Antiprism uniform ( surface area )

Description

In geometry, an n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of triangles.
Antiprisms are similar to prisms except the bases are twisted relative to each other, and that the side faces are triangles, rather than quadrilaterals. A right antiprism has two n-gonal bases and, connecting those bases, 2n isosceles triangles.
A uniform antiprism is a right antiprism that has, apart from the n- gonal base faces, 2n equilateral triangles as faces. The surface area of a uniform antiprism is related to the edge- length.

Related formulas

Variables

AArea of the antiprism (m2)
nNumber of the sides of the antiprism (dimensionless)
πpi
a The edge-length (m)