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 ...
, the dodecagonal prism is the tenth in an infinite set of
prisms, formed by square sides and two regular
dodecagon
In geometry, a dodecagon or 12-gon is any twelve-sided polygon.
Regular dodecagon
A regular dodecagon is a figure with sides of the same length and internal angles of the same size. It has twelve lines of reflective symmetry and rotational sym ...
caps.
If faces are all regular, it is a
uniform polyhedron
In geometry, a uniform polyhedron has regular polygons as faces and is vertex-transitive (i.e., there is an isometry mapping any vertex onto any other). It follows that all vertices are congruent.
Uniform polyhedra may be regular (if also ...
.
Use
It is used in the construction of two prismatic
uniform honeycombs:
The new
British one pound (£1) coin, which entered
circulation in March 2017, is shaped like a dodecagonal prism.
Related polyhedra
References
External links
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Prismatoid polyhedra
Zonohedra
{{Polyhedron-stub