Regular polytopes / H.S.M. Coxeter.

Edition
  • Third edition.
Published
  • New York : Dover Publications 1973
Physical description
xiii, 321 pages : illustrations ; 22 cm
ISBN
  • 0486614808
  • 9780486614809
Notes
  • Originally published: Macmillan, 1963.
  • Includes bibliographical references (pages 306-314).
Contents
  • 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.
Related item
  • http://catdir.loc.gov/catdir/description/dover032/73084364.html
  • http://catdir.loc.gov/catdir/enhancements/fy1401/73084364-b.html
  • http://www.loc.gov/catdir/description/dover032/73084364.html
  • https://bac-lac.on.worldcat.org/oclc/422715817
Genre
  • Bibliography
  • Illustrated
  • text
Language
  • English
Related Internet Resources

Summary

  • 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.

Summary holdings does not include live availability details. Select a library name for the full Holdings display.

Location of copy Shelfmark Online location Holdings Notes
University of Birmingham Libraries: Main Library, Collection QA691 .C68
University of Bristol Libraries Table of contents Online location
University of Bristol Libraries Table of contents Online location
University of Bristol Libraries Contributor biographical information Online location
University of Bristol Libraries Publisher description Online location
University of Bristol Libraries French equivalent / Équivalent français Online location
University of Bristol Libraries: Queen's Building Library QA691 COX 7 day loan: vacation loan
British Library: Lending Collection 76/33646
British Library Publisher description Online location
University of Cambridge Libraries: Sidney Sussex College: Ground Floor ATY CNN Cox
University of Cambridge Libraries: Moore Library: Main Library QA691 .C69 1973
Cranfield University Libraries: First floor 513 COX
Durham University Library: Bill Bryson Library, Level 3 516.158 COX
Durham University Library: Contact the Bill Bryson Library 516.158 COX
Durham University Library: Contact the Bill Bryson Library 516.158 COX
University of East Anglia Library Publisher description Online location
University of East Anglia Library: Main Library: Main shelves QA691 COX
Imperial College London Library: Central Library: Level 2 514.113 COX
University of Liverpool Library: Harold Cohen Library, Ground Floor Rear (Book Zone 3) QA640.3.C87.3 2
University of Liverpool Library: Harold Cohen Library, Ground Floor Rear (Book Zone 3) QA640.3.C87.3 0
Oxford Brookes University: Wheatley Library, Standard Loan 516 COX
Oxford Brookes University: Wheatley Library, Standard Loan 516 COX
University of Oxford Libraries: Mathematical Institute Library 50
University of South Wales: Treforest Library: Main Shelves, Week Loan 516.15 COX
University of Strathclyde Library: Standard Loan MLD D 516.23 COX
University of Warwick Library: Maths Institute QA 691.C6
University of York Libraries: University Library: Morrell - Ordinary S 3.8 COX

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