The centered polyhedral numbers are a class of figurate numbers, each formed by a central dot, surrounded by polyhedral layers with a constant number of edges. The length of the edges increases by one in each additional layer.
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The centeredpolyhedral numbers are a class of figurate numbers, each formed by a central dot, surrounded by polyhedral layers with a constant number of...
(polygonal numbers) and different dimensions (polyhedral numbers). The term can mean polygonal number a number represented as a discrete r-dimensional regular...
centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center...
is the number of points in a body-centered cubic pattern within a cube that has n + 1 points along each of its edges. The first few centered cube numbers...
A centered dodecahedral number is a centered figurate number that represents a dodecahedron. The centered dodecahedral number for a specific n is given...
A centered tetrahedral number is a centered figurate number that represents a tetrahedron. The centered tetrahedral number for a specific n is given by...
of a cuboctahedron, and are a magic number for the face-centered cubic lattice. The centered icosahedral number for a specific n {\displaystyle n} is...
hexagonal, square, and triangular. Centered polygonal numberPolyhedralnumber Fermat polygonal number theorem Conway, John H.; Guy, Richard (2012-12-06)...
(abbreviated cP and alternatively called simple cubic) Body-centered cubic (abbreviated cI or bcc) Face-centered cubic (abbreviated cF or fcc) Note: the term fcc...
In geometry, the polyhedral group is any of the symmetry groups of the Platonic solids. There are three polyhedral groups: The tetrahedral group of order...
upper surface, with each value being equally likely. Dice may also have polyhedral or irregular shapes, may have faces marked with numerals or symbols instead...
structural properties to traditional polyhedra. A classical polyhedral surface has a finite number of faces, joined in pairs along edges. The apeirohedra form...
A centered octahedral number or Haüy octahedral number is a figurate number that counts the points of a three-dimensional integer lattice that lie inside...
combinations is also a tetrahedral number, Ten−2 where n is the number of houses. Centered triangular number Baumann, Michael Heinrich (2018-12-12). "Die k-dimensionale...
is the first prime centered pentagonal number, and the fifth centered triangular number. The fifth pentagonal and tetrahedral number is 35, which is equal...
also with 240 vertices. Each complex Witting polytope is made of Hessian polyhedral cells that have Möbius–Kantor polygons as faces, each with eight vertices...
§12.6 The number of reflections, equation 12.61 Burban, Igor. "Du Val Singularities" (PDF). Coxeter, H. S. M. (1974), "7 The Binary Polyhedral Groups",...
quadratae secundae". The number of cubes in an octahedron formed by stacking centered squares is a centered octahedral number, the sum of two consecutive...
In geometry, a polyhedral compound is a figure that is composed of several polyhedra sharing a common centre. They are the three-dimensional analogs of...
and not based on a particular projection Polyhedral maps Polyhedral maps can be folded up into a polyhedral approximation to the sphere, using particular...
In chemistry the polyhedral skeletal electron pair theory (PSEPT) provides electron counting rules useful for predicting the structures of clusters such...
11 vertices and 18 edges. It is a polyhedral graph (the graph of a convex polyhedron), and is the smallest polyhedral graph that does not have a Hamiltonian...
cuboctahedron. The cube is topologically related to a series of spherical polyhedral and tilings with order-3 vertex figures. The cuboctahedron is one of a...
these shapes; however, these balls have rounded knobs rather than being polyhedral, the numbers of knobs frequently differed from the numbers of vertices...
produce testosterone in the presence of luteinizing hormone (LH). They are polyhedral in shape and have a large, prominent nucleus, an eosinophilic cytoplasm...
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