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In
geometry Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
, a snub dodecahedral prism or snub icosidodecahedral prism is a convex
uniform A uniform is a variety of clothing worn by members of an organization while participating in that organization's activity. Modern uniforms are most often worn by armed forces and paramilitary organizations such as police, emergency services, se ...
polychoron (four-dimensional polytope). It is one of 18 convex uniform polyhedral prisms created by using uniform
prism Prism usually refers to: * Prism (optics), a transparent optical component with flat surfaces that refract light * Prism (geometry), a kind of polyhedron Prism may also refer to: Science and mathematics * Prism (geology), a type of sedimentary ...
s to connect pairs of
Platonic solid In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges c ...
s or
Archimedean solid In geometry, an Archimedean solid is one of the 13 solids first enumerated by Archimedes. They are the convex uniform polyhedra composed of regular polygons meeting in identical vertices, excluding the five Platonic solids (which are composed ...
s in parallel
hyperplane In geometry, a hyperplane is a subspace whose dimension is one less than that of its ''ambient space''. For example, if a space is 3-dimensional then its hyperplanes are the 2-dimensional planes, while if the space is 2-dimensional, its hyper ...
s, in this case a pair of snub dodecahedra.


Alternative names

* Snub-icosidodecahedral dyadic prism (Norman W. Johnson) * Sniddip (Jonathan Bowers: for snub-dodecahedral prism) * Snub-icosidodecahedral hyperprism * Snub-dodecahedral prism * Snub-dodecahedral hyperprism


See also

*
Snub dodecahedral antiprism In geometry, a truncated icosidodecahedral prism or great rhombicosidodecahedral prism is a convex uniform 4-polytope (four-dimensional polytope). It is one of 18 convex uniform polyhedral prisms created by using uniform prisms to connect pairs ...
ht0,1,2,3, or - A related nonuniform polychoron


External links

* * 4-polytopes {{polychora-stub