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Topic: List of Wenninger polyhedron models

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	Stella: Polyhedron Navigator
		Models may also be morphed into their duals in real-time on the computer screen, using one of five different techniques.
		When a new model is created (either chosen from the list, or generated using tools such as faceting), and nets are required, the stellation process is performed first, and the appropriate set of cells is automatically selected to reproduce the original model.
		The current polyhedron, its dual, or the current stellation of either can be put into any one of the four memories (except for infinite dual models, or stellations with holes in their faces).
	home.aanet.com.au /robertw/PolyNav/PolyNavigator.html (12506 words)

	Stellation - Wikipedia, the free encyclopedia
		Using a set of rules proposed by J. Miller, there are 58 stellations, including such figures as the triakis icosahedron, the compound of five octahedra, the great icosahedron, the compound of five tetrahedra, and the compound of ten tetrahedra.
		List of Wenninger polyhedron models Includes 44 stellated forms of the octahedron, dodecahedron, icosahedron, and icosidodecahedron, enumerated the 1971 book "Polyhedron Models" by Magnus Wenninger
		Polyhedral compound Includes 5 regular compounds and 4 dual regular compounds.
	en.wikipedia.org /wiki/Stellation (261 words)

	Variations of Uniform Polyhedra (Site not responding. Last check: 2007-11-02)
		It is sometimes the case that by slightly shifting the faces of a uniform polyhedron, it is possible, in some sense, to ``maximize'' the self-intersections of those faces, thereby minimizing the number of individual facets necessary to construct it.
		Model numbers for these polyhedra are: 67, 68, 69, 70, 71, 72, 73, 74, 75, 78, 80, 82, 86, 87, 89, 90, 91, 94, 100, 102, 104, 106, and 107.
		Studying the model should make its construction clear, but be aware that certain parts will meet in the interior of the model, so it would be a good idea to glue them in the interior in order to reinforce the model.
	websites.quincy.edu /~matskvi/univars/uniformvars.html (997 words)

	Dual Models:0521543258:Magnus J. Wenninger:eCampus.com
		In Dual Models, written in the same enthusiastic style as its predecessors Polyhedron Models and Spherical Models, Magnus J. Wenninger presents the complete set of uniform duals of uniform polyhedral, thus rounding out a significant body of knowledge with respect to polyhedral forms.
		Models made by the author are shown in photographs, and these, along with line drawings, diagrams, and commentary, invite readers to undertake the task of making the models, using index cards or tag paper and glue as construction materials.
		The mathematics is deliberately kept at the high school or secondary level, and hence the book presumes at most some knowledge of geometry and ordinary trigonometry and the use of a scientific type small electronic calculator.
	www.ecampus.com /bk_detail.asp?isbn=0521543258 (172 words)

	Polyhedron
		The Platonic Solids and one odd-ball Polyhedron The kinship among the polyhedra is reflected in the...
		Polyhedron Polyhedron, in geometry, a solid bounded by flat surfaces with each surface bounded by straight sides.
		Polyhedron Nets Keith Vetter 2003-03-06 - if you take a 3D solid shape--a polyhedron--and cut along certain edges and lay the whole thing flat the result is called a polyhedron map.
	solidshapes.quitesolid.com /polyhedron (867 words)

	>☞ Buy cheapest Polyhedron Models Polyhedron Models in » Books (Site not responding. Last check: 2007-11-02)
		Models of the day-to-day and semiregular polyhedral solids have enchanted people for centuries.
		With a good general guide to model building and clear instructions, patterns and pictures of the completed model -- the book provides the raw material for a great hobby.
		The completed models are a continuing fascination, the relations between polyhedra and their symmetry can really only be appreciated when you have the models in your hands.
	www.myfinanceaid.com /polyhedron-models,0521098599_i.htm (652 words)

	Stella - Create Polyhedra and Nets! Platonic, Archimedean, Catalan, Kepler-Poinsot, uniform, and dual polyhedra, their ...
		Polyhedron faces may be exploded apart by dragging the mouse with the left button down and the Shift and Ctrl keys pressed.
		Facetings: Any model may be faceted to create new polyhedra (this is the dual process of stellation, see example photos).
		Any alternative names are given for all uniform/dual polyhedra, as well as their reference and page numbers in Wenninger's Polyhedron Models and Dual Models, making this the ultimate reference for the uniform/dual polyhedra.
	home.aanet.com.au /robertw/Stella.html (1178 words)

	Geometry.Net - Basic Math Books: Euclidean Geometry
		Hyperbolic geometry is of crucial importance in physics, particularly in the theory of relativity, and the author begins a discussion of this kind of geometry in chapter 3.
		Hyperbolic n-space is viewed more as dual to elliptic geometry in the sense that it is modeled as a unit sphere of imaginary radius with only the positive sheet of this (disconnected) set retained.
		This is followed in the next chapters by a model of hyperbolic n-space as a conformal ball and an upper half-space, and a consideration of the isometries of hyperbolic space.
	www.geometry.net /basic_math_bk/euclidean_geometry.html (5054 words)

