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Topic: Rhombicosidodecahedron

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tridiminished rhombicosidodecahedron

paragyrate diminished rhombicosidodecahedron

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metabidiminished rhombicosidodecahedron

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gyrate rhombicosidodecahedron

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	Rhombicosidodecahedron - Wikipedia, the free encyclopedia
		The rhombicosidodecahedron, or small rhombicosidodecahedron, is an Archimedean solid.
		The name rhombicosidodecahedron refers to the fact that the 30 square faces lie in the same planes as the 30 faces of the rhombic triacontahedron which is dual to the icosidodecahedron.
		Cartesian coordinates for the vertices of a rhombicosidodecahedron centered at the origin are
	en.wikipedia.org /wiki/Rhombicosidodecahedron (229 words)

	[No title]
		rhombicosidodecahedron +------------------------------------------------------------ The rhombicosidodecahedron is a polyhedron with 60 vertices and 62 faces.
		paragyrate diminished rhombicosidodecahedron +------------------------------------------------------------ The paragyrate diminished rhombicosidodecahedron is a polyhedron with 55 vertices and 52 faces.
		metagyrate diminished rhombicosidodecahedron +------------------------------------------------------------ The metagyrate diminished rhombicosidodecahedron is a polyhedron with 55 vertices and 52 faces.
	www.math.harvard.edu /~knill/sofia/data/polyhedra.txt (2272 words)

	Metabidiminished rhombicosidodecahedron: Facts and details from Encyclopedia Topic (Site not responding. Last check: 2007-11-06)
		the diminished rhombicosidodecahedron (In geometry, the diminished rhombicosidodecahedron is one of the...)
		the parabidiminished rhombicosidodecahedron (In geometry, the parabidiminished rhombicosidodecahedron is one of the...)
		the tridiminished rhombicosidodecahedron (In geometry, the tridiminished rhombicosidodecahedron is one of the...)
	www.absoluteastronomy.com /ref/metabidiminished_rhombicosidodecahedron (272 words)

	Tridiminished rhombicosidodecahedron - Wikipedia, the free encyclopedia
		In geometry, the Tridiminished rhombicosidodecahedron is one of the Johnson solids (J
		It can be constructed as a rhombicosidodecahedron with three pentagonal cupola removed.
		The 92 Johnson solids were named and described by Norman Johnson in 1966.
	en.wikipedia.org /wiki/Tridiminished_rhombicosidodecahedron (103 words)

	Rhombicosidodecahedron (Site not responding. Last check: 2007-11-06)
		icosidodecahedron, we move in exactly half way, the result is the rhombicosidodecahedron.
		In the figure above, we can see that the 12 purple pentagonal faces and the 20 green triangular faces are what is left of the faces of the cubocahedron, after truncating the corners of that solid.
		The 30 tan square faces arise from the truncation procedure.
	www.geom.uiuc.edu /~sudzi/polyhedra/archimedean/rhombi_icosidodeca.html (58 words)

	Trigyrate rhombicosidodecahedron - Wikipedia, the free encyclopedia
		In geometry, the Trigyrate rhombicosidodecahedron is one of the Johnson solids (J
		It can be constructed as a rhombicosidodecahedron with three pentagonal cupolae rotated through 36 degrees.
		Related Johnson solids are the gyrate rhombicosidodecahedron (J
	en.wikipedia.org /wiki/Trigyrate_rhombicosidodecahedron (106 words)

	Molecular Models
		This illustration of the small rhombicosidodecahedron shows how the fact that a selected group of faces of the icosahedron has faces with orientations matching those of the octahedron, along with the fact that a set of faces of the rhombic triacontahedron has orientations matching those of the faces of the cube, may be useful:
		It may be noted that, in addition to spheres representing hydrogen atoms, and the shape used for the trigonal bipyramid bond arrangement, which is a bisected cuboctahedron with a layer of twelve rectangles inserted, some sets in this series also include atoms in the shape of the great rhombicuboctahedron and the icosidodecahedron.
		In practice, the radii might be proportional to the Van der Waals radius of each kind of atom, perhaps from 40% to 25% of that radius on the scale on which bonds are represented.
	www.quadibloc.com /math/acs01.htm (1452 words)

	Big and hard to spell: St. Germaine pupils build 9-foot-tall rhombicosidodecahedron (Site not responding. Last check: 2007-11-06)
		The article, about a rhombicosidodecahedron made up of 22-inch sides and created by students in Hawaii, encouraged efforts to make a larger figure.
		The result: a rhombicosidodecahedron that stands roughly 9 feet tall, with a total surface area of 2,741 square feet and a volume of 272 cubic feet.
		Bricker said she would keep it in class as long as there is space for it.
	www.post-gazette.com /pg/04063/280160.stm (490 words)

	Co-ordinates and Distances
		If one works with a connector in the shape of the small rhombicosidodecahedron rather than the rhombic triacontahedron, one gains in addition the ability to insert connectng rods from a connector at the center of either an icosahedron or a dodecahedron to its vertices.
		Because the edges of a prism are parallel, and because the pentagonal faces of the small rhombicosidodecahedron are in the same orientation as those of a dodecahedron, the height of the triangular prisms equals the distance between the vertices of a dodecahedron and its center.
		And the change from a pentagon to a decagon follows the same rule as the change from a triangle to a hexagon: so the height of the triangular prisms is again the distance from the vertices of a dodecahedron to its center.
	www.quadibloc.com /math/acs02.htm (2623 words)

