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Topic: Truncated cuboctahedron

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Truncated octahedron

Cuboctahedron

Archimedean solid

Platonic solid

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		truncate a cuboctahedron by cutting the corners off, you do not get an actual regular truncated cuboctahedron: some of the faces will be irregular polygons.
		However, the resulting figure is topologically equivalent to truncated cuboctahedron and can always be deformed until the faces are regular.
		Canonical coordinates for the vertices of a truncated cuboctahedron centered at the origin are all permutations of (±1, ±(1+√2), ±(1+√8)).
	www.en-cyclopedia.com /wiki/Truncated_cuboctahedron (142 words)

	Truncated cuboctahedron - Art History Online Reference and Guide
		Since each of its faces has point symmetry (equivalently, 180° rotational symmetry), the truncated cuboctahedron is a zonohedron.
		If you truncate a cuboctahedron by cutting the corners off, you do not get an actual regular truncated cuboctahedron: some of the faces will be irregular polygons.
		The alternative name great rhombicuboctahedron refers to the fact that the 12 square faces lie in the same planes as the 12 faces of the rhombic dodecahedron which is dual to the cuboctahedron.
	www.arthistoryclub.com /art_history/Truncated_cuboctahedron (197 words)

	Facts about truncated cuboctahedron
		The truncated cuboctahedron or great rhombicuboctahedron is an Archimedean solid.
		Note that the name truncated cuboctahedron may be a little misleading, if you truncate a cuboctahedron by cutting the corners off, you (according to my intuition) do not get an actual regular truncated cuboctahedron, you get something similar, just with rectangles instead of squares, and either the hexagons or octagons will also not be regular.
		Canonical coordinates for the vertices of a truncated cuboctahedron centered at the origin are all permutations of (±1, ±(1+√2), ±(1+√8)).
	www.supercrawler.com /Facts/truncated_cuboctahedron.html (126 words)

	Canonical Toroids
		Gyrate one truncated cuboctahedron through 45 degrees with respect to the other.
		Note that four of the square faces of the gyrated truncated cuboctahedron now lie above the remaining octagonal faces of the original truncated cuboctahedron.
		The original truncated cuboctahedron is shown in red with the gyrated polyhedra in yellow, green and blue.
	web.ukonline.co.uk /polyhedra/toroids/canonical.html (549 words)

	Cool math .com - Polyhedra - Truncated Cuboctahedron
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		Properties of the truncated cuboctahedron: Number of faces, edges and dihedral angle measure
		The truncated cuboctahedron is created by truncating (cutting off) the cuboctahedron one third of the way into each side
	www.coolmath.com /reference/polyhedra-truncated-cuboctahedron.html (82 words)

	Cool math 4 kids .com - The Truncated Cuboctahedron
		Cool math 4 kids.com - The Truncated Cuboctahedron
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		The truncated cuboctahedron is created by truncating (cutting off) the cuboctahedron one third of the way into each side
	www.coolmath4kids.com /polyhedra/polyhedra_truncated-cuboctahedron.html (76 words)

	Truncated cuboctahedron at AllExperts
		The name truncated cuboctahedron, given originally by Johannes Kepler, is a little misleading.
		However, the resulting figure is topologically equivalent to a truncated cuboctahedron and can always be deformed until the faces are regular.
		Cartesian coordinates for the vertices of a truncated cuboctahedron centered at the origin are all permutations of: (Â±1, Â±(1+â2), Â±(1+â8)).
	en.allexperts.com /e/t/tr/truncated_cuboctahedron.htm (237 words)

	Truncated cuboctahedron (Site not responding. Last check: )
		If you truncate a cuboctahedron by cutting the corners off, you do not get an actual regular truncated cuboctahedron: some of the faces will be irregular polygons.
		However, the resulting figure is topologically equivalent to truncated cuboctahedron and can always be deformed until the faces are regular.
		Canonical coordinates for the vertices of a truncated cuboctahedron centered at the origin are all permutations of (±1, ±(1+√2), ±(1+√8)).
	www.serebella.com /encyclopedia/article-Truncated_cuboctahedron.html (215 words)

	GreatTruncatedCuboctahedron
		Search for " Great truncated cuboctahedron " in NRICH
		The 25th uniform polyhedron is the Great truncated cuboctahedron; it has Wythoff symbol 4/3 2 3 -.
		The pattern of polygons round each vertex is (8/3,4,6); its symmetry group is the octahedral group S4.
	thesaurus.maths.org /mmkb/entry.html?action=entryByConcept&id=2830 (109 words)

	Augmenting the great truncated cuboctahedron
		Each hexagonal face of the great truncated cuboctahedron can be augmented with a hexagonal antiprism.
		The 6 in the vertex figure is replaced by a (3,3,3) The original vertex figures become (
		Great Stella would call this an an excavation as it is toward the centre of the polyhedron).
	web.ukonline.co.uk /polyhedra/uniform/augmented/25.html (74 words)

	Quasitruncated Cuboctahedron
		Just before starting the design of a new model I wanted to build this one, just because it looked like a very intresting model to me while I was browsing through Magnus Wenningers book "Polyhedron Models" for inspiration.
		The Quasitruncated Cuboctahedron is also called Great Truncated Cuboctahedron.
		It can be observed easily that this model consists of squares (12) and octagrams (6).
	www.tum.dds.nl /polyh/qtco.htm (557 words)

	Uniform polyhedra --- List
		The notation in parentheses is a Wythoff symbol which characterizes the derivation of each.
		compound of small stellated truncated dodecahedron and dual
		compound of great stellated truncated dodecahedron and dual
	www.georgehart.com /virtual-polyhedra/uniform-index.html (58 words)

	Folding Modular Models - Polyhedrals by Francis Ow
		Using this module and folding the necessary number of modules you can construct a Truncated Cube, Rhombicosidodecahedron, Truncated Octahedron, Icosidodecahedron, Snub Cube, Snub Dodecahedron, Truncated Icosahedron, Truncated Cuboctahedron, etc.
		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)

	93quitco.htm
		The great truncated cuboctahedron (aka quitco, Wenninger no 93) consists of 8 hexagons, 12 squares and 6 octagrams.
		This model was made with the help of the program
		With this program you can open the STEL-file.
	www.polyedergarten.de /e_93quitco.htm (36 words)

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