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24-cell and Petrie polygon

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

Difference between 24-cell and Petrie polygon

24-cell vs. Petrie polygon

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

24-cell and Petrie polygon have 14 things in common (in Unionpedia): Cube, Dual polyhedron, Face (geometry), Geometry, Harold Scott MacDonald Coxeter, Icosahedron, Octahedron, Simple Lie group, Simplex, Symmetry group, Tesseract, 120-cell, 16-cell, 24-cell.

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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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.

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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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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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Icosahedron

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

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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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Simple Lie group

In group theory, a simple Lie group is a connected non-abelian Lie group G which does not have nontrivial connected normal subgroups.

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Simplex

In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.

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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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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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120-cell

In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.

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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

24-cell and Petrie polygon Comparison

24-cell has 82 relations, while Petrie polygon has 50. As they have in common 14, the Jaccard index is 10.61% = 14 / (82 + 50).

References

This article shows the relationship between 24-cell and Petrie polygon. To access each article from which the information was extracted, please visit:

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