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25 relations: American Mathematical Monthly, Antiprism, Congruence (geometry), Convex hull, Convex polytope, Convex set, Császár polyhedron, David Eppstein, Diagonal, Dihedral angle, Discrete & Computational Geometry, Equilateral triangle, Erich Schönhardt, Geometry, Jessen's icosahedron, Manifold, Matching (graph theory), Mathematische Annalen, NP-completeness, Octahedron, Polyhedron, Regular icosahedron, Tetrahedron, Translation (geometry), Triangulation (geometry).
American Mathematical Monthly
The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.
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Antiprism
In geometry, an n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of triangles.
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Congruence (geometry)
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
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Convex hull
In mathematics, the convex hull or convex envelope or convex closure of a set X of points in the Euclidean plane or in a Euclidean space (or, more generally, in an affine space over the reals) is the smallest convex set that contains X. For instance, when X is a bounded subset of the plane, the convex hull may be visualized as the shape enclosed by a rubber band stretched around X., p. 3.
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Convex polytope
A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.
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Convex set
In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.
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Császár polyhedron
In geometry, the Császár polyhedron is a nonconvex polyhedron, topologically a toroid, with 14 triangular faces.
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David Eppstein
David Arthur Eppstein (born 1963) is an American computer scientist and mathematician.
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Diagonal
In geometry, a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge.
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Dihedral angle
A dihedral angle is the angle between two intersecting planes.
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Discrete & Computational Geometry
Discrete & Computational Geometry is a peer-reviewed mathematics journal published quarterly by Springer.
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Equilateral triangle
In geometry, an equilateral triangle is a triangle in which all three sides are equal.
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Erich Schönhardt
Erich Schönhardt (born 25 June 1891 in Stuttgart, Germany, died 29 November 1979 in Stuttgart).
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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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Jessen's icosahedron
Jessen's icosahedron, sometimes called Jessen's orthogonal icosahedron, is a non-convex polyhedron with the same number of vertices, edges and faces as the regular icosahedron.
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Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
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Matching (graph theory)
In the mathematical discipline of graph theory, a matching or independent edge set in a graph is a set of edges without common vertices.
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Mathematische Annalen
Mathematische Annalen (abbreviated as Math. Ann. or, formerly, Math. Annal.) is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann.
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NP-completeness
In computational complexity theory, an NP-complete decision problem is one belonging to both the NP and the NP-hard complexity classes.
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Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
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Polyhedron
In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.
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Regular icosahedron
In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices.
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Tetrahedron
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
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Translation (geometry)
In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.
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Triangulation (geometry)
In geometry, a triangulation is a subdivision of a planar object into triangles, and by extension the subdivision of a higher-dimension geometric object into simplices.
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References
[1] https://en.wikipedia.org/wiki/Schönhardt_polyhedron
