
	Where results make sense

Topic: Small rhombicuboctahedron

Related Topics

Duesseldorf

Myotismon

In the News (Wed 30 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	Cantellated tesseract - Wikipedia, the free encyclopedia
		In geometry, the cantellated tesseract is a uniform polychora or 4-dimensional polytope bounded by 56 cells: 8 small rhombicuboctahedra, 16 octahedra, and 32 triangular prisms.
		The axial squares of this central small rhombicuboctahedron touches the centers of the 6 octagons of the envelope.
		The 12 wedge-shaped volumes connecting the non-axial square faces of the central small rhombicuboctahedron to the neighbouring octagons are the images of 24 of the triangular prisms.
	en.wikipedia.org /wiki/Cantellated_tesseract (318 words)

	Rhombicuboctahedron - Wikipedia, the free encyclopedia
		The rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces.
		The name rhombicuboctahedron refers the fact that 12 of the square faces lie in the same planes as the 12 faces of the rhombic dodecahedron which is dual to the cuboctahedron.
		Cartesian coordinates for a rhombicuboctahedron are all permutations of
	en.wikipedia.org /wiki/Rhombicuboctahedron (498 words)

	Polyhedron - LoveToKnow Watches
		The small stellated dodecahedron is formed by stellating the Platonic dodecahedron (by "stellating " is meant developing the faces contiguous to a specified base so as to form a regular pyramid).
		In the " small rhombicosidodecahedron " there are 12 pentagonal faces belonging to the dodecahedron, 20 triangular faces belonging to the icosahedron and 30 square faces belonging to the triacontahedron.
		As examples of facial holohedra we may notice the small rhombicuboctahedron and rhombic dodecahedron, and the small rhombicosidodecahedron and the semiregular triacontahedron.
	www.1911encyclopedia.org /Polyhedron (2152 words)

	[No title]
		The " small rhombicuboctahedron " is bounded by 12 pentagonal, 8 triangular and 6 square faces; the " great rhombicuboctahedra " by 12 decagonal, 8 triangular and 6 square faces.
		In the " small rhombicosidodecahedron " there are 12 pentagonal faces belonging to the dodecahedron, 20 triangular faces belonging to the icosahedron and 3o square faces belonging to the triacontahedron.
		As examples of facial holohedra we may notice the small rhombicuboctahedron and rhombic dodecahedron, and the small rhombicosidodecahedron and the semi-regular triacontahedron.
	encyclopedia.jrank.org /correction/edit?locale=en&content_id=53554 (2353 words)

	Poliedri
		The central figure is composed of the two lower polyhedra, interlinked, which assume the appearance of a starred polyhedron, the core of which is the small rhombicuboctahedron.
		But notice that the real stellated small rhombicuboctahedron (see Plate 8, central figure) has a quite different aspect from this one, for its vertices are more expanded, and all the edges of its trigonal and tetragonal pyramids are of equal length.
		This principle is clearly visible at the center figures of the two preceding plates, where the length of the sides of trigonal pyramids correspond to the height of the tetragonal and pentagonal pyramids.
	www.gicas.net /poliedri_text.html (4932 words)

	Computer Graphics - Available Polyhedrons
		Small Triakis Octahedron (24 triangles; dual of the Truncated Cube; a cumulation of the Octahedron)
		Deltoidal (or trapezoidal) Icositetrahedron (24 trapezoids; dual of the Small Rhombicuboctahedron; degenerate Cumulation of the Cuboctahedron)
		Deltoidal (or trapezoidal) Hexecontahedron (60 trapezoids; dual of the Small Rhombicosidodecahedron)
	www.soi.city.ac.uk /~dcd/ig2/week1/pol.htm (508 words)

	Co-ordinates and Distances
		Simple addition allows one to proceed from these to the vertices for the small rhombicuboctahedron, and the great rhombicuboctahedron as well as the cuboctahedron, are only alightly more difficult, and may safely be left as an exercise for the reader.
		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.
	www.quadibloc.com /math/acs02.htm (2623 words)

	Rhombicuboctahedra
		Again the terminology is similar, in this case the meta-tetra-inverted rhombicuboctahedron above left has two neighbouring cupolae left convex (or 'everted') and the para-tetra-inverted rhombicuboctahedron above right has two opposing cupolae left everted, these are now {4/3} cupolae due to the invertion of all the neighbouring cupolae.
		This allows us to rename the penta-inverted rhombicuboctahedron as an everted great rhombicuboctahedron and the tetra-inverted rhombicuboctahedra as bi-everted great rhombicuboctahedra, this clarifies the use of the meta and para prefixes for these polyhedra.
		The generation of the great rhombicuboctahedron from the small rhombicuboctahedron by invertion of its cupolae is the subject of the following animated VRML files.
	web.ukonline.co.uk /polyhedra/sirco/sirco1.html (387 words)