	Augmenting the great rhombicosidodecahedron
		Each retrograde pentagrammic face of the great rhombicosidodecahedron can be excavated with a pentagrammic prism completing a cycle around the axis.
		great rhombicosidodecahedron can be obtained by excavating each pentagrammic face with a pentagrammic antiprism completing a cycle around the axis.
		The square faces of the great rhombicosidodecahedron are then augmented with square pyramids.
	web.ukonline.co.uk /polyhedra/uniform/augmented/72.html (566 words)

	Dimple patterns for golf balls - Patent 6705959
		The parting line may include a parallel segment parallel to the true equator of the golf ball and a plurality of diverging segments that diverge and converge relative the true equator.
		The dimple pattern according to a great rhombicosidodecahedron will be discussed below for illustrative purposes only; the discussion below can be modified to apply with equal force to a dimple pattern of any desired shape or shape fragment.
		To place dimples on a golf ball 1 according to a pattern defined by a great rhombicosidodecahedron, the surface of the ball is subdivided according to corresponding surfaces of the great rhombicosidodecahedron.
	www.freepatentsonline.com /6705959.html (3155 words)

	Rhombi Archimedeans
		There are two archimedeans call the rhombicuboctahedron and the rhombicosidodecahedron.
		These two are sometimes called the small rhombi-cuboctahedron and the small rhombi-icosidodecahedron so as to distinguish them from two others in the fourth group, the great rhombicuboctahedron and the great rhombicosidodecahedron (truncated quasi-regulars).
		If you look at it another way each pentagonal face is surrounded by a square at its edges with a triangle filling the space between each square.
	www.ul.ie /~cahird/polyhedronmode/rhombi.htm (186 words)

	Rhombicosidodecahedron (Site not responding. Last check: 2007-11-06)
		The rhombicosidodecahdron (sometimes called small rhombicosidodecahedron) has 60 vertices, 120 edges and 62 facets, 12 pentagons, 30 squares and 20 triangles.
		Maybe the first drawing of the rhombicosidodecahedron can be found in Daniele Barbaro's book La Practica della Perspectiva (around 1569).
		The density of a densest lattice packing was calculatd with the algorithm of Betke and Henk.
	www.eg-models.de /models/Discrete_Mathematics/Lattices_and_Packings/Densest_Polytopes/2001.02.057/_preview.html (108 words)

	Rhombicosidodecahedron (Site not responding. Last check: 2007-11-06)
		The red edges give a similar collapse to the dodecahedron, with a corresponding twelve pentagonal prisms and twenty triangular pyramids.
		If you prefer, you may instead focus on the thirty squares in the rhombicosidodecahedron.
		There are two ways in which to simultaneously collapse all of these squares into line segments, and each is manifested in a family of triangular prisms in the model.
	www.smcm.edu /users/sgoldstine/origami/zome/rhombics.html (185 words)

	Geometry Info (Site not responding. Last check: 2007-11-06)
		In fact it is the only solid that can fill a space with 4 lines at a point, and therefore is the simplest decomposition of space in congruent parts.
		-The Small Rhombicosidodecahedron is obtained by cutting off the points of the Icosidodecahedron at the midpoint of each edge, and then adjusting the edges so they are all the same length.
		-The Great Rhombicosidodecahedron is obtained by truncating the points of the Icosidodecahedron, and then adjusting the edges so they are all the same length.
	www.webdragon.com /geometry/data/sreginfo.html (327 words)

	Great Rhombicosidodecahedron
		I was also busy with other projects though, and even made some other models along the way, so it could be made much quicker.
		Note: some people use the name "great rhombicosidodecahedron" to refer to the truncated icosidodecahedron, which confuses things somewhat!
		The great rhombicosidodecahedron has pairs (2) and (3).
	web.aanet.com.au /robertw/GRhomIcosDod.html (353 words)

	Making a rhombicosidodecahedron (Site not responding. Last check: 2007-11-06)
		The rhombicosidodecahedron has 20 triangular faces, 12 pentagonal faces and 30 square faces.
		Now, assemble the rhombicosidodecahedron and glue the remaining joints.
		This is a time consuming process, and it will take some thought to ensure that you're doing the colors properly, but you end up with a nice-looking, polyhedron.
	www.cs.utk.edu /~plank/plank/pics/origami/penultimate/rhombicosidodecahedron.html (553 words)

	Rhombicosidodecahedron (Site not responding. Last check: 2007-11-06)
		The rhombicosidodecahedron is one of the thirteen Archimedean solids.
		The rhombicosidodecahedron has 60 vertices, 62 faces and 120 edges.
		to the center point where intersected, 60 of the 80 intersection points are the vertices of the rhombicosidodecahedron.
	www.zib.de /eg-models/models/Classical_Models/Regular_Solids/2000.09.013/_preview.html (135 words)

