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Truncation (geometry) and Uniform polytope

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Truncation (geometry) and Uniform polytope

Truncation (geometry) vs. Uniform polytope

In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex. A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.

Similarities between Truncation (geometry) and Uniform polytope

Truncation (geometry) and Uniform polytope have 42 things in common (in Unionpedia): Alternation (geometry), Archimedean solid, Bitruncation, Cantellation (geometry), Conway polyhedron notation, Coxeter–Dynkin diagram, Cube, Cubic honeycomb, Cuboctahedron, Decagon, Dual polyhedron, Facet (geometry), Harold Scott MacDonald Coxeter, Heptagram, Icosahedron, Icosidodecahedron, Johannes Kepler, Johnson solid, Norman Johnson (mathematician), Octagram, Octahedron, Pentagon, Pentagram, Platonic solid, Polygon, Polytope, Rectification (geometry), Regular polygon, Regular polytope, Runcination, ..., Schläfli symbol, Snub cube, Square, Star polygon, Tetradecagon, Tetrahedron, Truncated cube, Truncated cuboctahedron, Truncated icosidodecahedron, Truncated octahedron, Uniform 4-polytope, Uniform polyhedron. Expand index (12 more) »

Alternation (geometry)

In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.

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Archimedean solid

In geometry, an Archimedean solid is one of the 13 solids first enumerated by Archimedes.

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Bitruncation

In geometry, a bitruncation is an operation on regular polytopes.

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Cantellation (geometry)

In geometry, a cantellation is an operation in any dimension that bevels a regular polytope at its edges and vertices, creating a new facet in place of each edge and vertex.

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Conway polyhedron notation

In geometry, Conway polyhedron notation, invented by John Horton Conway and promoted by George W. Hart, is used to describe polyhedra based on a seed polyhedron modified by various prefix operations.

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Coxeter–Dynkin diagram

In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes).

Coxeter–Dynkin diagram and Truncation (geometry) · Coxeter–Dynkin diagram and Uniform polytope · See more »

Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

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Cubic honeycomb

The cubic honeycomb or cubic cellulation is the only regular space-filling tessellation (or honeycomb) in Euclidean 3-space, made up of cubic cells.

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Cuboctahedron

In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.

Cuboctahedron and Truncation (geometry) · Cuboctahedron and Uniform polytope · See more »

Decagon

In geometry, a decagon is a ten-sided polygon or 10-gon.

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Dual polyhedron

In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.

Dual polyhedron and Truncation (geometry) · Dual polyhedron and Uniform polytope · See more »

Facet (geometry)

In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself.

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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.

Harold Scott MacDonald Coxeter and Truncation (geometry) · Harold Scott MacDonald Coxeter and Uniform polytope · See more »

Heptagram

A heptagram, septagram, septegram or septogram is a seven-point star drawn with seven straight strokes.

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Icosahedron

In geometry, an icosahedron is a polyhedron with 20 faces.

Icosahedron and Truncation (geometry) · Icosahedron and Uniform polytope · See more »

Icosidodecahedron

In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces.

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Johannes Kepler

Johannes Kepler (December 27, 1571 – November 15, 1630) was a German mathematician, astronomer, and astrologer.

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Johnson solid

In geometry, a Johnson solid is a strictly convex polyhedron, which is not uniform (i.e., not a Platonic solid, Archimedean solid, prism, or antiprism), and each face of which is a regular polygon.

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Norman Johnson (mathematician)

Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.

Norman Johnson (mathematician) and Truncation (geometry) · Norman Johnson (mathematician) and Uniform polytope · See more »

Octagram

In geometry, an octagram is an eight-angled star polygon.

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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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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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Pentagram

A pentagram (sometimes known as a pentalpha or pentangle or a star pentagon) is the shape of a five-pointed star drawn with five straight strokes.

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Platonic solid

In three-dimensional space, a Platonic solid is a regular, convex polyhedron.

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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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Polytope

In elementary geometry, a polytope is a geometric object with "flat" sides.

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Rectification (geometry)

In Euclidean geometry, rectification or complete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.

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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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Regular polytope

In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.

Regular polytope and Truncation (geometry) · Regular polytope and Uniform polytope · See more »

Runcination

In geometry, runcination is an operation that cuts a regular polytope (or honeycomb) simultaneously along the faces, edges and vertices, creating new facets in place of the original face, edge, and vertex centers.

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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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Snub cube

In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles.

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Square

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.

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Star polygon

In geometry, a star polygon is a type of non-convex polygon.

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Tetradecagon

In geometry, a tetradecagon or tetrakaidecagon or 14-gon is a fourteen-sided polygon.

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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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Truncated cube

In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid.

Truncated cube and Truncation (geometry) · Truncated cube and Uniform polytope · See more »

Truncated cuboctahedron

In geometry, the truncated cuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron.

Truncated cuboctahedron and Truncation (geometry) · Truncated cuboctahedron and Uniform polytope · See more »

Truncated icosidodecahedron

In geometry, the truncated icosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed by two or more types of regular polygon faces.

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Truncated octahedron

In geometry, the truncated octahedron is an Archimedean solid.

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Uniform 4-polytope

In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons.

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Uniform polyhedron

A uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).

Truncation (geometry) and Uniform polyhedron · Uniform polyhedron and Uniform polytope · See more »

The list above answers the following questions

Truncation (geometry) and Uniform polytope Comparison

Truncation (geometry) has 55 relations, while Uniform polytope has 150. As they have in common 42, the Jaccard index is 20.49% = 42 / (55 + 150).

References

This article shows the relationship between Truncation (geometry) and Uniform polytope. To access each article from which the information was extracted, please visit:

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