Marching tetrahedra is an algorithm in the field of computer graphics to render implicit surfaces. It clarifies a minor ambiguity problem of the marching...

the marching cubes algorithm was patented as United States Patent 4,710,876. Another similar algorithm was developed, called marching tetrahedra, in order...

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...

motif, the two tetrahedra share a common edge. The inorganic polymer silicon disulfide features an infinite chain of edge-shared tetrahedra. In a completely...

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...

continuous framework of SiO4 silicon–oxygen tetrahedra, with each oxygen being shared between two tetrahedra, giving an overall chemical formula of SiO2...

They share a common structure consisting of single chains of silica tetrahedra. Pyroxenes that crystallize in the monoclinic system are known as clinopyroxenes...

and charge; in those cases, the [AlO4]5− tetrahedra form the same structures as do the unsubstituted tetrahedra, but their charge-balancing requirements...

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...

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...

tetrahedral sheets consist of silica tetrahedra, which are silicon ions surrounded by four oxygen ions. The tetrahedra each share three of their four oxygen...

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"...

silicon ions in brittle micas. The tetrahedra share three of their four oxygen ions with neighbouring tetrahedra to produce a hexagonal sheet. The remaining...

properties of multiferroic crystals". magnetooptics.phy.bme.hu. Rubin, Alan E. (March 1997). "Mineralogy of meteorite groups". Meteoritics & Planetary Science...

density. In contrast to this, the densest known packing of truncated tetrahedra can have an exceptionally high packing fraction φ = 207/208 = 0.995192...

bond angles. For example, four-coordinate polyhedra are classified as tetrahedra, while five-coordinate environments can be square pyramidal or trigonal...

& Yao 2012. Coxeter & Greitzer 1967, pp. 18, 23–25. Kimberling, Clark (March 2008). "Twenty-one points on the nine-point circle". The Mathematical Gazette...

sometimes called Meissner bodies or Meissner tetrahedra. Unsolved problem in mathematics: Are the two Meissner tetrahedra the minimum-volume three-dimensional...

75). The structure of a feldspar crystal is based on aluminosilicate tetrahedra. Each tetrahedron consists of an aluminium or silicon ion surrounded by...

attention, including ellipsoids, Platonic and Archimedean solids including tetrahedra, tripods (unions of cubes along three positive axis-parallel rays), and...

has seven tetrahedra {3,3} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many tetrahedra existing...

replaced by an aluminium ion. The tetrahedra each share three of their four oxygen ions with neighboring tetrahedra to produce a hexagonal sheet. The...

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...

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...

protonated monomeric species, but by a tridimensional network of SiO44– tetrahedra connected to each other. Once released in water and hydrolyzed, these...

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...

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...

eight vertices that forms a cubic faceting, composed of two self-dual tetrahedra that makes it the simplest of five regular compounds. The cuboctahedron...

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...

inosilicate (chain silicate) mineral, built around double chains of silica tetrahedra. These chains extend the length of the crystal and are bonded to their...