The Fifty Nine Icosahedra

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The Fifty Nine Icosahedra

Author : H. S. M. Coxeter
ISBN : 9781461382164
Genre : Mathematics
File Size : 68.18 MB
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The Fifty-Nine Icosahedra was originally published in 1938 as No. 6 of "University of Toronto Studies (Mathematical Series)". Of the four authors, only Coxeter and myself are still alive, and we two are the authors of the whole text of the book, in which any signs of immaturity may perhaps be regarded leniently on noting that both of us were still in our twenties when it was written. N either of the others was a professional mathematician. Flather died about 1950, and Petrie, tragically, in a road accident in 1972. Petrie's part in the book consisted in the extremely difficult drawings which consti tute the left half of each of the plates (the much simpler ones on the right being mine). A brief biographical note on Petrie will be found on p. 32 of Coxeter's Regular Polytopes (3rd. ed. , Dover, New York, 1973); and it may be added that he was still a schoolboy when he discovered the regular skew polygons that are named after him, and are the occasion for the note on him in Coxeter's book. (Coxeter also was a schoolboy when some of the results for which he will be most remembered were obtained; he and Petrie were schoolboy friends and used to work together on polyhedron and polytope theory. ) Flather's part in the book consisted in making a very beautiful set of miniature models of all the fifty-nine figures. These are still in existence, and in excellent preservation.
Category: Mathematics

Polyhedral Stellation

Author : LLC Books
ISBN : 1156027675
Genre : Mathematics
File Size : 84.11 MB
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Chapters: List of Wenninger polyhedron models, The Fifty Nine Icosahedra, Final stellation of the icosahedron, Small stellated dodecahedron, Compound of five tetrahedra, Great stellated dodecahedron, Great icosahedron, Great dodecahedron, Small triambic icosahedron, Compound of five cubes, Compound of five octahedra, Stellated octahedron, Compound of ten tetrahedra, Compound of great icosahedron and great stellated dodecahedron, Compound of cube and octahedron, Compound of dodecahedron and icosahedron, . Source: Wikipedia. Pages: 62. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: This table contains an indexed list of the Uniform and stellated polyhedra from the book Polyhedron Models, by Magnus Wenninger. The book was written as a guide book to building polyhedra as physical models. It includes templates of face elements for construction and helpful hints in building, and also brief descriptions on the theory behind these shapes. It contains the 75 nonprismatic uniform polyhedra, as well as 44 stellated forms of the convex regular and semiregular polyhedra. This list was written to honor this early polyhedral work from Wenninger, and to provide a detailed reference to the 119 numbered models in his book. Models listed here can be cited as "Wenninger Model Number N," or WN for brevity. The polyhedra are grouped below in 5 tables: Regular (1-5), Semiregular (6-18), regular star polyhedra (20-22,41), Stellations and compounds (19-66), and uniform star polyhedra (67-119). The four regular star polyhedra are listed twice because they belong to both the uniform polyhedra and stellation groupings. M. Wenninger, Polyhedron Models, Errata: known errors in the various editions. ...More: http: //booksllc.net/?id=2915428
Category: Mathematics

Crc Concise Encyclopedia Of Mathematics

Author : Eric W. Weisstein
ISBN : 9781420035223
Genre : Mathematics
File Size : 46.92 MB
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Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Category: Mathematics

The Best Writing On Mathematics 2011

Author : Mircea Pitici
ISBN : 9780691153155
Genre : Mathematics
File Size : 83.82 MB
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This anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2011 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Ian Hacking discusses the salient features that distinguish mathematics from other disciplines of the mind; Doris Schattschneider identifies some of the mathematical inspirations of M. C. Escher's art; Jordan Ellenberg describes compressed sensing, a mathematical field that is reshaping the way people use large sets of data; Erica Klarreich reports on the use of algorithms in the job market for doctors; and much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed physicist and mathematician Freeman Dyson. This book belongs on the shelf of anyone interested in where math has taken us--and where it is headed.
Category: Mathematics

Studies

Author : Harold Scott Macdonald Coxeter
ISBN : 354090770X
Genre : Mathematics
File Size : 62.79 MB
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Category: Mathematics

Regular Polytopes

Author : H. S. M. Coxeter
ISBN : 9780486141589
Genre : Mathematics
File Size : 66.60 MB
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Foremost book available on polytopes, incorporating ancient Greek and most modern work. Discusses polygons, polyhedrons, and multi-dimensional polytopes. Definitions of symbols. Includes 8 tables plus many diagrams and examples. 1963 edition.
Category: Mathematics

Mathematics And Culture V

Author : Michele Emmer
ISBN : UOM:39015079211523
Genre : Mathematics
File Size : 28.25 MB
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This volume of the "Mathematics and Culture" series is dedicated to Italian artist Armando Pizzicato. The work of Pollock is also discussed, thanks to the collaboration of the Venice Guggenheim Collection. Mathematics creates beauty in architecture, from topology to the projects of Gehry and Piano to the muqarnas of Islam. The fourth dimension is made visible in these pages. But mathematics can save lives as well. Mathematical models can fight against cancer and AIDS, prevent their spread and intervene in their cure. Mathematics can also be used to protect the environment. In the wake of the devastation caused by Hurricane Katrina, the discussion of the use of mathematical models in meteorology and the prediction of storms is particularly timely. This volume wouldn't be complete without Venice and its glass, the fantastic collection of murrine of Giovanni Sarpellon. There is even a bit of magic, thanks to Bustric. And finally, an homage to a great mathematician: H.S.M. "Donald" Coxeter.
Category: Mathematics

Recreational Mathematics

Author : William Leonard Schaaf
ISBN : UCAL:B4248658
Genre : Mathematical recreations
File Size : 45.95 MB
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Category: Mathematical recreations

Mathematics Magazine

Author :
ISBN : UCAL:B3977169
Genre : Mathematics
File Size : 77.42 MB
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Category: Mathematics

New Technical Books

Author : New York Public Library
ISBN : UOM:39015036923285
Genre : Engineering
File Size : 60.30 MB
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Category: Engineering