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Topic: Truncated dodecahedron

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	polyhedra.org: Pentagon
		2 pentagons: metabidiminished icosahedron, parabiaugmented truncated dodecahedron, metabiaugmented truncated dodecahedron, pentagonal prism, pentagonal antiprism, pentagonal orthobicupola, pentagonal gyrobicupola, elongated pentagonal orthobicupola, elongated pentagonal gyrobicupola, gyroelongated pentagonal bicupola, augmented pentagonal prism and biaugmented pentagonal prism
		10 pentagons: parabiaugmented dodecahedron, metabiaugmented dodecahedron, parabidiminished rhombicosidodecahedron, metabidiminished rhombicosidodecahedron and gyrate bidiminished rhombicosidodecahedron
		12 pentagons: gyrate rhombicosidodecahedron, parabigyrate rhombicosidodecahedron, metabigyrate rhombicosidodecahedron, trigyrate rhombicosidodecahedron, dodecahedron, pentagonal orthobirotunda, elongated pentagonal orthobirotunda, elongated pentagonal gyrobirotunda and gyroelongated pentagonal birotunda
	polyhedra.org /poly/polygon/5/pentagon (0 words)

	Archimedean Polyhedra
		Except for the truncated tetrahedron, lower right, all the Archimedean polyhedra are modifications of the cube-octahedron pair or the dodecahedron-icosahedron pair.
		The tetrahedron and truncated tetrahedron are shown in the last pair.
		For example, in the top row we see a truncated tetrahedron with vertices 3.6.6 (n=3), a truncated cube with 3.8.8 (n=4), a truncated dodecahedron with 3.10.10 (n=5).
	www.uwgb.edu /dutchs/symmetry/archpol.htm (0 words)

	Index: Platonic and Archimedean Solids (69-79)
		The five regular convex polyhedra, or Platonic solids, are the tetrahedron, cube, octahedron, dodecahedron, icosahedron (75 - 79), with 4, 6, 8, 12, and 20 faces, respectively.
		Similarly, the dodecahedron and the icosahedron are duals of each other, and the tetrahedron is its own dual.
		Thus we obtain the truncated cube (69), the truncated tetrahedron (70), the truncated octahedron (74).
	math.arizona.edu /~models/Platonic_and_Archimedean_Solids (376 words)

	Truncated rhombic dodecahedron Information
		The truncated rhombic dodecahedron is a convex polyhedron constructed from the rhombic dodecahedron by truncated the 6 (order 4) vertices.
		Note that this name is ambiguous since only 6 vertices were truncated, and different polyhedra can be generated by truncating the other 8 vertices, or all 14 vertices of the original rhombic dodecahedron.
		Truncated rhombic dodecahedron is the Minkowski sum of a rhombic dodecahedron and a cube of side length 1 when eight vertices of the rhombic dodecahedron are at
	www.bookrags.com /wiki/Truncated_rhombic_dodecahedron (202 words)

	APPENDIX B
		Each of the truncated rhombic triacontahedron’s thirty faces is optimal packed with 1440 circles per face.
		The truncated rhombic triacontahedron’s thirty faces are each optimal packed with 360 circles per face.
		The cuboctahedron is a truncated tetrahedron V 4.3!
	members.tripod.com /vismath4/dyke/apb.htm (844 words)

	The Archimedean Solids
		The three solids this process will produce are the dodecahedron, a Platonic solid, and the two Archimedean solids known as the truncated dodecahedron and the icosidodecahedron.
		Another shape, which could be obtained from a dodecahedron, is easier to obtain by this method by trimming the corners of an icosahedron, thus creating little pentagonal faces at each corner, and changing the triangular faces to hexagons.
		If we were to truncate the corners more deeply, so as to change the existing faces to triangles pointed the other way instead of hexagons, we would not obtain an Archimedean solid, but instead another Platonic solid, the octahedron.
	www.quadibloc.com /math/acsint.htm (952 words)

	Truncated dodecahedron (Site not responding. Last check: )
		It has 12 regular decagon al faces, 20 regular triangular faces, 60 vertices and 90 edges.
		Canonical coordinates for the vertices of a truncated dodecahedron centered at the origin are (0, ±1/τ, ±(2+τ)), (±(2+τ), 0, ±1/τ), (±1/τ, ±(2+τ), 0), and (±1/τ, ±τ, ±2τ), (±2τ, ±1/τ, ±τ), (±τ, ±2τ, ±1/τ), and (±τ, ±2, ±τ
		(geometry) a polyhedron with twelve faces; the regular dodecahedron has regular pentagons as faces and is one of the Platonic solids.
	www.serebella.com /encyclopedia/article-Truncated_dodecahedron.html (156 words)

	Models of polyhedra
		The small stellated dodecahedron with 12 pentagrams acc.
		Dodecahedron is dual to icosahedron.Icosahedron is dual to dodecahedron
		Rhombic dodecahedron with 12 rhombi.(Diagonals 1/ Ö2) Rhombic tricontahedron with 30 rhombi (Diagonals 1/F)
	home.swipnet.se /polyhedra/index.htm (134 words)

