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Rectified Prism
In geometry, a rectified prism (also rectified bipyramid) is one of an infinite set of polyhedra, constructed as a rectification (geometry), rectification of an ''n''-gonal prism (geometry), prism, truncating the vertices down to the midpoint of the original edges. In Conway polyhedron notation, it is represented as ''aPn'', an ambo-prism. The lateral squares or rectangular faces of the prism become squares or rhombic faces, and new isosceles triangle faces are truncations of the original vertices. Elements An ''n''-gonal form has 3''n'' vertices, 6''n'' edges, and 2+3''n'' faces: 2 regular ''n''-gons, ''n'' rhombi, and 2''n'' triangles. Forms The ''rectified square prism'' is the same as a semiregular cuboctahedron. Rectified star prisms also exist, like a 5/2 form: : Dual The dual of a ''rectified prism'' is a joined prism or joined bipyramid, in Conway polyhedron notation. The join operation adds vertices at the center of faces, and replaces edges with rhombic faces bet ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rectified Pentagonal Prism
Rectification has the following technical meanings: Mathematics * Rectification (geometry), truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points * Rectifiable curve, in mathematics * Rectifiable set, in mathematics Science * GHK flux equation#Rectification, in biology, a process in cell membranes Technology * Image rectification, adjustment of images to simplify stereo vision or to map images to a map coordinate system (GIS) * The function of a rectifier, a device that converts alternating electrical current to direct current * Rectified airspeed, a means of displaying the airspeed of high-speed aircraft * Rectification (chemical/process engineering), countercurrent distillation, a unit operation also used for the production of rectified spirit (see Distillation#Fractional distillation) Other uses * Rectification (law), an equitable legal remedy whereby a court orders a change in a written document to reflect what it sho ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rectified Octagonal Prism
Rectification has the following technical meanings: Mathematics * Rectification (geometry), truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points * Rectifiable curve, in mathematics * Rectifiable set, in mathematics Science * GHK flux equation#Rectification, in biology, a process in cell membranes Technology * Image rectification, adjustment of images to simplify stereo vision or to map images to a map coordinate system (GIS) * The function of a rectifier, a device that converts alternating electrical current to direct current * Rectified airspeed, a means of displaying the airspeed of high-speed aircraft * Rectification (chemical/process engineering), countercurrent distillation, a unit operation also used for the production of rectified spirit (see Distillation#Fractional distillation) Other uses * Rectification (law), an equitable legal remedy whereby a court orders a change in a written document to reflect what ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joined Hexagonal Prism
Join may refer to: * Join (law), to include additional counts or additional defendants on an indictment *In mathematics: ** Join (mathematics), a least upper bound of sets orders in lattice theory ** Join (topology), an operation combining two topological spaces ** Join (sigma algebra), a refinement of sigma algebras ** Join (algebraic geometry), a union of lines between two varieties *In computing: ** Join (relational algebra), a binary operation on tuples corresponding to the relation join of SQL *** Join (SQL), relational join, a binary operation on SQL and relational database tables *** join (Unix), a Unix command similar to relational join ** Join-calculus, a process calculus developed at INRIA for the design of distributed programming languages *** Join-pattern, generalization of Join-calculus *** Joins (concurrency library), a concurrent computing API from Microsoft Research * Join Network Studio of NENU, a non-profit organization of Northeast Normal University * Joins.com, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joined Square Prism
Join may refer to: * Join (law), to include additional counts or additional defendants on an indictment *In mathematics: ** Join (mathematics), a least upper bound of sets orders in lattice theory ** Join (topology), an operation combining two topological spaces ** Join (sigma algebra), a refinement of sigma algebras ** Join (algebraic geometry), a union of lines between two varieties *In computing: ** Join (relational algebra), a binary operation on tuples corresponding to the relation join of SQL *** Join (SQL), relational join, a binary operation on SQL and relational database tables *** join (Unix), a Unix command similar to relational join ** Join-calculus, a process calculus developed at INRIA for the design of distributed programming languages *** Join-pattern, generalization of Join-calculus *** Joins (concurrency library), a concurrent computing API from Microsoft Research * Join Network Studio of NENU, a non-profit organization of Northeast Normal University * Joins.com, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joined Triangular Prism
Join may refer to: * Join (law), to include additional counts or additional defendants on an indictment *In mathematics: ** Join (mathematics), a least upper bound of sets orders in lattice theory ** Join (topology), an operation combining two topological spaces ** Join (sigma algebra), a refinement of sigma algebras ** Join (algebraic geometry), a union of lines between two varieties *In computing: ** Join (relational algebra), a binary operation on tuples corresponding to the relation join of SQL *** Join (SQL), relational join, a binary operation on SQL and relational database tables *** join (Unix), a Unix command similar to relational join ** Join-calculus, a process calculus developed at INRIA for the design of distributed programming languages *** Join-pattern, generalization of Join-calculus *** Joins (concurrency library), a concurrent computing API from Microsoft Research * Join Network Studio of NENU, a non-profit organization of Northeast Normal University * Joins.com, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Herschel Graph
