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Rectified 600-cell and Truncated 120-cells

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

Difference between Rectified 600-cell and Truncated 120-cells

Rectified 600-cell vs. Truncated 120-cells

In geometry, the rectified 600-cell or rectified hexacosichoron is a convex uniform 4-polytope composed of 600 regular octahedra and 120 icosahedra cells. In geometry, a truncated 120-cell is a uniform 4-polytope formed as the truncation of the regular 120-cell.

Similarities between Rectified 600-cell and Truncated 120-cells

Rectified 600-cell and Truncated 120-cells have 19 things in common (in Unionpedia): Convex polytope, Coxeter element, Coxeter group, Coxeter–Dynkin diagram, Geometry, Icosahedron, Isogonal figure, John Horton Conway, Michael Guy, Net (polyhedron), Norman Johnson (mathematician), Orthographic projection, Schläfli symbol, Schlegel diagram, Stereographic projection, Uniform 4-polytope, Vertex figure, 120-cell, 600-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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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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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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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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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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Michael Guy

Michael J. T. Guy (born c.1942) is a British computer scientist and mathematician.

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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.

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Orthographic projection

Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.

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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.

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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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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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120-cell

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

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600-cell

In geometry, the 600-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

Rectified 600-cell and Truncated 120-cells Comparison

Rectified 600-cell has 33 relations, while Truncated 120-cells has 38. As they have in common 19, the Jaccard index is 26.76% = 19 / (33 + 38).

References

This article shows the relationship between Rectified 600-cell and Truncated 120-cells. To access each article from which the information was extracted, please visit:

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