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Small icosihemidodecacron

Index Small icosihemidodecacron

In geometry, the small icosihemidodecacron is the dual of the small icosihemidodecahedron, and is one of nine dual hemipolyhedra. [1]

14 relations: Cambridge University Press, Decagon, Dual polyhedron, Face (geometry), Geometry, Hemi-dodecahedron, Hemipolyhedron, Magnus Wenninger, Prism (geometry), Real projective plane, Small dodecahemidodecacron, Small icosihemidodecahedron, Stellation, Vertex (geometry).

Cambridge University Press

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

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Decagon

In geometry, a decagon is a ten-sided polygon or 10-gon.

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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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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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Hemi-dodecahedron

A hemi-dodecahedron is an abstract regular polyhedron, containing half the faces of a regular dodecahedron.

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Hemipolyhedron

In geometry, a hemipolyhedron is a uniform star polyhedron some of whose faces pass through its center.

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Magnus Wenninger

Father Magnus J. Wenninger OSB (October 31, 1919Banchoff (2002)– February 17, 2017) was an American mathematician who worked on constructing polyhedron models, and wrote the first book on their construction.

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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.

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Real projective plane

In mathematics, the real projective plane is an example of a compact non-orientable two-dimensional manifold; in other words, a one-sided surface.

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Small dodecahemidodecacron

In geometry, the small dodecahemidodecacron is the dual of the small dodecahemidodecahedron, and is one of nine dual hemipolyhedra.

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Small icosihemidodecahedron

In geometry, the small icosihemidodecahedron is a uniform star polyhedron, indexed as U49.

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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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Vertex (geometry)

In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.

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References

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

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