Dodecagonal prism
Encyclopedia
In geometry
, the dodecagonal prism is the tenth in an infinite set of prisms
, formed by square sides and two regular dodecagon
caps.
If faces are all regular, it is a semiregular polyhedron
.
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
, the dodecagonal prism is the tenth in an infinite set of prisms
Prism (geometry)
In geometry, a prism is a polyhedron with an n-sided polygonal base, a translated copy , and n other faces joining corresponding sides of the two bases. All cross-sections parallel to the base faces are the same. Prisms are named for their base, so a prism with a pentagonal base is called a...
, formed by square sides and two regular dodecagon
Dodecagon
In geometry, a dodecagon is any polygon with twelve sides and twelve angles.- Regular dodecagon :It usually refers to a regular dodecagon, having all sides of equal length and all angles equal to 150°...
caps.
If faces are all regular, it is a semiregular polyhedron
Semiregular polyhedron
The term semiregular polyhedron is used variously by different authors.In its original definition, it is a polyhedron with regular faces and a symmetry group which is transitive on its vertices, which is more commonly referred to today as a uniform polyhedron...
.
Use
It is used in the construction of two prismatic uniform honeycombs: Omnitruncated triangular-hexagonal prismatic honeycomb Omnitruncated triangular-hexagonal prismatic honeycomb The omnitruncated triangular-hexagonal prismatic honeycomb is a space-filling tessellation in Euclidean 3-space. It is composed of dodecagonal prisms, hexagonal prisms, and cubes in a ratio of 1:2:3.... |
 Truncated hexagonal prismatic honeycomb Truncated hexagonal prismatic honeycomb The truncated hexagonal prismatic honeycomb is a space-filling tessellation in Euclidean 3-space. It is composed of dodecagonal prisms, and triangular prisms in a ratio of 1:2.... |