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The Uniform Polyhedra

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Visit this site: http://www.mathconsult.ch/showroom/unipoly/

Author:Roman Maeder
Description: A shortened version of the notebook Polyhedra.ma from Illustrated Mathematics [Gloor/Amrhein/Maeder95]. Uniform polyhedra have regular faces and congruent vertices. Allowing for non-convex faces and vertex figures, there are 75 such polyhedra, as well as 2 infinite families of prisms and antiprisms. A recently discovered uniform way of computing their vertex coordinates is the basis for a program to display all of these solids. The metric properties and graphics data were computed with a Mathematica program, available from this site. Graphics include a list and thumbnail pictures of all uniform polyhedra; a visual index (sensitive map) of all 80 polyhedra; a list sorted by Wythoff symbol; and a guided tour.

Levels: Elementary, Middle School (6-8), High School (9-12), College, Research
Languages: English
Resource Types: Graphics, Books, Dictionaries, Glossaries, Thesauri, Mathematica
Math Topics: Polyhedra, Symmetry/Tessellations

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