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Truncated tesseract and Uniform polytope

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

Difference between Truncated tesseract and Uniform polytope

Truncated tesseract vs. Uniform polytope

In geometry, a truncated tesseract is a uniform 4-polytope formed as the truncation of the regular tesseract. A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.

Similarities between Truncated tesseract and Uniform polytope

Truncated tesseract and Uniform polytope have 28 things in common (in Unionpedia): Bitruncation, Cantellated tesseract, Coxeter–Dynkin diagram, Cube, Face (geometry), Harold Scott MacDonald Coxeter, Hexagon, Hypercube, Isogonal figure, Norman Johnson (mathematician), Octagon, Octahedron, Rectified tesseract, Runcinated tesseracts, Schläfli symbol, Square, Tesseract, Tetrahedron, Triangle, Truncated cube, Truncated octahedron, Truncated tesseract, Truncated tetrahedron, Truncation (geometry), Uniform 4-polytope, Vertex figure, 16-cell, 24-cell.

Bitruncation

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

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Cantellated tesseract

In four-dimensional geometry, a cantellated tesseract is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular tesseract.

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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).

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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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Face (geometry)

In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.

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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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Hexagon

In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six-sided polygon or 6-gon.

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Hypercube

In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.

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

Octagon

In geometry, an octagon (from the Greek ὀκτάγωνον oktágōnon, "eight angles") is an eight-sided polygon or 8-gon.

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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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Rectified tesseract

In geometry, the rectified tesseract, rectified 8-cell is a uniform 4-polytope (4-dimensional polytope) bounded by 24 cells: 8 cuboctahedra, and 16 tetrahedra.

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Runcinated tesseracts

In four-dimensional geometry, a runcinated tesseract (or runcinated 16-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular tesseract.

Runcinated tesseracts and Truncated tesseract · Runcinated tesseracts and Uniform polytope · See more »

Schläfli symbol

In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.

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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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Tesseract

In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.

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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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Triangle

A triangle is a polygon with three edges and three vertices.

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Truncated cube

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

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Truncated octahedron

In geometry, the truncated octahedron is an Archimedean solid.

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Truncated tesseract

In geometry, a truncated tesseract is a uniform 4-polytope formed as the truncation of the regular tesseract.

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Truncated tetrahedron

In geometry, the truncated tetrahedron is an Archimedean solid.

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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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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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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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16-cell

In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.

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24-cell

In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.

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The list above answers the following questions

Truncated tesseract and Uniform polytope Comparison

Truncated tesseract has 42 relations, while Uniform polytope has 150. As they have in common 28, the Jaccard index is 14.58% = 28 / (42 + 150).

References

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

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