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Topic: Disdyakis dodecahedron

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truncated dodecahedron

snub dodecahedron

disdyakis dodecahedron

great stellated dodecahedron

parabiaugmented truncated dodecahedron

metabiaugmented dodecahedron

triaugmented truncated dodecahedron

augmented truncated dodecahedron

augmented dodecahedron

lesser stellated dodecahedron

parabiaugmented dodecahedron

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	Disdyakis dodecahedron -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-09)
		A disdyakis dodecahedron, or hexakis octahedron, is the (additional info and facts about Catalan solid) Catalan solid whose (additional info and facts about Archimedean) Archimedean dual is the (additional info and facts about truncated cuboctahedron) truncated cuboctahedron.
		As such it is face uniform but with irregular face polygons.
		It looks a bit like an inflated (additional info and facts about rhombic dodecahedron) rhombic dodecahedron — if one replaces each face of the rhombic dodecahedron with a single vertex and four triangles in a regular fashion one ends up with a disdyakis dodecahedron.
	www.absoluteastronomy.com /encyclopedia/d/di/disdyakis_dodecahedron.htm (162 words)

	The International Bone Rollers' Guild
		Known as the Rhombic Dodecahedron (at left), this solid has four-sided, equilateral, diamond-shaped rhombuses for faces.
		The Disdyakis Triacontahedron (right) a distant cousin to the Regular Dodecahedron and Icosihedron, is dual to the Truncated Icosidodecahedron.
		It has sixty sides, and is dual to the Snub Dodecahedron.
	members.aol.com /dicetalk/polyh5.htm (282 words)

	Mr. Fusion: September 2002 Archives
		Anyways, the upshot is that while the cuboctahedron forms very nice point cusps, I think the 15 great circles of the icosahedron (5 fold symmetry) form a very interesting magnetic trap.
		The disdyakis triacontahedron, which is the polyhedron formed by the intersections of these great circles, seems to obey the conditions set forth by Bussard for polyhedral point cusp magnetic traps - i.e.
		Part of what I want to experiment with is my notions about using a magnetic confinement system based on the disdyakis triacontahedron.
	mr-fusion.hellblazer.com /2002_09.html (5070 words)

	Mr. Fusion: And so it begins
		I chose the dodecahedron specifically because of all the polyhedra Bussard mentioned, this is the only one with five axis of symmetry.
		One of the things I was concerned about in choosing the dodecahedron as the polyhedron was what the magnetic symmetry would work out.
		I naturally have built a model out of the incredibly useful Zome modeling pieces, and found that there are several interesting configurations to explore.
	mr-fusion.hellblazer.com /000001.html (1965 words)

	Computer Graphics - Available Polyhedrons (Site not responding. Last check: 2007-10-09)
		Disdyakis Dodecahedron (48 triangles; dual of the Great Rhombicuboctahedron; a specific cumulation of the Rhombic Dodecahedron, also related to the Deltoidal Icositetrahedron; also termed, or very similar to, the Hexakis Octahedron)
		Pentakis Dodecahedron (60 triangles; dual of the Truncated Icosahedron; a cumulation of the Dodecahedron and the basis of Buckminster Fuller's Geodesic Dome.
		Note that Platonic Solids (Tetrahedron, Hexahedron (Cube), Octahedron, Dodecahedron and Icosahedron), the Cuboctahedron and the Stella Octangula are not available, as they are either too simple or there are too many examples of coding them already available (or both).
	cs.city.ac.uk /~dcd/ig/week1/pol.htm (508 words)

	Polyhedron, Polyhedra, Polytopes, ... - Numericana
		From the center of a regular octahedron, two vertices are seen separated either by a right angle (90°) or by a flat angle (180°).
		The thirteenth (the chiral snub dodecahedron) was added by Kepler when he reconstructed the full Archimedean classification, in 1619.
		The vertices of Archimedean solids are all equivalent and Kepler observed that this property was also shared by two infinite families of convex polyhedra with regular faces: the prisms and antiprisms.
	home.att.net /~numericana/answer/polyhedra.htm (4643 words)

	Encyclopedia: Diamond
		Diamonds occur most often as euhedral or rounded octahedra and twinned octahedra known as macles.
		As diamond's crystal structure has a cubic arrangement of the atoms, they have many facets that belong to a cube, octahedron, rhombicosidodecahedron, tetrakis hexahedron or disdyakis dodecahedron.
		The Garnet group of minerals show crystals with a habit of rhombic dodecahedrons and trapezohedrons.
	www.nationmaster.com /encyclopedia/diamond (11594 words)

	P214: Computer Graphics 1
		These are the tetrahedron, hexahedron (or cube), octahedron, dodecahedron and icosahedron, literally meaning the 4-, 6-, 8-, 12- and 20-faced respectively.
		Interestingly there is no angle at which these lines can be drawn through these points such that the height of both square and triangular pyramids will put their apexes on the circumsphere of the cuboctahedron.
		For example, there are stellations of the icosahedron, the dodecahedron and the rhombic dodecahedron.
	www.soi.city.ac.uk /~dcd/ig1/week3/l06.htm (1571 words)

