Foremost book available on polytopes, incorporating ancient Greek and most modern work done on them. Beginning with polygons and polyhedrons, the book moves on to multi-dimensional polytopes in a way that anyone with a basic knowledge of geometry and trigonometry can easily understand. Definitions of symbols. Eight tables plus many diagrams and examples. 1963 edition.
What people are saying - Write a review
Definitely the bible of geometry written by the man who popularized geometry which was looked down on by the modern cabal of mathematical luminaries who felt that even a diagram makes a paper unclean. Now geometry is central to physics, cosmology and many other sciences. Regular Polytopes is a must-have reference.
A wonderful book exploring the wonders of all regular polytopes. Covers all dimensions, and deals with convex and star polytopes along with many other important elements.
Regular polytope - Wikipedia, the free encyclopedia
The strong symmetry of the regular polytopes gives them an aesthetic ... Regular polytopes are classified primarily according to their dimensionality. ...
en.wikipedia.org/ wiki/ Regular_polytope
AN EXPERIMENTAL STUDY OF SELECTED REGULAR POLYTOPES IN HYPER-SPACE ...
It is the purpose of this study (1) to observe the mathematical properties of a few selected regular polytopes in hyper-space; (2) to note the existing ...
gossman.org/ daveg/ POLYTOPE.htm
Regular polytopes (Platonic solids) in 4D
Regular polytopes or platonic solids are convex solids (closed) where all the building blocks (vertices, edges, faces, hyperfaces) have the same ...
local.wasp.uwa.edu.au/ ~pbourke/ geometry/ platonic4d/
Regular convex polytopes a short historical overview, Regular ...
In his famous books Regular polytopes, 3d ed. New York, Dover Publications, .... Coxeter, hsm Regular Polytopes, 3rd ed. New York: Dover, 1973. ...
www.presh.com/ hovinga/ regularandsemiregularconvexpolytopesashorthistoricaloverview.html
Locally unitary groups and regular polytopes
Complex groups generated by involutory reflexions arise naturally in the modern theory of abstract regular polytopes. The paper investigates this ...
List of regular polytopes: Information and Much More from Answers.com
List of regular polytopes This page lists the regular polytopes in Euclidean , spherical and hyperbolic spaces.
www.answers.com/ topic/ list-of-regular-polytopes
JSTOR: Regular Polytopes
Regular Polytopes. By hsm COXETER. Pp. xx, 324. 50s. 1948. (Methuen) Those who have read the chapter on Polyhedra in the revised edition of Rouse Ball's ...
Regular, semiregular, regular-faced and Archimedean polytopes
Regular polytopes: the symmetry group of P is transitive on the set of flags of P. Regular-faced d-polytope: the facets are regular polytopes. ...
www.liga.ens.fr/ ~dutour/ Regular/ index.html
Visualization Regular Polytopes in Three and Dimensions
Nontrivial regular polytopes only exist in three and four dimensions. ... Regular polytopes have been the subject of mathematical study for ...
www.blackwell-synergy.com/ doi/ abs/ 10.1111/ 1467-8659.1330305
Regular polytopes , by hsm Coxeter, Methuen, London, 1948; Pitman ...
Regular polytopes, by hsm Coxeter, Methuen, London, 1948; Pitman, New. York, 1949, 20 + 321 pp., $10.00. The study of polytopes (that is, polygons and ...
www.ams.org/ bull/ 2000-37-01/ S0273-0979-99-00839-3/ S0273-0979-99-00839-3.pdf