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Topic: Andreini tessellation


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In the News (Tue 24 Nov 09)

  
  ScienceDaily: Andreini tessellation
In geometry, the Andreini tessellations are the complete set of 28 uniform (space-filling) honeycombs of 3-space.
All 28 Andreini tessellations are found in crystal arrangements.
Andreini, Sulle reti di poliedri regolari e semiregolari e sulle corrispondenti reti correlative, Mem.
www.sciencedaily.com /encyclopedia/andreini_tessellation   (1328 words)

  
 Talk:Andreini tessellation - Wikipedia, the free encyclopedia
Andreini is the name used by books I have, but someone else is welcome to change it if they have a better name.
but perhaps some "space groups" include more than one "Andreini tesselation" ?
I added an enumerations of the 28 tessellations, using the added online links provided.
en.wikipedia.org /wiki/Talk:Andreini_tessellation   (273 words)

  
 Middle East Open Encyclopedia: Uniform tessellation   (Site not responding. Last check: 2007-09-18)
In mathematics, a uniform tessellation is a tessellation of a d-dimensional space, or a (hyper)surface, such that all its vertices are identical, i.e., there is the same combination and arrangement of faces at each vertex.
When applied to Euclidean space, the tessellation is most often assumed to be by polyhedra.
Examples of 3D regular tessellations are those of layers of right prisms according to the three regular tessellations in 2D; that with square cuboids is in a way the most regular, especially with cubes, because then it is congruent in three independent directions.
www.baghdadmuseum.org /ref?title=Uniform_tessellation   (266 words)

  
 Octahedron - Wikipedia
This is the only such tiling save the regular tessellation of cubes, and is one of the five Andreini tessellations.
Another is a tessellation of octahedra and cuboctahedra.
This page was last modified 03:32, 20 December 2001.
nostalgia.wikipedia.org /wiki/Octahedron   (247 words)

  
 Uniform tessellation: Encyclopedia topic   (Site not responding. Last check: 2007-09-18)
When applied to Euclidean space (Euclidean space: A space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional), the tessellation is most often assumed to be by polyhedra (polyhedra: in older (and still current) mathematics, a polyhedron (from greek πολυεδρον,...
When applied to surfaces, uniform tessellations are an important notion for NURBS (NURBS: nurbs, short for nonuniform rational b-spline, is a computer graphics technique...
See also: Andreini tessellation (Andreini tessellation: more facts about this subject)
www.absoluteastronomy.com /reference/uniform_tessellation   (81 words)

  
 Middle East Open Encyclopedia: Andreini tessellation   (Site not responding. Last check: 2007-09-18)
This is an extract from The Middle East Open Encyclopedia, made possible through the Wikimedia Foundation.
Iraq Museum International always displays the most recent published revision of the source article, Andreini tessellation; all previous versions may be viewed here.
They link directly to authoring tools for you to start writing a particular article.
www.baghdadmuseum.org /ref?title=Andreini_tessellation   (739 words)

  
 Tetrahedron - Psychology Central   (Site not responding. Last check: 2007-09-18)
However, two regular tetrahedra can be combined with an octahedron, giving a rhombohedron which can tile space.
This is one of the five Andreini tessellations, and is a limiting case of another, a tiling involving tetrahedra and truncated tetrahedra.
However, there is at least one irregular tetrahedron of which copies can tile space.
psychcentral.com /psypsych/Tetrahedron   (1099 words)

  
 Tetrahedron: Encyclopedia topic   (Site not responding. Last check: 2007-09-18)
In fact, octahedra are necessary to fill some of the gaps.
This is one of the five Andreini tessellation (Andreini tessellation: more facts about this subject) s, and is a limiting case of another, a tiling involving tetrahedra and truncated tetrahedra (truncated tetrahedra: the truncated tetrahedron is an archimedean solid....
However, irregular tetrahedra can tile space by themselves.
www.absoluteastronomy.com /reference/tetrahedron   (641 words)

  
 Andreini tessellation   (Site not responding. Last check: 2007-09-18)
The tiling of octahedra and tetrahedra is special importance since its vertices form a close-packing of spheres.
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Mr Andreini's insights helped give me "THE FORMULA" to cultivating customers to unbelievable success.
www.freeglossary.com /Andreini_tessellation   (257 words)

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