Decagonal prism
Encyclopedia
In geometry
, the decagonal prism is the eighth in an infinite set of prisms
, formed by ten square
side faces and two regular decagon
caps. With twelve faces, it is one of many nonregular dodecahedra.
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 decagonal prism is the eighth 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 ten square
Square (geometry)
In geometry, a square is a regular quadrilateral. This means that it has four equal sides and four equal angles...
side faces and two regular decagon
Decagon
In geometry, a decagon is any polygon with ten sides and ten angles, and usually refers to a regular decagon, having all sides of equal length and each internal angle equal to 144°...
caps. With twelve faces, it is one of many nonregular dodecahedra.
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...
.
Uses
The decagonal prism exists as cells in two four-dimensional uniform polychoraUniform polychoron
In geometry, a uniform polychoron is a polychoron or 4-polytope which is vertex-transitive and whose cells are uniform polyhedra....
:
| Runcitruncated 120-cell |
Omnitruncated 120-cell |