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1 42 polytope and Petrie polygon

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

Difference between 1 42 polytope and Petrie polygon

1 42 polytope vs. Petrie polygon

In 8-dimensional geometry, the 142 is a uniform 8-polytope, constructed within the symmetry of the E8 group. In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon in which every (n – 1) consecutive sides (but no n) belongs to one of the facets.

Similarities between 1 42 polytope and Petrie polygon

1 42 polytope and Petrie polygon have 10 things in common (in Unionpedia): Coxeter element, Coxeter group, Geometry, Harold Scott MacDonald Coxeter, Octahedron, Projection (linear algebra), Regular polygon, Tetrahedron, 16-cell, 5-cell.

Coxeter element

In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.

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Coxeter group

In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).

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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.

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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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Projection (linear algebra)

In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.

1 42 polytope and Projection (linear algebra) · Petrie polygon and Projection (linear algebra) · See more »

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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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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16-cell

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

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5-cell

In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.

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The list above answers the following questions

1 42 polytope and Petrie polygon Comparison

1 42 polytope has 49 relations, while Petrie polygon has 50. As they have in common 10, the Jaccard index is 10.10% = 10 / (49 + 50).

References

This article shows the relationship between 1 42 polytope and Petrie polygon. To access each article from which the information was extracted, please visit:

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