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	Net (polyhedron) - Wikipedia, the free encyclopedia
		In geometry the net of a polyhedron is an arrangement of edge-joined polygons in the plane which can be folded to become the faces of the polyhedron.
		Polyhedral nets are a useful aid to the study of polyhedra and solid geometry in general, as they allow for models of polyhedra to be constructed from material such as thin cardboard.
		For example, a net of a polychoron, or four-dimensional polytope, is composed of polyhedral cells that are connected by their faces and all occupy the same three-dimensional space, just as the polygon faces of a net of a polyhedron are connected by their edges and all occupy the same plane.
	en.wikipedia.org /wiki/Net_(polyhedron) (314 words)

	Net - Biocrawler (Site not responding. Last check: 2007-11-06)
		A device made by fibers woven in a grid-like structure, as in fishing net, a soccer goal, a butterfly net, or the court divider in tennis;
		In solid geometry, the net of a polyhedron, which is a 2-dimensional arrangement of polygons from which a polyhedron can be folded;
		A term meaning "after deductions", as opposed to gross, or in phrases such as net metering, net flux, and Net 30; and
	www.biocrawler.com /encyclopedia/Net (288 words)

	Net -- from Wolfram MathWorld
		It refers to a plane diagram in which the polyhedron edges of a polyhedron are shown, a point set satisfying certain uniformity of distribution conditions, and a topological generalization of a sequence.
		The net of a polyhedron must in general also specify which edges are to be joined since there might be ambiguity as to which of several possible polyhedra a net might fold into.
		Nets are used in the study of the Riemann integral.
	mathworld.wolfram.com /Net.html (633 words)

	cars - Net
		A device made by fibers woven in a grid-like structure, like fishing net, the goal in soccer and the court divider in tennis.
		In mathematics, "net" is a concept in topology that generalizes sequences and allows unification of various notions of limit.
		In solid geometry, the net of a polyhedron is a 2-dimensional arrangement of polygons from which a polyhedron can be folded.
	www.carluvers.com /cars/Net (156 words)

	Polyhedrons (Site not responding. Last check: 2007-11-06)
		When a polyhedron is in geometry, it is simply a three dimensional solid which consists of a collection of polygons, and are usually joined at their edges.
		A polyhedron is the three-dimensional version of the more general polytope{in the geometry sense} which could be defined in arbitrary dimension.
		The plural of polyhedron is "polyhedra", or sometimes "polyhedrons".
	www.promotega.org /uga05005/trans_geometry_polyhedron.html (212 words)

	JIME: Education Through Computer-Enriched Handicrafts: HyperGami as a Medium for Craft
		Perhaps the central problem in decorating a polyhedron's folding net -- and a problem that students run into almost immediately in their work -- is the task of imagining what a particular decoration, in its "flat" form, will look like when the folding net is finally assembled into a three-dimensional solid.
		The first allows the user to draw with the mouse on the folding net; as she does so, the system simultaneously presents a line in the appropriate position on the visible 3D solid on the screen.
		Figure 5 shows this feature in operation: the user is drawing a line on the folding net of the octahedron, and the system is displaying not only that line but also the line that would appear if the folding net were to be assembled into a 3D solid.
	www-jime.open.ac.uk /98/8/eisenberg-98-8-04.html (609 words)

	About net cash
		A fiction film The Net, a sort of horror movie about the Internet, was produced in the mid 1990s.
		- In mathematics, "net" is a concept in topology that generalizes sequences and allows unification of various notions of limit.
		- In solid geometry, the net of a polyhedron is a 2-dimensional arrangement of polygons from which a polyhedron can be folded.
	www.money-make.net /net-cash.htm (195 words)

	Polyhedron (Site not responding. Last check: 2007-11-06)
		Polyhedron is an MS DOS application based on a practical approach to solid geometry.
		Polyhedron simulates a number of tools, such as ruler, protractor, setsquare, compass, bisector, saw, eraser, all accessible from a menu bar.
		Polyhedron was built on the carpenter workshop philosophy.
	www.geocentral.net /polyhedron (116 words)

	Net - Encyclopedia, History, Geography and Biography
		A net, in its primary meaning, comprises fibers woven in a grid-like structure, as in fishing nets, butterfly nets, cricket nets, or nets used in sporting goals in games such as soccer, basketball and ice hockey.
		Most of the other meanings of the term are by analogy with the use above.
		Net, Computing and communication, Mathematics, Business and finance and Other meanings.
	www.arikah.net /encyclopedia/Net (117 words)

