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Deltoidal icositetrahedron

Index Deltoidal icositetrahedron

In geometry, a deltoidal icositetrahedron (also a trapezoidal icositetrahedron, tetragonal icosikaitetrahedron,, tetragonal trisoctahedron and strombic icositetrahedron) is a Catalan solid. [1]

30 relations: Analcime, Cambridge University Press, Catalan solid, Compound of cube and octahedron, Conway polyhedron notation, Crystal habit, Crystallography, Cube, Cubic honeycomb, Deltoidal hexecontahedron, Dihedral angle, Dual polyhedron, Garnet, Geometry, Great triakis octahedron, Hyperbolic space, Isohedral figure, Kite (geometry), List of finite spherical symmetry groups, Net (polyhedron), Octahedral symmetry, Octahedron, Orbifold notation, Rhombicuboctahedron, Solid geometry, Tetrahedral symmetry, Tetrakis hexahedron, The Haunter of the Dark, Trapezohedron, Vertex configuration.

Analcime

Analcime or analcite (from the Greek analkimos - "weak") is a white, gray, or colorless tectosilicate mineral.

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Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

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Catalan solid

In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid.

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Compound of cube and octahedron

This polyhedron can be seen as either a polyhedral stellation or a compound.

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Conway polyhedron notation

In geometry, Conway polyhedron notation, invented by John Horton Conway and promoted by George W. Hart, is used to describe polyhedra based on a seed polyhedron modified by various prefix operations.

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Crystal habit

In mineralogy, crystal habit is the characteristic external shape of an individual crystal or crystal group.

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Crystallography

Crystallography is the experimental science of determining the arrangement of atoms in crystalline solids (see crystal structure).

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Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

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Cubic honeycomb

The cubic honeycomb or cubic cellulation is the only regular space-filling tessellation (or honeycomb) in Euclidean 3-space, made up of cubic cells.

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Deltoidal hexecontahedron

In geometry, a deltoidal hexecontahedron (also sometimes called a trapezoidal hexecontahedron, a strombic hexecontahedron, or a tetragonal hexacontahedron) is a Catalan solid which is the dual polyhedron of the rhombicosidodecahedron, an Archimedean solid.

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Dihedral angle

A dihedral angle is the angle between two intersecting planes.

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Dual polyhedron

In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.

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Garnet

Garnets are a group of silicate minerals that have been used since the Bronze Age as gemstones and abrasives.

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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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Great triakis octahedron

In geometry, the great triakis octahedron is the dual of the stellated truncated hexahedron (U19).

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Hyperbolic space

In mathematics, hyperbolic space is a homogeneous space that has a constant negative curvature, where in this case the curvature is the sectional curvature.

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Isohedral figure

In geometry, a polytope of dimension 3 (a polyhedron) or higher is isohedral or face-transitive when all its faces are the same.

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Kite (geometry)

In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.

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List of finite spherical symmetry groups

Finite spherical symmetry groups are also called point groups in three dimensions.

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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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Octahedral symmetry

A regular octahedron has 24 rotational (or orientation-preserving) symmetries, and a symmetry order of 48 including transformations that combine a reflection and a rotation.

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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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Orbifold notation

In geometry, orbifold notation (or orbifold signature) is a system, invented by William Thurston and popularized by the mathematician John Conway, for representing types of symmetry groups in two-dimensional spaces of constant curvature.

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Rhombicuboctahedron

In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces.

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Solid geometry

In mathematics, solid geometry is the traditional name for the geometry of three-dimensional Euclidean space.

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Tetrahedral symmetry

A regular tetrahedron, an example of a solid with full tetrahedral symmetry A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection and a rotation.

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Tetrakis hexahedron

In geometry, a tetrakis hexahedron (also known as a tetrahexahedron, hextetrahedron, tetrakis cube, and kiscube) is a Catalan solid.

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The Haunter of the Dark

"The Haunter of the Dark" is a horror short story by American author H. P. Lovecraft, written in November 1935 and published in the December 1936 edition of Weird Tales (Vol. 28, No. 5, p. 538–53).

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Trapezohedron

The n-gonal trapezohedron, antidipyramid, antibipyramid or deltohedron is the dual polyhedron of an n-gonal antiprism.

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Vertex configuration

In geometry, a vertex configuration by Walter Steurer, Sofia Deloudi, (2009) pp.

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Redirects here:

Diploid (crystallography), Dyakis dodecahedron, Square icositetrahedron, Strombic icositetrahedron, Tetragonal icosikaitetrahedron, Trapezoidal icositetrahedron.

References

[1] https://en.wikipedia.org/wiki/Deltoidal_icositetrahedron

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