	Rhombicosidodecahedron: Facts and details from Encyclopedia Topic (Site not responding. Last check: 2007-11-06)
		The name rhombicosidodecahedron refers to the fact that the 30 square faces lie in the same planes as the 30 faces of the rhombic triacontahedron (In geometry, the rhombic triacontahedron is a convex polyhedron with 30 rhombusrhombic faces....)
		Canonical coordinates for the vertices of a rhombicosidodecahedron centered at the origin are
		Polyhedral compound (A polyhedral compound is a polyhedron which is itself composed of several other polyhedra sharing a common centre,...)
	www.absoluteastronomy.com /ref/rhombicosidodecahedron (1042 words)

	Uniform Polyhedra
		The solids above are derived from the rhombicuboctahedron and rhombicosidodecahedron by faceting, or removing parts of the solid bounded by planes within the solid.
		The solids above are derived by faceting the cube and dodecahedron to produce 8/3 and 10/3 faces.
		The two solids above have the same vertices and edges as the preceding two pairs, but the 8/3 and 10/3 faces have been faceted to result in intricate rosettes.
	www.uwgb.edu /dutchs/symmetry/unipol1.htm (253 words)

	[No title]
		Archimedes considered the problem how many polyhedra can be obtained if we use 2 or more combinations of regular polygons.
		For example the “small rhombicosidodecahedron” can be formed by 20 isosceles triangles, 30 squares and 12 regular pentagons.
		Archimedes work about the semiregular polyhedra is lost but there are references made by the mathematician Pappus.
	www.mlahanas.de /Greeks/ArchimedesSolids.htm (419 words)

	Contentment by design - Currently on my workbench (a shoji lamp based on the rhombicosidodecahedron)
		Contentment by design - Currently on my workbench (a shoji lamp based on the rhombicosidodecahedron)
		I have a Zome model of a rhombicosidodecahedron on my desk.
		I have books that tell me the angles and other essential facts of each of the common polyhedra, but something in me wants to know these shapes more intimately than that.
	www.toshen.com /lamp-onmyworkbench.html (102 words)

	Computer Graphics - Available Polyhedrons (Site not responding. Last check: 2007-11-06)
		Small Rhombicosidodecahedron (12 pentagons, 20 triangles, 30 squares)
		Great Rhombicosidodecahedron (12 decahedons, 20 hexagons, 30 squares)
		Deltoidal (or trapezoidal) Hexecontahedron (60 trapezoids; dual of the Small Rhombicosidodecahedron)
	www.soi.city.ac.uk /~dcd/ig/cwk/pol.htm (517 words)

	Folding Modular Models - Polyhedrals by Francis Ow (Site not responding. Last check: 2007-11-06)
		Using modules that can interlock at various angles, I have been able to devise many kinds of other geometrical models.
		A 90-degree module will give you a cube, a 120-degree module can give you truncated tetrahedron, cuboctahedron, dodecahedron, rhombicuboctahedron, etc.
		With a 135-degree module, you can construct a trucated cube, rhombicosidodecahedron, truncated octahedron, isosidodecahedron, snub cube, snub dodecahedron, truncated icosahedron, etc. I suppose by now with your head spinning with possibilities and the ridiculously long names, you will get the idea of the limitless possibility to explore.
	web.singnet.com.sg /~owrigami/modular.htm (295 words)

	Image:Rhombicosidodecahedron.png - TheBestLinks.com - ...
		Click on date to see image uploaded on that date.
		Cyp (4884 bytes) (Rhombicosidodecahedron, rendered by Java applet I wrote.)
		There are no pages that link to this image.
	www.thebestlinks.com /Image__3A__Rhombicosidodecahedron.png.html (87 words)

	Tom Gettys - Rhombi Archimedian Solids (Site not responding. Last check: 2007-11-06)
		The Small Rhombicuboctahedron can derived by starting with either the Cube or the Octahedron and truncating the edges.
		Likewise, the Small Rhombicosidodecahedron can derived by starting with either the Icosahedron or the Dodecahedron.
		A very nice screensaver that demonstrates this relationship can be obtained (for free!) here: Polyhedron Screensaver.
	home.comcast.net /~tpgettys/rhombi.html (132 words)

	Great Rhombicosidodecahedron (Site not responding. Last check: 2007-11-06)
		This is the "Great Rhombicosidodecahedron", and is an "Archimedean Solid" because it is regular and made of regular polygons, and each corner is identical.
		It is made with 180 sticks, formed into 12 decagons, each decagon being joined to 5 adjacent decagons, each join consisting of 2 sticks.
		Now, does this look like a face ?
	www.lawrencependred.pwp.blueyonder.co.uk /Polyhedra/great_rombi.htm (76 words)

	Untitled Document
		ATI Truncated Icosahedron hexagons (8,6,6) 12 pent Icosahedron
		ARD Rhombicosidodecahedron 12 pent, 30 sq, 20 tri Dodecahedron
		AGD Great Rhombicosidodecahedron 12 deca, 20 hex, 30 sq Dodecahedron
	www.artangent.com /sygma.htm (488 words)

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