	Nuts About Nets!
		The net concept generalizes readily to convex polytopes of n dimensions, for n greater than or equal to 2: the net of a convex n-dimensional polytope is simply an assemblage of (n–1)-dimensional polytopes in (n–1)-dimensional space connected along some of their facets.
		In the “netting trade,” we call this kind of net a “modular tower net with spiral staircase.” It is made of ten identical modules of twelve dodecahedra joined into a “tower.” This arrangement forces one set of ten dodecahedra (colored white) to spiral helically around the tower formed by the other 110.
		A Johnson polyhedron, named after Norman W. Johnson, who originally proposed and solved the problem of finding and enumerating them, is a convex polyhedron whose faces are all regular polygons but which is not a uniform polyhedron.
	members.aol.com /Polycell/nets.html (7273 words)

	Euler's Formula
		To form a planar graph from a polyhedron, place a light source near one face of the polyhedron, and a plane on the other side.
		The shadows of the polyhedron edges form a planar graph, embedded in such a way that the edges are straight line segments.
		The faces of the polyhedron correspond to convex polygons that are faces of the embedding.
	www.ics.uci.edu /~eppstein/junkyard/euler (615 words)

	Math Forum: Alejandre: Buckyball Net (Site not responding. Last check: 2007-11-06)
		The materials are distributed and each group member prints their name on the face of the different polyhedron net.
		Each group member is to cut out the polyhedron from the net, fold, and tape.
		The Math Forum is a research and educational enterprise of the Drexel School of Education.
	mathforum.org /alejandre/workshops/buckynet.html (198 words)

	[No title]
		A rotation matrix is applied to the polyhedron object, new screen coordinates are calculated, and the solid object is redisplayed.
		It closes each polyhedron by creating an additional new face consisting of edge-intersection points and vertices which coincide with the splitting plane, taking care to order and orient the new face in a manner consistent with the rest of the polyhedron.
		Given a 3-dimensional polyhedron object, the algorithm produces a 2-dimensional folding net object.
	www.cs.colorado.edu /~eisenbea/thesis/status/jan99.html (1324 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		A regular polyhedron is a polyhedron in which all faces are the same regular polygon, and for which the configurations at each vertex are the same.
		A "semi-regular" polyhedron allows two different regular polygons as faces, still with the condition that there be only one vertex configurations.
		A regular polyhedron is a > polyhedron in which all faces are the same regular polygon, and for > which the configurations at each vertex are the same.
	www.math.niu.edu /~rusin/known-math/99/soccer (877 words)

	Polyhedron, Polyhedra, Polytopes - Numericana
		The dual of a polyhedron is the polyhedron obtained by switching the roles of vertices and faces: Edges of the dual connects nodes associated with adjacent faces of the original polyhedron (dual polyhedroa have the same number of edges).
		The most "generic" way is to use for polyhedra the same naming scheme as for polygons, by counting the number or their faces: Thus, a tetrahedron has 4 faces, a pentahedron has 5, a dotriacontahedron (also called triacontakaidihedron) has 32 faces.
		In such families, the polyhedron is named using the adjective corresponding to the name of the polygon it's built on (e.g., "hexagonal").
	home.att.net /~numericana/answer/polyhedra.htm (5386 words)

	Dodecahedron Day: Nets for Models (Site not responding. Last check: 2007-11-06)
		Download the net for the compound of five tetrahedra.
		This 4-frequency model is a Class II icosahedron, meaning that the goedesic arcs are perpendicular to (rather than parallel to) the edges of the parent icosahedron.
		Download the nets for the 4-frequency Class II geodesic icosahedron.
	websites.quincy.edu /~matskvi/ddd/nets.html (792 words)

	Test prostorske predstavljivosti (Site not responding. Last check: 2007-11-06)
		The exercise is to find the path from green to red spot on a given random net of selected polyhedron.
		The available move is to proceed from current face (designated by green at start and later by fl point) to adjacent face on polyhedron.
		You coud choose a polyhedon by pressing "New polyhedron", different net and different start position are possible as well.
	torina.fe.uni-lj.si /~tomo/labirint/NavodAng.html (186 words)

	Solid shapes and their nets (Site not responding. Last check: 2007-11-06)
		There are 43380 distinct nets for the dodecahedron, the same number as for the icosahedron.
		A dodecahedron is the only regular polygon which uses pentagons, and there are no polyhedrons which use only hexagons, although a buckyball uses both hexagons and pentagons.
		It is not a regular polyhedron, since it uses a square as well as triangles.
	gwydir.demon.co.uk /jo/solid (2978 words)

	Unfolding -- from Wolfram MathWorld
		An unfolding is the cutting along edges and flattening out of a polyhedron to form a net.
		Furthermore, for a polyhedron with no coplanar faces, at least one edge cut must be made from each vertex or else the polyhedron will not flatten.
		Examples of different polyhedra that can be constructed from the same net are not difficult to construct, but Fukuda conjectured that every convex polyhedron can be uniquely constructed from any of its unfoldings.
	mathworld.wolfram.com /Unfolding.html (533 words)