	Dodecahedron Day: Nets for Models (Site not responding. Last check: )
		A geodesic dodecahedron may be formed by projecting a dodecahedron onto a sphere, and then subdividing each pentagon into five congruent spherical triangles.
		For this geodesic version of the snub dodecahedron, the triangles are kept intact, while the pentagons are subdivided into five isosceles spherical triangles.
		Since subdividing the spherical triangles of the truncated dodecahedron into six subtriangles would make them too small, James decided to subdivide them into only three smaller triangles.
	websites.quincy.edu /~matskvi/ddd/nets.html (792 words)

	Truncated Dodecahedron
		The truncated dodecahedron is one of the thirteen Archimedean solids.
		It is generated by truncating the vertices of a dodecahedron such, that the faces of the dodecahedron are cut to regular dakagons.
		to the center point where intersected, the 60 intersection points are the vertices of the truncated dodecahedron.
	www.eg-models.de /models/Classical_Models/Regular_Solids/2000.09.021/_preview.html (143 words)

	Truncated_dodecahedron - The Wordbook Encyclopedia
		In geometry, the truncated dodecahedron is an Archimedean solid.
		This polyhedron can be formed from a dodecahedron by truncating (cutting off) the corners so the pentagon faces become decagons and the corners become triangles.
		The following Cartesian coordinates define the vertices of a truncated dodecahedron centered at the origin:
	www.thewordbook.com /Truncated_dodecahedron (172 words)

	Some of the Archimedean Solids
		The three solids depicted above are the dodecahedron, a Platonic solid, and the two Archimedean solids known as the truncated dodecahedron and the icosidodecahedron.
		And it is, of course, a familiar shape to soccer fans, since the pattern on most soccer balls is based on this solid, with the hexagons white and the pentagons fl.
		In the first row, we see the cube, followed by the truncated cube, the cuboctahedron, the truncated octahedron, and the octahedron.
	members.shaw.ca /quadibloc/math/acsint.htm (615 words)

	Polyhedra
		One of these solids, the truncated tetrahedron, can be inscribed in a regular tetrahedron.
		The next six can be inscribed in either a cube or an octahedron, and the last six in either a dodecahedron or an icosahedron.
		The 'truncated' solids are so called because each can be constructed by cutting off the corners of some other solid, but the truncated cuboctahedron and icosidodecahedron require a distortion in addition to convert rectangles into squares.
	www.faculty.fairfield.edu /jmac/rs/polyhedra.htm (492 words)

	Polyhedron, Polyhedra, Polytopes - Numericana
		The truncated icosahedron (the shape of a traditional soccer ball) is now more commonly known as a buckyball ever since it was found to be the structure of a wonderful new molecule, now called fullerene (C
		The other three are the truncated octahedron (at left), the great rhombicosidodecahedron (at right) and the great rhombicuboctahedron.
		Truncated: By cutting off an m-gonal pyramid at one or more (usually all) of the vertices.
	home.att.net /~numericana/answer/polyhedra.htm (5442 words)

	Stellation of Small Stellated Truncated Dodecahedron
		users, this model can be found in the Stellations section of the supplied polyhedron library as Stellation of Small Stellated Truncated Dodecahedron.
		The dark areas show where the rest of the solid intersects with this plane.
		This shows the other type of face, from the decagram plane of the small stellated truncated dodecahedron.
	web.aanet.com.au /robertw/StelSSTD.html (0 words)

	Isohedral Deltahedra
		Four of these figures can be obtained by augmenting or excavating the rhombic dodecahedron and rhombic triacontahedron as above.
		The fifth is a 24 faced figure isomorphous to the augmented cube (image below), it is not derived from any rhombic figure.
		* The deltahedra derived from the stellatruncated dodecahedron and icositruncated dodecadodecahedron duals are similar in appearance.
	web.ukonline.co.uk /polyhedra/rhombic/isohedral_deltahedra.htm (525 words)

	P214: Computer Graphics 1 - Available Polyhedrons
		Pentakis Dodecahedron (60 triangles; dual of the Truncated Icosahedron; a cumulation of the Dodecahedron and the basis of Buckminster Fuller's Geodesic Dome.
		Triakis Tetrahedron (12 triangles; dual of the Truncated Tetrahedron; a cumulation of the Tetrahedron)
		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).
	www.soi.city.ac.uk /~dcd/ig1/week1/pol.htm (508 words)

	Truncated Dodecahedron
		If you slice off a vertex of a dodecahedron, but not too deep, the slice leaves a new, triangular face.
		If you slice them all off to just the right depth so that the triangular faces meet each other halfway along the original edges (which thereby all disappear), you get this.
		If you slice them all off to just the right depth so that the pentagonal faces meet each other halfway along the original edges (which thereby all disappear), you get this.
	www.magliery.com /Zome/trunc-dodeca.html (0 words)

	Alphabetic List of Polyhedra
		compound of cube and octahedron in rhombic dodecahedron
		compound of dodecahedron and icosahedron in rhombic triacontahedron
		compound of small stellated truncated dodecahedron and dual
	www.georgehart.com /virtual-polyhedra/alphabetic-list.html (0 words)

	Cool math .com - Polyhedra - Truncated Dodecahedron
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		Properties of the truncated dodecahedron: Number of faces, edges and dihedral angle measure
		The truncated dodecahedron is created by truncating (cutting off) the tips of the dodecahedron one third of the way into each edge
	www.coolmath.com /reference/polyhedra-truncated-dodecahedron.html (76 words)

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