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Runcinated 5-cell and Tesseract

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

Difference between Runcinated 5-cell and Tesseract

Runcinated 5-cell vs. Tesseract

In four-dimensional geometry, a runcinated 5-cell is a convex uniform 4-polytope, being a runcination (a 3rd order truncation, up to face-planing) of the regular 5-cell. 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.

Similarities between Runcinated 5-cell and Tesseract

Runcinated 5-cell and Tesseract have 22 things in common (in Unionpedia): Charles Howard Hinton, Convex polytope, Coxeter element, Emanuel Lodewijk Elte, Face (geometry), Geometry, Harold Scott MacDonald Coxeter, Hexagonal prism, Hyperplane, Isogonal figure, Isotoxal figure, Net (polyhedron), Norman Johnson (mathematician), Orthographic projection, Prism (geometry), Runcinated 5-cell, Schläfli symbol, Schlegel diagram, Square, Stereographic projection, Tetrahedron, Vertex figure.

Charles Howard Hinton

Charles Howard Hinton (1853, United Kingdom – 30 April 1907, Washington D.C., United States) was a British mathematician and writer of science fiction works titled Scientific Romances.

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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.

Convex polytope and Runcinated 5-cell · Convex polytope and Tesseract · See more »

Coxeter element

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

Coxeter element and Runcinated 5-cell · Coxeter element and Tesseract · See more »

Emanuel Lodewijk Elte

Emanuel Lodewijk Elte (16 March 1881 in Amsterdam – 9 April 1943 in Sobibór) at joodsmonument.nl was a Dutch mathematician.

Emanuel Lodewijk Elte and Runcinated 5-cell · Emanuel Lodewijk Elte and Tesseract · See more »

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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Hexagonal prism

In geometry, the hexagonal prism is a prism with hexagonal base.

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Hyperplane

In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.

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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.

Net (polyhedron) and Runcinated 5-cell · Net (polyhedron) and Tesseract · See more »

Norman Johnson (mathematician)

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

Norman Johnson (mathematician) and Runcinated 5-cell · Norman Johnson (mathematician) and Tesseract · See more »

Orthographic projection

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

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Prism (geometry)

In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases.

Prism (geometry) and Runcinated 5-cell · Prism (geometry) and Tesseract · See more »

Runcinated 5-cell

In four-dimensional geometry, a runcinated 5-cell is a convex uniform 4-polytope, being a runcination (a 3rd order truncation, up to face-planing) of the regular 5-cell.

Runcinated 5-cell and Runcinated 5-cell · Runcinated 5-cell and Tesseract · See more »

Schläfli symbol

In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.

Runcinated 5-cell and Schläfli symbol · Schläfli symbol and Tesseract · See more »

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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Square

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.

Runcinated 5-cell and Square · Square and Tesseract · See more »

Stereographic projection

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

Runcinated 5-cell and Stereographic projection · Stereographic projection and Tesseract · See more »

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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Vertex figure

In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.

Runcinated 5-cell and Vertex figure · Tesseract and Vertex figure · See more »

The list above answers the following questions

Runcinated 5-cell and Tesseract Comparison

Runcinated 5-cell has 61 relations, while Tesseract has 83. As they have in common 22, the Jaccard index is 15.28% = 22 / (61 + 83).

References

This article shows the relationship between Runcinated 5-cell and Tesseract. To access each article from which the information was extracted, please visit:

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