	The Johnson Solids
		J72, the gyrate rhombicosidodecahedron, J73, the parabigyrate rhombicosidodecahedron, J74, the metabigyrate rhombicosidodecahedron, and J75, the trigyrate rhombicosidodecahedron.
		The two component pieces of the pentagonal dipyramid both came from the icosahedron, the two component pieces of the square orthobicupola and the square gyrobicupola both came from the small rhombicuboctahedron, and the two component pieces of the pentagonal orthobicupola and the pentagonal gyrobicupola both came from the small rhombicosidodecahedron.
		But with the pentagonal orthocupolarotunda and the pentagonal gyrocupolarotunda, one piece from the small rhombicosidodecahedron is combined with one from the icosidodecahedron.
	www.quadibloc.com /math/acs03.htm (2007 words)

	Archimedean solid
		rhombicuboctahedron, also named the small rhombicuboctahedron (with a triangle, a square, a square, and a square in sequence at each vertex)
		truncated cuboctahedron[?], also named the great rhombicuboctahedron (with a square, a hexagon, and an octagon in sequence at each vertex)
		rhombicosidodecahedron[?], also named the small rhombicosidodecahedron (with a triangle, a square, a pentagon, and a square in sequence at each vertex)
	www.ebroadcast.com.au /lookup/encyclopedia/ar/Archimedean_solid.html (498 words)

	11011110: Zonohedra and cubic partial cubes
		The Great Rhombicuboctahedron is the result of the paper's inflation operation, applied to either the cube or the octahedron (the operation produces the same result on any graph and its dual).
		The Truncated Small Rhombicuboctahedron is the result of applying the inflation operation to the Rhombic Dodecahedron, or to the Cuboctahedron (the paper's example in Fig.
		The Truncated Small Rhombicosidodecahedron is the result of applying the inflation operation to the Rhombic Triacontahedron or to the Icosidodecahedron.
	11011110.livejournal.com /12756.html (614 words)

	Everything about Vertex (Site not responding. Last check: 2007-10-22)
		- Quasitruncated small stellated dodecahedron or small stellated truncated dodecahedron
		So intricate is the human body that only a small number of professional human anatomists, after years of patient observation, are complete masters of all its details; most of them specialize on certain parts, such as the brain or viscera, contenting themselves with a good working knowledge of the rest.
		At the back part and close to the upper or sagittal border is the parietal foramen, which transmits a vein to the superior sagittal sinus, and sometimes a small branch of the occipital artery; it is not constantly present, and its size varies considerably.
	wikimiki.org /en/vertex (10331 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:
		This model set has recently been expanded to include green connecting rods, which, like the pieces in the shape of the great rhombicuboctahedron in the molecular model set mentioned before, allow connections between points to be made in an important set of directions not perpendicular to any of the faces of the small rhombicosidodecahedron.
		The buff-colored metal atom has flat circular areas corresponding to the twenty-six faces of the small rhombicuboctahedron instead, allowing both the face-centered cubic and body-centered cubic lattices to be formed with this type of ball.
	www.quadibloc.com /math/acs01.htm (1452 words)

	Archimedean Solids
		For example, on cutting off the corners of a cube, byplanes parallel to the faces of the reciprocal octahedron, we have small rectangles, and replace the square faces to octagons.
		Then there are two called the small rhombicuboctahedron and the small rhombiicosidodecahedron.
		An analogous construction leads to the rhombicuboctahedron whose faces consist of 8 triangles and 6+12 squares.
	www.cecm.sfu.ca /~hle/polyhedra/archimedean.html (666 words)

	Jerry L. Atwood
		A main theme of our research is associated with the link between the solid geometry principles of Plato and Archimedes and the chemical assembly of small building blocks into large supramolecular structures.
		Specifically, the discovery that members of the resorcin[4]arene family, 1, self-assemble to form the capsule shown below, 2, prompted my research group to examine the topologies of related spherical hosts with a view to understanding their structures on the basis of symmetry.
		An important outgrowth of the work briefly described above was the discovery of a method of control of molecular architecture such that in one example a spherical assembly (a great rhombicuboctahedron, an Archimedean solid) was converted into a tubular structure.
	www.chem.missouri.edu /faculty/Atwood/research.html (798 words)

