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Truncated cuboctahedral prism and Uniform 4-polytope

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

Difference between Truncated cuboctahedral prism and Uniform 4-polytope

Truncated cuboctahedral prism vs. Uniform 4-polytope

In geometry, a truncated cuboctahedral prism or great rhombicuboctahedral prism is a convex uniform polychoron (four-dimensional 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.

Similarities between Truncated cuboctahedral prism and Uniform 4-polytope

Truncated cuboctahedral prism and Uniform 4-polytope have 21 things in common (in Unionpedia): Alternation (geometry), Archimedean solid, Coxeter–Dynkin diagram, Cube, Geometry, Hexagonal prism, Hyperplane, Norman Johnson (mathematician), Octagonal prism, Octahedron, Platonic solid, Polytope, Prism (geometry), Schläfli symbol, Schlegel diagram, Snub cube, Square antiprism, Symmetry group, Tetrahedron, Truncated cuboctahedron, Vertex figure.

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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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 Truncated cuboctahedral prism · Coxeter–Dynkin diagram and Uniform 4-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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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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Hexagonal prism

In geometry, the hexagonal prism is a prism with hexagonal base.

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Hyperplane

In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.

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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 Truncated cuboctahedral prism · Norman Johnson (mathematician) and Uniform 4-polytope · See more »

Octagonal prism

In geometry, the octagonal prism is the sixth in an infinite set of prisms, formed by square sides and two regular octagon caps.

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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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Platonic solid

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

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Polytope

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

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Prism (geometry)

In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases.

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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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Schlegel diagram

In geometry, a Schlegel diagram is a projection of a polytope from R^d into R^ through a point beyond one of its facets or faces.

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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 antiprism

In geometry, the square antiprism is the second in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps.

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Symmetry group

In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.

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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 cuboctahedron

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

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Vertex figure

In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.

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The list above answers the following questions

Truncated cuboctahedral prism and Uniform 4-polytope Comparison

Truncated cuboctahedral prism has 24 relations, while Uniform 4-polytope has 145. As they have in common 21, the Jaccard index is 12.43% = 21 / (24 + 145).

References

This article shows the relationship between Truncated cuboctahedral prism and Uniform 4-polytope. To access each article from which the information was extracted, please visit:

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