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1 22 polytope and Hessian polyhedron

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

Difference between 1 22 polytope and Hessian polyhedron

1 22 polytope vs. Hessian polyhedron

In 6-dimensional geometry, the 122 polytope is a uniform polytope, constructed from the E6 group. In geometry, the Hessian polyhedron is a regular complex polyhedron 333,, in \mathbb^3.

Similarities between 1 22 polytope and Hessian polyhedron

1 22 polytope and Hessian polyhedron have 16 things in common (in Unionpedia): Complex polytope, Complex reflection group, Configuration (polytope), Coxeter element, Coxeter–Dynkin diagram, Dodecagon, Geometry, Harold Scott MacDonald Coxeter, Octahedron, Orthographic projection, Petrie polygon, Rectification (geometry), Schläfli symbol, Tetrahedron, Vertex figure, 2 21 polytope.

Complex polytope

In geometry, a complex polytope is a generalization of a polytope in real space to an analogous structure in a complex Hilbert space, where each real dimension is accompanied by an imaginary one.

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Complex reflection group

In mathematics, a complex reflection group is a finite group acting on a finite-dimensional complex vector space that is generated by complex reflections: non-trivial elements that fix a complex hyperplane pointwise.

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Configuration (polytope)

In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.

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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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Dodecagon

In geometry, a dodecagon or 12-gon is any twelve-sided polygon.

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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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Octahedron

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

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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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Petrie polygon

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.

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Rectification (geometry)

In Euclidean geometry, rectification or complete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.

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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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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.

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2 21 polytope

In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group.

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The list above answers the following questions

1 22 polytope and Hessian polyhedron Comparison

1 22 polytope has 47 relations, while Hessian polyhedron has 28. As they have in common 16, the Jaccard index is 21.33% = 16 / (47 + 28).

References

This article shows the relationship between 1 22 polytope and Hessian polyhedron. To access each article from which the information was extracted, please visit:

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