	Geometry Info (Site not responding. Last check: 2007-10-22)
		The Truncated Icosihedron is the shape used for the classic soccer ball (I've seen new soccerballs shaped like the Small Rhombicosidodecahedron), and it's the shape of the third form of carbon - the Buckeyball (silly name).
		-The Small Rhombicuboctahedron is obtained by cutting off the points of the Cuboctahedron at the midpoint of each edge, and then adjusting the edges so they are all the same length.
		-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.
	www.webdragon.com /geometry/data/sreginfo.html (327 words)

	Archimedean Solids in SuperMag
		The small rhombicuboctahedron is composed out of 8 triangular and 18 square faces.
		The small rhombicosidodecahedron consists of 20 triangular, 30 square, and 12 pentagonal faces.
		The great rhombicuboctahedron consists of 12 square, 8 hexagonal, and 6 octagonal faces.
	www.complang.tuwien.ac.at /schani/supermag/archimedean (771 words)

	Math Games: Supermagnetic Polyhedra
		An expanded small rhombicosidodecahedron serves as the connecting sphere between triangular, rectangular, and pentagonal rods.
		Poles of the magnetic cube, icosahedron, and small rhombicuboctahedron.
		The magnetic icosahedron has a fixed three-fold symmetry, as does the small rhombicuboctahedron.
	www.maa.org /editorial/mathgames/mathgames_03_29_04.html (584 words)

	Archimedes - Wikipedia, the free encyclopedia
		From the introductory letter we also learn that Archimedes' father was an astronomer.
		In this work, which was unknown in the Middle Ages, but the importance of which was realised after its discovery, Archimedes pioneered the use of infinitesimals, showing how breaking up a figure in an infinite number of infinitely small parts could be used to determine its area or volume.
		Archimedes did probably consider these methods not mathematically precise, and he used these methods to find at least some of the areas or volumes he sought, and then used the more traditional method of exhaustion to prove them.
	en.wikipedia.org /wiki/Archimedes (2141 words)

	Tensegrity Models (Site not responding. Last check: 2007-10-22)
		The cords form a shape close to a small rhombicuboctahedron.
		A twisted small stellated dodecahedron (viewed close to a two-fold axis).
		One of the features of the twisted polyhedra is that each strut is paired with a parallel line on the other side of the centre through which lots of struts (possibly extended) pass.
	www.freewebtown.com /6-10/a/d/adrian/geom/835_tens_models/imagelist.html (726 words)

	best small business software (Site not responding. Last check: 2007-10-22)
		Small Axe distributes and manufacturers quality rolling boards for the avid smoker and stays committed to providing T-shirts that express cultural and spiritual consciousness by unique graphics.
		The small rhombicuboctahedron is the 26-faced Archimedean solid consisting of faces...
		A small rhombicuboctahedron appears in the middle right as one of the...
	www.bestbizsoftware.info /best-small-business-software (1772 words)

	Four Dimensional Figures Page
		Small swirlprism sections, vertex first, part 1 (from vertex to center); and here: Small swirlprism sections, vertex first, part 2 (continuing from center to opposite vertex).
		The small swirlprism has 120 pentagonal antiprisms for its cells (one of which pops into existence in the.100 section in part 1, another symmetrically pops out after the.900 section in part 2).
		The small swirlprism was sectioned by Jonathan Bowers using his POV-ray uniform polychoron sectioning system, and I added it to this website May 12, 2001.
	members.aol.com /Polycell/uniform.html (4238 words)

	Map Projections: Rhombicuboctahedra
		Technically, this is a "small" rhombicuboctahedron (yes, there's another solid called the great rhombicuboctahedron).
		Gnomonic projection on a rhombicuboctahedron, poles centered on opposite triangular faces, color-coded by altitude.
		Gnomonic projection on a rhombicuboctahedron, poles centered on opposite triangular faces.
	www.progonos.com /furuti/MapProj/Normal/ProjPoly/Foldout/Rhombicuboct/rhombicuboct.html (241 words)

	5b
		Small rhombicuboctahedron 8/3 18/4 from truncation of octahedron 8/3
		rhombicuboctahedron to the centre of the triangle (red) is EA×1.27.
		The distance between the octahedron triangle corner and the rhombicuboctahedron triangle (red) corner is circum-
	home.swipnet.se /polytruncat/5bbbbb.htm (114 words)

Try your search on: Qwika (all wikis)