	JIME: Education Through Computer-Enriched Handicrafts:
		When one of the icons in this Net Decorations window is selected, an illustrative Scheme expression is presented in the transcript window; by evaluating this expression, the user is able to decorate faces of the folding net in the manner depicted by the selected icon.
		The resulting net is shown at right in Figure 8, and is much closer to the sort of net that a typical crafter would want to work with.
		This technique (which we have dubbed "net twiddling") allows the user to "slide" faces from one location on the net to another, as long as the face is connected to the rest of the net by only one edge.
	www-jime.open.ac.uk /98/8/eisenberg-98-8-paper.html (9069 words)

	Polyhedron #2
		The polyhedron you made in #4 is an example of one.
		Based on the class discussion about the above polyhedra, write a new definition of a regular polyhedron.
		If pentagons are used to make a regular polyhedron, how many must meet at each vertex?
	home.snu.edu /~lturner/MC-GeoTop/Polyhedron2.htm (114 words)

	Bill Gates Net (Site not responding. Last check: 2007-11-06)
		In computing, the word net is sometimes used to mean trappingdevice or network.
		A fiction film The Net, a sort of horror movie about the Internet, wasproduced in the mid 1990s.
		In solid geometry, the net of a polyhedron is a2-dimensional arrangement of polygons from which a polyhedron can be folded.
	www.vermontreview.com /edge/38992-bill%20gates%20net.html (298 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.
		Companion Nets of the remaining 4 Platonic solids have edges the same length as those of the dodecahedron calendar.
		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 (5740 words)

	Jedi Council Forums - "Official" Dungeon Magazine Star Wars Thread.
		Polyhedron will now start printing such articles as part of its regular suite of offerings, which include a new d20 System Mini-Games, d20 system adventures, news, maps, and rules expansions.
		Polyhedron appears monthly as part of the award-winning Dungeon Magazine, which is available on newsstands and gaming stores.
		Because we don't have a regular schedule for Star Wars content in Polyhedron, that would be tricky.
	boards.theforce.net /Literature/b10003/10140498/p3 (1207 words)

	Net - The real meaning from Timesharetalk wikipedia
		Net - The real meaning from Timesharetalk wikipedia
		Look up net in Wiktionary, the free dictionary.
		This disambiguation page lists articles associated with the same title.
	www.timesharetalk.co.uk /wiki.asp?k=Net (148 words)

	decomposing a polyhedron into tetrahedra - GameDev.Net Discussion Forums
		Is there any method to break up any given polyhedron into a set of tetrahedra ?
		2.) remove point p from your polyhedron set.
		The idea of decomposing into tetrahedra is the extension to 3D of the concept of triangulation of a polygon in 2D.
	www.gamedev.net /community/forums/topic.asp?topic_id=418995 (243 words)

	Net Editor (Site not responding. Last check: 2007-11-06)
		1) " Net" -- In the context of Net Editor
		A device made by fibers woven in a grid -like structure, like fishing net, the goal in soccer and the court divider in tennis.
		In mathematics, "net" is a concept in topology that generalizes sequences and allows unification ofvarious notions of limit.
	www.lottery-news.net /dust868-net_editor.html (459 words)

	Mathematics - Geometry Spring
		The learner will be able to apply symmetry, tessellations, and transformations of polygons.
		The learner will be able to explain the polyhedron that can be created from a given net.
		The learner will be able to explain the net for a given polyhedron.
	www.plainfield.k12.in.us /Curriculum/cdmath/CR15538.HTM (796 words)

	Map Projections: Polyhedral Maps (Site not responding. Last check: 2007-11-06)
		inscribe the sphere in a polyhedron, then separately project regions of the sphere onto each polyhedral face
		optionally, cut and disassemble the polyhedron into a flat map, called a "net" or fold-out
		Intuitively, distortion in polyhedral maps is greater near vertices and edges, where the polyedron is farther from the inscribed sphere; also, increasing the number of faces is likely to reduce distortion (after all, a sphere is equivalent to a polyhedron with infinitely many faces).
	www.progonos.com /furuti/MapProj/Normal/ProjPoly/projPoly.html (1204 words)

	TheCapitol.Net > pop up calendars
		These calendars ship flat in a square envelope.
		When the calendar is removed from the envelope, it "pops up" into a 14-sided polyhedron, approximately 3-1/2 inches tall.
		While supply lasts, these pop up calendars are free to registrants at our public conferences in 2001.
	www.thecapitol.net /Store/popup2001.html (86 words)

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