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46 relations: Area, Bisection, Branko Grünbaum, Chaim Goodman-Strauss, Circumscribed circle, Compass-and-straightedge construction, Constructible polygon, Coxeter element, Cyclic group, Decagon, Decagram (geometry), Demihypercube, Dihedral group, Directed graph, Dual polygon, Duoprism, Duopyramid, Euclidean tilings by convex regular polygons, Geometry, Golygon, Great grand 120-cell, Great icosahedral 120-cell, Harold Scott MacDonald Coxeter, Icosahedral 120-cell, Internal and external angles, Isogonal figure, Isotoxal figure, John Horton Conway, Pentagon, Petrie polygon, Polygon, Projection (linear algebra), Regular polygon, Schläfli symbol, Simplex, Small stellated 120-cell, Star polygon, Swastika, The Price Is Right (U.S. game show), Truncation (geometry), Vertex arrangement, Zonogon, 10-cube, 10-orthoplex, 4 21 polytope, 600-cell.
Area
Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane.
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Bisection
In geometry, bisection is the division of something into two equal or congruent parts, usually by a line, which is then called a bisector.
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Branko Grünbaum
Branko Grünbaum (ברנקו גרונבאום; born 2 October 1929) is a Yugoslavian-born mathematician and a professor emeritus at the University of Washington in Seattle.
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Chaim Goodman-Strauss
Chaim Goodman-Strauss (born June 1967 in Austin TX) is an American mathematician who works in convex geometry, especially aperiodic tiling.
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Circumscribed circle
In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon.
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Compass-and-straightedge construction
Compass-and-straightedge construction, also known as ruler-and-compass construction or classical construction, is the construction of lengths, angles, and other geometric figures using only an idealized ruler and compass.
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Constructible polygon
In mathematics, a constructible polygon is a regular polygon that can be constructed with compass and straightedge.
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Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
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Cyclic group
In algebra, a cyclic group or monogenous group is a group that is generated by a single element.
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Decagon
In geometry, a decagon is a ten-sided polygon or 10-gon.
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Decagram (geometry)
In geometry, a decagram is a 10-point star polygon.
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Demihypercube
In geometry, demihypercubes (also called n-demicubes, n-hemicubes, and half measure polytopes) are a class of n-polytopes constructed from alternation of an n-hypercube, labeled as hγn for being half of the hypercube family, γn.
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Dihedral group
In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections.
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Directed graph
In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is a set of vertices connected by edges, where the edges have a direction associated with them.
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Dual polygon
In geometry, polygons are associated into pairs called duals, where the vertices of one correspond to the edges of the other.
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Duoprism
In geometry of 4 dimensions or higher, a duoprism is a polytope resulting from the Cartesian product of two polytopes, each of two dimensions or higher.
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Duopyramid
In geometry of 4 dimensions or higher, a duopyramid or fusil is a polytope constructed by 2 orthogonal polytopes with edges connecting all pairs of vertices between the two.
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Euclidean tilings by convex regular polygons
Euclidean plane tilings by convex regular polygons have been widely used since antiquity.
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Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
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Golygon
A golygon is any polygon with all right angles (a rectilinear polygon) whose sides are consecutive integer lengths.
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Great grand 120-cell
In geometry, the great grand 120-cell or great grand polydodecahedron is a regular star 4-polytope with Schläfli symbol.
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Great icosahedral 120-cell
In geometry, the great icosahedral 120-cell, great polyicosahedron or great faceted 600-cell is a regular star 4-polytope with Schläfli symbol.
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Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
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Icosahedral 120-cell
In geometry, the icosahedral 120-cell, polyicosahedron, faceted 600-cell or icosaplex is a regular star 4-polytope with Schläfli symbol.
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Internal and external angles
In geometry, an angle of a polygon is formed by two sides of the polygon that share an endpoint.
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Isogonal figure
In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure.
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Isotoxal figure
In geometry, a polytope (for example, a polygon or a polyhedron), or a tiling, is isotoxal or edge-transitive if its symmetries act transitively on its edges.
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John Horton Conway
John Horton Conway FRS (born 26 December 1937) is an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.
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Pentagon
In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon.
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Petrie polygon
In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon in which every (n – 1) consecutive sides (but no n) belongs to one of the facets.
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Polygon
In elementary geometry, a polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or circuit.
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Projection (linear algebra)
In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.
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Regular polygon
In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
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Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
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Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
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Small stellated 120-cell
In geometry, the small stellated 120-cell or stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol.
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Star polygon
In geometry, a star polygon is a type of non-convex polygon.
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Swastika
The swastika (as a character 卐 or 卍) is a geometrical figure and an ancient religious icon from the cultures of Eurasia, where it has been and remains a symbol of divinity and spirituality in Indian religions, Chinese religions, Mongolian and Siberian shamanisms.
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The Price Is Right (U.S. game show)
The Price Is Right is an American television game show created by Bob Stewart, Mark Goodson and Bill Todman.
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Truncation (geometry)
In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.
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Vertex arrangement
In geometry, a vertex arrangement is a set of points in space described by their relative positions.
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Zonogon
In geometry, a zonogon is a centrally symmetric convex polygon.
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10-cube
In geometry, a 10-cube is a ten-dimensional hypercube.
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10-orthoplex
In geometry, a 10-orthoplex or 10-cross polytope, is a regular 10-polytope with 20 vertices, 180 edges, 960 triangle faces, 3360 octahedron cells, 8064 5-cells 4-faces, 13440 5-faces, 15360 6-faces, 11520 7-faces, 5120 8-faces, and 1024 9-faces.
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4 21 polytope
In 8-dimensional geometry, the 421 is a semiregular uniform 8-polytope, constructed within the symmetry of the E8 group.
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600-cell
In geometry, the 600-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
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Redirects here:
20 symmetry, 20-gon, Icosadecagram, Icosagram, Regular icosagon.
References
[1] https://en.wikipedia.org/wiki/Icosagon