In graph theory, a branch of mathematics, the Herschel graph is a bipartite undirected graph with 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 cycle, a cycle passing through all its vertices. It is named after British astronomer Alexander Stewart Herschel, because of Herschel's studies of Hamiltonian cycles in polyhedral graphs (but not of this graph). Definition and properties The Herschel graph has three vertices of degree four and eight vertices of degree three. Each of the three pairs of degree-four vertices form a cycle of four vertices, in which they alternate with two of the degree-three vertices. Each of the two remaining degree-three vertices is adjacent to a degree-three vertex from each of these three cycles. The Herschel graph is a polyhedral graph; this means that it is a planar graph, one that can be drawn in the plane with none of its edges crossing, and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rhombic Dodecahedron
In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of 2 types. It is a Catalan solid, and the dual polyhedron of the cuboctahedron. Properties The rhombic dodecahedron is a zonohedron. Its polyhedral dual is the cuboctahedron. The long face-diagonal length is exactly times the short face-diagonal length; thus, the acute angles on each face measure arccos(), or approximately 70.53°. Being the dual of an Archimedean polyhedron, the rhombic dodecahedron is face-transitive, meaning the symmetry group of the solid acts transitively on its set of faces. In elementary terms, this means that for any two faces A and B, there is a rotation or reflection of the solid that leaves it occupying the same region of space while moving face A to face B. The rhombic dodecahedron can be viewed as the convex hull of the union of the vertices of a cube and an octahedron. The 6 vertices where 4 rhombi meet correspond t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joined Pentagonal Prism
Join may refer to: * Join (law), to include additional counts or additional defendants on an indictment *In mathematics: ** Join (mathematics), a least upper bound of sets orders in lattice theory ** Join (topology), an operation combining two topological spaces ** Join (sigma algebra), a refinement of sigma algebras ** Join (algebraic geometry), a union of lines between two varieties *In computing: ** Join (relational algebra), a binary operation on tuples corresponding to the relation join of SQL *** Join (SQL), relational join, a binary operation on SQL and relational database tables *** join (Unix), a Unix command similar to relational join ** Join-calculus, a process calculus developed at INRIA for the design of distributed programming languages *** Join-pattern, generalization of Join-calculus *** Joins (concurrency library), a concurrent computing API from Microsoft Research * Join Network Studio of NENU, a non-profit organization of Northeast Normal University * Joins.com, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rectified Pentagrammic Prism
Rectification has the following technical meanings: Mathematics * Rectification (geometry), truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points * Rectifiable curve, in mathematics * Rectifiable set, in mathematics Science * GHK flux equation#Rectification, in biology, a process in cell membranes Technology * Image rectification, adjustment of images to simplify stereo vision or to map images to a map coordinate system (GIS) * The function of a rectifier, a device that converts alternating electrical current to direct current * Rectified airspeed, a means of displaying the airspeed of high-speed aircraft * Rectification (chemical/process engineering), countercurrent distillation, a unit operation also used for the production of rectified spirit (see Distillation#Fractional distillation) Other uses * Rectification (law), an equitable legal remedy whereby a court orders a change in a written document to reflect what ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cuboctahedron
A cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such, it is a quasiregular polyhedron, i.e. an Archimedean solid that is not only vertex-transitive but also edge-transitive. It is radially equilateral. Its dual polyhedron is the rhombic dodecahedron. The cuboctahedron was probably known to Plato: Heron's ''Definitiones'' quotes Archimedes as saying that Plato knew of a solid made of 8 triangles and 6 squares. Synonyms *''Vector Equilibrium'' (Buckminster Fuller) because its center-to-vertex radius equals its edge length (it has radial equilateral symmetry). Fuller also called a cuboctahedron built of rigid struts and flexible vertices a ''jitterbug''; this object can be progressively transformed into an icosahedron, octahedron, and tetrahedron by folding along the diagonals of its square sid ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rectified Octagonal Prism Net
Rectification has the following technical meanings: Mathematics * Rectification (geometry), truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points * Rectifiable curve, in mathematics * Rectifiable set, in mathematics Science * GHK flux equation#Rectification, in biology, a process in cell membranes Technology * Image rectification, adjustment of images to simplify stereo vision or to map images to a map coordinate system (GIS) * The function of a rectifier, a device that converts alternating electrical current to direct current * Rectified airspeed, a means of displaying the airspeed of high-speed aircraft * Rectification (chemical/process engineering), countercurrent distillation, a unit operation also used for the production of rectified spirit (see Distillation#Fractional distillation) Other uses * Rectification (law), an equitable legal remedy whereby a court orders a change in a written document to reflect what ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rectified Hexagonal Prism Net
Rectification has the following technical meanings: Mathematics * Rectification (geometry), truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points * Rectifiable curve, in mathematics * Rectifiable set, in mathematics Science * GHK flux equation#Rectification, in biology, a process in cell membranes Technology * Image rectification, adjustment of images to simplify stereo vision or to map images to a map coordinate system (GIS) * The function of a rectifier, a device that converts alternating electrical current to direct current * Rectified airspeed, a means of displaying the airspeed of high-speed aircraft * Rectification (chemical/process engineering), countercurrent distillation, a unit operation also used for the production of rectified spirit (see Distillation#Fractional distillation) Other uses * Rectification (law), an equitable legal remedy whereby a court orders a change in a written document to reflect what ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
