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Octahedron and Runcinated 24-cells

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

Difference between Octahedron and Runcinated 24-cells

Octahedron vs. Runcinated 24-cells

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices. In four-dimensional geometry, a runcinated 24-cell is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular 24-cell.

Similarities between Octahedron and Runcinated 24-cells

Octahedron and Runcinated 24-cells have 13 things in common (in Unionpedia): Cartesian coordinate system, Coxeter element, Coxeter–Dynkin diagram, Geometry, Hexagonal prism, Icosahedron, Net (polyhedron), Projection (linear algebra), Schläfli symbol, Stereographic projection, Tetrahedron, Truncated octahedron, Truncated tetrahedron.

Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.

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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–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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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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Icosahedron

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

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Net (polyhedron)

In geometry a net of a polyhedron is an arrangement of edge-joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron.

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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.

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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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Stereographic projection

In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.

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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 octahedron

In geometry, the truncated octahedron is an Archimedean solid.

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Truncated tetrahedron

In geometry, the truncated tetrahedron is an Archimedean solid.

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The list above answers the following questions

Octahedron and Runcinated 24-cells Comparison

Octahedron has 105 relations, while Runcinated 24-cells has 43. As they have in common 13, the Jaccard index is 8.78% = 13 / (105 + 43).

References

This article shows the relationship between Octahedron and Runcinated 24-cells. To access each article from which the information was extracted, please visit:

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