	Abebooks Search Results - Polyhedron Models (Site not responding. Last check: 2007-11-02)
		The colours and shapes often indicate surfaces which are parallel and help to draw attention to other geometrical relationships within the model.
		A collection of paper models to make illustrating a variety of attractive three-dimensional mathematical forms.
		The author describes simply and carefully how to make models of all the known uniform polyhedra and some of the stellated forms.
	textbook.abebooks.co.uk /Title/759095/Polyhedron+Models.html (907 words)

	Books : Polyhedron Models (Site not responding. Last check: 2007-11-02)
		Wenninger's descriptive and precise writing style is invaluable--his advice on construction methods and techniques are right on the mark.
		In nearly all cases, he provides sufficient data to allow the reader to draw his/her own templates, but especially in the most complex polyhedra the facial plane data is lacking, most likely because it is too lengthy to include.
		The explanations for building each model are concise.
	www.homeremodelingtoday.com /books/home-remodeling/0521098599 (246 words)

	Alibris: Models
		With an emphasis on modeling techniques, Jeremy Shapiro's MODELING THE SUPPLY CHAIN is the perfect tool for courses in supply-chain management or for professional managers who seek better analytical tools for managing their supply chains, information technologists who are responsible for developing and/or maintaining such tools, and consultants who...
		Stephen B Bevans's Models of Contextual Theology has become a staple in courses on theological method and as a handbook used by missioners and other Christians concerned with the Christian tradition's understanding of itself in relation to culture.
		Modelers can save money on shop repairs and avoid frustrations by mastering some fundamental repair skills.
	www.alibris.com /search/books/subject/Models/page/10 (821 words)

	Novedge - Book: Polyhedron Models
		Magnus is a fine builder of models and a competent teacher.
		As one begins to understand the underlying principles of these solids, a vast array of options present themselves as topics of further study.
		Search our list of suggested and find the one that is right for you!
	www.novedge.com /Book_Show.asp?ASIN=0521098599 (239 words)

	Investigating Patterns: Polyhedra Pastimes
		Includes an applet that allows you to select each polyhedron based on its number of faces, move it with your mouse, control the speed of rotation or stop it altogether, and view the model in various formats.
		In the Timaeus there is a mathematical construction of the elements (earth, fire, air, and water), in which the cube, tetrahedron, octahedron, and icosahedron are given as the shapes of the atoms of earth, fire, air, and water.
		The fourteen faces of this rubber band activated Pop-Up polyhedron calendar (a tetrakaidecahedron) comprise a pair of parallel and congruent regular hexagons and two rows of congruent isosceles trapezoids.
	britton.disted.camosun.bc.ca /jbpolyhedra.htm (5376 words)

	model * Making Content Comprehensible for English... (Site not responding. Last check: 2007-11-02)
		Modeling and Verification of Parallel Processes 4th Summer School, Movep 2000, Nantes, France, June 1923, 2000 Revised Tutorial.
		Model and Talent Directory International Directory of Model Talent Agencies Schools Model and Talent.
		A Celtic Model of Ministry The Reawakening of Community Spirituality.
	www.jupitermoons.de /jupiuuumodel.html (1587 words)

	References
		Presents the polyhedron which is related to the great rhombicuboctahedron in the same way that the pseudo rhombicuboctahedron is related to the rhombicuboctahedron.
		The first illustrates the relation between a polyhedron and its dual by means of a continuous sequence of intermediate rectangle-connected "transpolyhedra." The latter two present graphic arrangements of various polyhedra to illustrate their relationships (akin to the Periodic Table of the Elements.)
		Illustrated directions for constructing paper models of 119 polyhedra, including all the uniform polyhedra and 19 of the stellations of the icosahedron.
	www.georgehart.com /virtual-polyhedra/references.html (5153 words)

	Amazon.com: Polyhedron Models: Books: Magnus J. Wenninger (Site not responding. Last check: 2007-11-02)
		Models of the regular and semiregular polyhedral solids have fascinated people for centuries.
		If you are being introduced to this topic for the first time, your first question might well be 'What is a polyhedron?' Read the first page
		spiked wedge, enantiomorphous arrangement, dihedral grooves, skew decagon, final stellation, this polyhedron, convex uniform polyhedra, very rigid model, stellation process, stellation patterns, great icosahedron, pentahedral dimples, second stellation, stellated forms, great stellated dodecahedron, polyhedral vertices, faceted stars, stellated icosahedra, stellated octahedron, icosahedral arrangement, great dodecahedron, tongue tabs, small stellated dodecahedron, ten tetrahedra, cement the tabs
	www.amazon.com /exec/obidos/tg/detail/-/0521098599?v=glance (919 words)

