Marching tetrahedra is an algorithm in the field of computer graphics to render implicit surfaces. It clarifies a minor ambiguity problem of the marching...
8 KB (996 words) - 02:01, 19 August 2024
the marching cubes algorithm was patented as United States Patent 4,710,876. Another similar algorithm was developed, called marching tetrahedra, in order...
13 KB (1,591 words) - 16:25, 6 June 2024
Isosurface (section Marching tetrahedra)
to marching cubes in order to resolve the possibility of ambiguity in it. The marching tetrahedra algorithm was developed as an extension to marching cubes...
7 KB (753 words) - 19:42, 14 September 2024
Tetrahedral molecular geometry (category Tetrahedra)
motif, the two tetrahedra share a common edge. The inorganic polymer silicon disulfide features an infinite chain of edge-shared tetrahedra. In a completely...
11 KB (1,197 words) - 18:18, 22 September 2024
Midsphere (redirect from Crelle's tetrahedra)
six-dimensional space of all tetrahedra (as parameterized by their six edge lengths). More precisely, Crelle's tetrahedra are exactly the tetrahedra formed by the centers...
25 KB (2,926 words) - 04:00, 14 August 2024
continuous framework of SiO4 silicon–oxygen tetrahedra, with each oxygen being shared between two tetrahedra, giving an overall chemical formula of SiO2...
61 KB (5,745 words) - 17:18, 21 October 2024
They share a common structure consisting of single chains of silica tetrahedra. Pyroxenes that crystallize in the monoclinic system are known as clinopyroxenes...
13 KB (1,476 words) - 22:03, 13 August 2024
and charge; in those cases, the [AlO4]5− tetrahedra form the same structures as do the unsubstituted tetrahedra, but their charge-balancing requirements...
109 KB (13,007 words) - 08:41, 16 October 2024
between two face-to-face hexagonal cavities formed by six joined silica tetrahedra present at the surface of the basal plane of a TOT layer (see the corresponding...
38 KB (4,359 words) - 15:30, 25 July 2024
more at a greater distance), surrounded by twelve SiO 4 tetrahedra and twelve AlO 4 tetrahedra. The silicon and aluminum atoms are located at the corners...
17 KB (1,811 words) - 09:40, 15 October 2024
tetrahedral sheets consist of silica tetrahedra, which are silicon ions surrounded by four oxygen ions. The tetrahedra each share three of their four oxygen...
38 KB (4,188 words) - 06:03, 21 October 2024
other tetrahedra, forming a hexagonal array in two dimensions. The fourth oxygen ion is not shared with another tetrahedron and all of the tetrahedra "point"...
26 KB (2,840 words) - 14:16, 31 July 2024
silicon ions in brittle micas. The tetrahedra share three of their four oxygen ions with neighbouring tetrahedra to produce a hexagonal sheet. The remaining...
42 KB (4,847 words) - 23:02, 15 October 2024
properties of multiferroic crystals". magnetooptics.phy.bme.hu. Rubin, Alan E. (March 1997). "Mineralogy of meteorite groups". Meteoritics & Planetary Science...
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density. In contrast to this, the densest known packing of truncated tetrahedra can have an exceptionally high packing fraction φ = 207/208 = 0.995192...
8 KB (853 words) - 05:40, 28 October 2024
bond angles. For example, four-coordinate polyhedra are classified as tetrahedra, while five-coordinate environments can be square pyramidal or trigonal...
21 KB (2,742 words) - 19:27, 20 October 2024
& Yao 2012. Coxeter & Greitzer 1967, pp. 18, 23–25. Kimberling, Clark (March 2008). "Twenty-one points on the nine-point circle". The Mathematical Gazette...
54 KB (6,397 words) - 11:19, 28 October 2024
sometimes called Meissner bodies or Meissner tetrahedra. Unsolved problem in mathematics: Are the two Meissner tetrahedra the minimum-volume three-dimensional...
7 KB (780 words) - 01:48, 22 December 2023
Feldspar (category Use British English from March 2021)
75). The structure of a feldspar crystal is based on aluminosilicate tetrahedra. Each tetrahedron consists of an aluminium or silicon ion surrounded by...
25 KB (2,434 words) - 03:45, 1 October 2024
attention, including ellipsoids, Platonic and Archimedean solids including tetrahedra, tripods (unions of cubes along three positive axis-parallel rays), and...
22 KB (2,676 words) - 21:01, 23 July 2024
Order-7 tetrahedral honeycomb (category Tetrahedra)
has seven tetrahedra {3,3} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many tetrahedra existing...
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replaced by an aluminium ion. The tetrahedra each share three of their four oxygen ions with neighboring tetrahedra to produce a hexagonal sheet. The...
16 KB (1,663 words) - 20:44, 18 January 2024
A kaleidocycle or flextangle is a flexible polyhedron connecting six tetrahedra (or disphenoids) on opposite edges into a cycle. If the faces of the disphenoids...
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Rectified 5-cell (category Wikipedia articles needing clarification from March 2020)
Each edge has one tetrahedron and two octahedra. Each vertex has two tetrahedra and three octahedra. In total it has 30 triangle faces, 30 edges, and...
12 KB (901 words) - 09:56, 24 September 2024
Felsic (category Articles with unsourced statements from March 2019)
protonated monomeric species, but by a tridimensional network of SiO44– tetrahedra connected to each other. Once released in water and hydrolyzed, these...
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600-cell (category Articles needing cleanup from March 2024)
It is the 4-dimensional analogue of the icosahedron, since it has five tetrahedra meeting at every edge, just as the icosahedron has five triangles meeting...
217 KB (28,933 words) - 08:41, 25 October 2024
his father as a basis for a proof of D. K. Kazarinoff's inequality for tetrahedra. In July 1948, Kazarinoff married Margaret Louise Koning. They had five...
15 KB (1,660 words) - 00:10, 27 April 2024
eight vertices that forms a cubic faceting, composed of two self-dual tetrahedra that makes it the simplest of five regular compounds. The cuboctahedron...
61 KB (6,217 words) - 15:33, 28 October 2024
found in beryls are formed of AlO6 octahedra, as well as BeO4 and SiO4 tetrahedra. The hexagonal chanels of red beryl are primarily unoccupied and no detectable...
12 KB (1,108 words) - 17:08, 26 October 2024
inosilicate (chain silicate) mineral, built around double chains of silica tetrahedra. These chains extend the length of the crystal and are bonded to their...
8 KB (793 words) - 11:35, 6 April 2024