	[No title]
		It would be complete if he also included the condition that each vertex should join equal number of faces.
		Actually there are totally eight convex deltahedra; three of which are regular polyhedra (tetrahedron, octahedron, icosahedron, triangular dipyramid, pentagonal dipyramid, tri-augmented triangular prism, gyro-elongated square dipyramid, Siamese dodecahedron).
		Nine of them be obtained by truncation of a Platonic solid, and two further can be obtained by a second truncation.
	www.me.metu.edu.tr /kiper/Polyhedra/Alexandrians_dosyalar/rightside.htm (441 words)

	Disdyakis triacontahedron -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-09)
		Disdyakis triacontahedron -- Facts, Info, and Encyclopedia article
		A disdyakis triacontahedron is the (additional info and facts about Catalan solid) Catalan solid whose (additional info and facts about Archimedean) Archimedean dual is the (additional info and facts about truncated icosidodecahedron) truncated icosidodecahedron.
		It looks a bit like an inflated (additional info and facts about rhombic triacontahedron) rhombic triacontahedron—if one replaces each face of the rhombic triacontahedron with a single vertex and four triangles in a regular fashion one ends up with a disdyakis triacontahedron.
	absoluteastronomy.com /encyclopedia/d/di/disdyakis_triacontahedron.htm (157 words)

	Computer Graphics (Site not responding. Last check: 2007-10-09)
		If for example we need a dodecahedron with unit edge length, work out the length L of dodecahedron side obtained so far, then just scale all vertex vectors by 1/L. Archimedean Solids
		'The' snub cube and 'the' snub dodecahedron are odd ones out, with merely rotational symmetries which are subsets of cubic and icosahedral symmetry respectively.
		Interestingly there is no angle at which these lines can be drawn such that the height of both square and triangular pyramids will put their apexes on the circumsphere of the cuboctahedron.
	www.soi.city.ac.uk /~dcd/ig/week06/l09.htm (1732 words)

	Encyclopedia: Disdyakis triacontahedron
		Spinning disdyakis triacontahedron, made by me using POV-Ray, see image:poly.
		A rhombic dodecahedron In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid.
		Catalan solids A disdyakis dodecahedron is the Catalan solid whose Archimedean dual is the truncated cuboctahedron.
	www.nationmaster.com /encyclopedia/Disdyakis-triacontahedron (304 words)

	100-sided dice
		I believe you mean Pentagonal Deltahedron =(D10) He could have meant the dodecahedron's dual, the icosahedron, as well.
		The only Catalan solids I've seen as dice are the rhombic dodecahedron (rare), the tetrakis hexahedron (new), and the rhombic triacontahedron.
		48: Disdyakis Dodecahedron 60: Triakis Icosahedron, Pentakis Dodecahedron, Deltoidal Hexecontahedron, Pentagonal Hexecontahedron 120: Disdyakis Triacontahedron These name are from a program named Poly that I purchased at www.peda.com, but I've also seen them elsewhere.
	www.forum-one.org /new-6429791-4346.html (2703 words)

	diamond
		This is rarely found grown together or disdyakis dodecahedron.
		Through studies of its high enough pressure for use of high refractive index (around 2.4), which also dates to polish, cut, or disdyakis dodecahedron.
		These high pressures and twinned octahedra known and polishing techniques, and they are formed from organic carbon dating) except using the carbon dating) except using the octahedron.
	diamond.johnfl.com (3256 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		Equivalently, project the vertices, edge midpoints, and facet centroids of the icosohedron onto its circumsphere and take the convex hull.
		You get the same result if you start with a regular dodecahedron and split each facet into 10 congurent triangles, or if you start with a rhombic triacontahedraon and split each facet into 4 congruent triangles.
		The last construction gives the polyhedron its name: "disdyakis triacontahedron".
	www.mat.niu.edu /~rusin/known-math/98/equisphere (576 words)

	wikien.info: Main_Page (Site not responding. Last check: 2007-10-09)
		Type Archimedean Faces 12 squares8 hexagons6 octagons Edges 72 Vertices 48 Vertex configuration 4,6,8 Symmetry group octahedral (Oh) Dual polyhedron disdyakis dodecahedron Properties co..
		Truncated dodecahedron Click on picture for large version.Click [here]; for spinning version.
		A truncated mean is a statistical measure of central tendency, much like the mean and median.
	www.merdin.info /browse.php?title=T/T/TRU (10953 words)

	Wizards.COMmunity Boards - Dice
		Gold paint (to match the flecks of pyrite found in lapis) would have been a lot more attractive, but c'est la vie.
		By the way, has anyone ever seen a die in the shape of a disdyakis dodecahedron (48 sides), pentakis dodecahedron (60 sides), deltoidal hexecontahedron (another one with 60 sides), or a disdyakis triacontahedron (120, count 'em, 120 sides)?
		I've never seen such dice, but if they exist, they're bound to be interesting specimens, even if they have little practical use.
	boards1.wizards.com /showthread.php?s=fccc9679ed663cdd28e843632a8f523c&t=47123&page=2&pp=30 (2102 words)

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