	Spherical_Models (Site not responding. Last check: 2007-11-02)
		The organization is set up more to teach you or give you and understanding of spherical polyhedra by building models.
		So it is a little difficult to get answers to specific questions without actually working through building various types of models.
		It's a nice companion to Wenninger's classic, "Polyhedral Models," but possibly is a little redundant.
	www.sammamishmall.com /products/info/048640921X (289 words)

	Spherical Codes
		Arrangements for which no other source is listed are copyright R. Hardin, N. Sloane & W. Smith, 1994-1996.
		Many but not all of these arrangements were constructed with the goal of getting good packings, that is, minimizing the minimal angle between the points (or equivalently maximizing the secant of the minimal angle between the points).
		However, others are good spherical t-designs, or good coverings, etc. At some point I plan to go through this list and annotate it with further information about minimal angle, covering radius, index as a t-design, order of automorphism group, etc.
	www.research.att.com /~njas/packings/index.html (1390 words)

	Great Stella 3.1 УЛБЮБФШ, ЪБЗТХЪЙФШ, download, УЛБЮБК УПЖФ ВЕУРМБФОП
		Great Stella is a computer program which let you create and view polyhedra on the screen, then print out the nets required to build your own models out of paper.
		ћ Any model may be stellated, leading to trillions of new polyhedra.
		ћ Facetings: Any model may be faceted to create new polyhedra (this is the dual process of stellation, see example photos).
	www.webnet.com.ru /13/91/16326-3.html (777 words)

	Magnus Wenninger's Polyhedron Models (Site not responding. Last check: 2007-11-02)
		List of Models in Magnus Wenninger's Polyhedron Models
		Below is a table of the correspondence between the model number's in Magnus Wenninger's Polyhedron Models, a name for the model, and the Schläfli symbol for the model.
		When a part of the Schläfli symbol consists of a fraction on top of another fraction, these two fractions are placed next to each other and separated by a colon.
	websites.quincy.edu /~matskvi/univars/pmlist.html (66 words)

	Polyhedron Origami for Beginners (Origami Classroom) by Miyuki Kawamura, New, Used Books, Cheap Prices, ISBN 4889960856
		With an innovative and exciting approach to origami, POLYHEDRON ORIGAMI FOR BEGINNERS provides simple instructions for recreating the intricate mathematical world of the many-sided solid figure.
		This book is a comprehensive collection of polyhedron origami from tetrahedron to icosahedron.
		Start with simple works such as tiles, bricks, prisms, pyramids, cubes and then follow the advanced courses, which include regular polyhedrons, tetrahedrons, octahedrons, dodecahedrons, and so on.
	www.bookfinder4u.com /detail/4889960856.html (376 words)

	SOAR Winter 2002 Annotated Bibliography
		This page is meant to list books (by author) and web sites (by topic) that students may find helpful or challenging.
		He has also written some nice lecture notes (now a book) that were used in conjunction with Frey and Singmaster for weeks twelve and thirteen.
		finite groups and listing up to order 15 (and counting abelian and non-abelian groups up to order 400).
	www.math.toronto.edu /mathnet/SOAR2002/Winter/HTML/bibliography.html (728 words)

	Amazon.com: Spherical Models: Books: Magnus J. Wenninger (Site not responding. Last check: 2007-11-02)
		Well-illustrated, practical approach to creating star-faced spherical forms that can serve as basic structures for geodesic domes.
		Complete instructions for making models from circular bands of paper with just a ruler and compass.
		Discusses tessellation, or tiling, and how to make spherical models of the semiregular solids and concludes with a discussion of the relationship of polyhedra to geodesic domes and directions for building models of domes.
	www.amazon.com /exec/obidos/tg/detail/-/048640921X?v=glance (655 words)

	Basic Library List-Geometry
		Mathematical Models from the Collections of Universities and Museums, Wiesbaden: Friedr.
		Wenninger, Magnus J. Spherical Models New York, NY: Cambridge University Press, 1979.
		* Wenninger, Magnus J. Polyhedron Models New York, NY: Cambridge University Press, 1971.
	www.maa.org /BLL/geometry.htm (2473 words)

	Uniform Polyhedra
		The list of uniform polyhedra was first published by H.S.M.Coxeter, M.S.Longuet-Higgins and J.C.P.Miller in "Uniform Polyhedra", published in Philosophical Transactions of the Royal Society of London, Series A Volume 246 pp 401-450 (1954).
		More information on the Wythoff symbol and the TOCID notation is linked here, I am indebted to Dr Norman Johnson for providing the linked information.
		"Wenn No." refers to the number of the polyhedron in Magnus Wenninger's "Polyhedron Models", Cambridge University Press, 1971.
	web.ukonline.co.uk /polyhedra/uniform/uniform.html (156 words)

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