J. M. Wills, and G. M. Ziegler.
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Product details
Hardcover: 341 pages
Publisher: Springer; 2013 edition (March 22, 2013)
Language: English
ISBN-10: 0387927131
ISBN-13: 978-0387927138
Product Dimensions:
7.2 x 1 x 10.1 inches
Shipping Weight: 1.7 pounds (View shipping rates and policies)
Average Customer Review:
5.0 out of 5 stars
1 customer review
Amazon Best Sellers Rank:
#1,542,591 in Books (See Top 100 in Books)
An excellent introductory summary of polyhedral (polyhedrons) as they are found in nature as well as intellectual abstractions, e.g., the Platonic solids.Mathematics are added as a natural description of what is observed -- the perfect way math should be used as a descriptive language.The book points the way to more detailed studies, ranging from crystal structures in elements (Aluminum, Iron, Manganese, etc.), to architecture.Nice starting point for topology spinning off from Euler's formula: vertices plus faces minus edges = a number; it's 2 for most common polyhedral.
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