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3-6 duoprism and 4-polytope

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

Difference between 3-6 duoprism and 4-polytope

3-6 duoprism vs. 4-polytope

In geometry of 4 dimensions, a 3-6 duoprism, a duoprism and 4-polytope resulting from the Cartesian product of a triangle and a hexagon. In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.

Similarities between 3-6 duoprism and 4-polytope

3-6 duoprism and 4-polytope have 16 things in common (in Unionpedia): Cartesian product, Convex polytope, Duocylinder, Duoprism, Geometry, Harold Scott MacDonald Coxeter, Isogonal figure, Isohedral figure, John Horton Conway, Norman Johnson (mathematician), Polytope, Regular 4-polytope, Schlegel diagram, Square, Tesseract, Vertex figure.

Cartesian product

In set theory (and, usually, in other parts of mathematics), a Cartesian product is a mathematical operation that returns a set (or product set or simply product) from multiple sets.

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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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Duocylinder

The duocylinder, or double cylinder, is a geometric object embedded in 4-dimensional Euclidean space, defined as the Cartesian product of two disks of respective radii r1 and r2: It is analogous to a cylinder in 3-space, which is the Cartesian product of a disk with a line segment.

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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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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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Harold Scott MacDonald Coxeter

Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.

3-6 duoprism and Harold Scott MacDonald Coxeter · 4-polytope and Harold Scott MacDonald Coxeter · See more »

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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Isohedral figure

In geometry, a polytope of dimension 3 (a polyhedron) or higher is isohedral or face-transitive when all its faces are the same.

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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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Norman Johnson (mathematician)

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

3-6 duoprism and Norman Johnson (mathematician) · 4-polytope and Norman Johnson (mathematician) · See more »

Polytope

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

3-6 duoprism and Polytope · 4-polytope and Polytope · See more »

Regular 4-polytope

In mathematics, a regular 4-polytope is a regular four-dimensional polytope.

3-6 duoprism and Regular 4-polytope · 4-polytope and Regular 4-polytope · See more »

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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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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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

3-6 duoprism and 4-polytope Comparison

3-6 duoprism has 28 relations, while 4-polytope has 83. As they have in common 16, the Jaccard index is 14.41% = 16 / (28 + 83).

References

This article shows the relationship between 3-6 duoprism and 4-polytope. To access each article from which the information was extracted, please visit:

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