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Great dodecahedron

Index Great dodecahedron

In geometry, the great dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol and Coxeter–Dynkin diagram of. [1]

26 relations: Alexander's Star, Binary Golay code, Compound of small stellated dodecahedron and great dodecahedron, Convex polytope, Coxeter–Dynkin diagram, Dodecadodecahedron, Dodecahedron, Excavated dodecahedron, Geometry, Icosahedron, Kepler–Poinsot polyhedron, Louis Poinsot, Net (polyhedron), Pentagram, Rubik's Cube, Schläfli symbol, Small complex icosidodecahedron, Small stellated dodecahedron, Spherical polyhedron, Stellation, Triakis icosahedron, Truncated great dodecahedron, Truncation (geometry), Uniform star polyhedron, Vertex arrangement, Wenzel Jamnitzer.

Alexander's Star

Alexander's Star is a puzzle similar to the Rubik's Cube, in the shape of a great dodecahedron.

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Binary Golay code

In mathematics and electronics engineering, a binary Golay code is a type of linear error-correcting code used in digital communications.

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Compound of small stellated dodecahedron and great dodecahedron

The compound of small stellated dodecahedron and great dodecahedron is a polyhedron compound where the great dodecahedron is interior to its dual, the small stellated dodecahedron.

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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.

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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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Dodecadodecahedron

In geometry, the dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U36.

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Dodecahedron

In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.

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Excavated dodecahedron

In geometry, the excavated dodecahedron is a star polyhedron having 60 equilateral triangular faces.

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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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Kepler–Poinsot polyhedron

In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.

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Louis Poinsot

Louis Poinsot (3 January 1777 – 5 December 1859) was a French mathematician and physicist.

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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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Pentagram

A pentagram (sometimes known as a pentalpha or pentangle or a star pentagon) is the shape of a five-pointed star drawn with five straight strokes.

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Rubik's Cube

Rubik's Cube is a 3-D combination puzzle invented in 1974 by Hungarian sculptor and professor of architecture Ernő Rubik.

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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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Small complex icosidodecahedron

In geometry, the small complex icosidodecahedron is a degenerate uniform star polyhedron.

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Small stellated dodecahedron

In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol.

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Spherical polyhedron

In mathematics, a spherical polyhedron or spherical tiling is a tiling of the sphere in which the surface is divided or partitioned by great arcs into bounded regions called spherical polygons.

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Stellation

In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure.

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Triakis icosahedron

In geometry, the triakis icosahedron (or kisicosahedron) is an Archimedean dual solid, or a Catalan solid.

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Truncated great dodecahedron

In geometry, the truncated great dodecahedron is a nonconvex uniform polyhedron, indexed as U37.

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Truncation (geometry)

In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.

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Uniform star polyhedron

In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron.

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Vertex arrangement

In geometry, a vertex arrangement is a set of points in space described by their relative positions.

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Wenzel Jamnitzer

Wenzel Jamnitzer (sometimes Jamitzer, or Wenzel Gemniczer) (1507/1508 – 19 December 1585) was a Northern Mannerist goldsmith, artist, and printmaker in etching, who worked in Nuremberg.

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Redirects here:

Excavated icosahedron, Gad (geometry).

References

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

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