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24-cell and Runcinated 24-cells

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

Difference between 24-cell and Runcinated 24-cells

24-cell vs. Runcinated 24-cells

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

24-cell and Runcinated 24-cells have 18 things in common (in Unionpedia): Convex polytope, F4 (mathematics), Geometry, Icosahedron, Isogonal figure, Isotoxal figure, Net (polyhedron), Norman Johnson (mathematician), Octahedron, Runcinated tesseracts, Schläfli symbol, Schlegel diagram, Snub 24-cell, Stereographic projection, Truncated 24-cells, Uniform 4-polytope, Vertex figure, 24-cell.

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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F4 (mathematics)

In mathematics, F4 is the name of a Lie group and also its Lie algebra f4.

24-cell and F4 (mathematics) · F4 (mathematics) and Runcinated 24-cells · See more »

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.

24-cell and Geometry · Geometry and Runcinated 24-cells · See more »

Icosahedron

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

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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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Isotoxal figure

In geometry, a polytope (for example, a polygon or a polyhedron), or a tiling, is isotoxal or edge-transitive if its symmetries act transitively on its edges.

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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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Norman Johnson (mathematician)

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

24-cell and Norman Johnson (mathematician) · Norman Johnson (mathematician) and Runcinated 24-cells · See more »

Octahedron

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

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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.

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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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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.

24-cell and Schlegel diagram · Runcinated 24-cells and Schlegel diagram · See more »

Snub 24-cell

In geometry, the snub 24-cell or snub disicositetrachoron is a convex uniform 4-polytope composed of 120 regular tetrahedral and 24 icosahedral cells.

24-cell and Snub 24-cell · Runcinated 24-cells and Snub 24-cell · See more »

Stereographic projection

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

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Truncated 24-cells

In geometry, a truncated 24-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 24-cell.

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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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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 Runcinated 24-cells Comparison

24-cell has 82 relations, while Runcinated 24-cells has 43. As they have in common 18, the Jaccard index is 14.40% = 18 / (82 + 43).

References

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

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