Decagonal prism

The decagonal prism, or dip, is a prismatic uniform polyhedron. It consists of 2 decagons and 10 squares. Each vertex joins one decagon and two squares. As the name suggests, it is a prism based on a decagon.

Vertex coordinates
A decagonal prism of edge length 1 has vertex coordinates given by:
 * (±1/2, ±$\sqrt{7+2√5}$/2, ±1/2)
 * (±(3+$\sqrt{5+2√5}$)/4, ±$\sqrt{(5+√5)/2}$, ±1/2)
 * (±(1+$\sqrt{2}$)/2, 0, ±1/2)

Related polyhedra
A number of Johnson solids can be formed by attaching various configurations of pentagonal cupolas and pentagonal rotundas to the bases of the decagonal prism:


 * Elongated pentagonal cupola - Cupola attached to one base
 * Elongated pentagonal rotunda - Rotunda attached to one base
 * Elongated pentagonal orthobicupola - Cupolas in same orientation attached to both bases
 * Elongated pentagonal gyrobicupola - Cupolas rotated by 36º attached to bases
 * Elongated pentagonal orthocupolarotunda - Cpuola attached to one base, rotunda with same pentagon orientation attached to other base
 * Elongated pentagonal gyrocupolarotunda - Cupola attached to one base, rotunda with pentagon rotated by 36º attached to other base
 * Elongated pentagonal orthobirotunda - Rotundas in same orientation attached to both bases
 * Elongated pentagonal gyrobirotunda - Rotundas rotated by 36º attached to bases