Triangular-great enneagrammic duoprism

The triangular-great enneagrammic duoprism, also known as tagstedip or the 3-9/4 duoprism, is a uniform duoprism that consists of 9 triangular prisms and 3 great enneagrammic prisms, with 2 of each meeting at each vertex.

Coordinates
The coordinates of a triangular-great enneagrammic duoprism, centered at the origin and with edge length 2sin(4π/9), are given by:


 * (0, 2sin(4π/9)*$\sqrt{2}$/3, 1, 0),
 * (0, 2sin(4π/9)*$\sqrt{1/3+1/(4sin^{2}(4π/9))}$/3, cos(2π/9), ±sin(2π/9)),
 * (0, 2sin(4π/9)*$\sqrt{3}$/3, cos(4π/9), ±sin(4π/9)),
 * (0, 2sin(4π/9)*$\sqrt{3}$/3, –1/2, ±$\sqrt{3}$/2),
 * (0, 2sin(4π/9)*$\sqrt{3}$/3, cos(8π/9), ±sin(8π/9)),
 * (±sin(4π/9), –sin(4π/9)*$\sqrt{3}$/3, 1, 0),
 * (±sin(4π/9), –sin(4π/9)*$\sqrt{3}$/3, cos(2π/9), ±sin(2π/9)),
 * (±sin(4π/9), –sin(4π/9)*$\sqrt{3}$/3, cos(4π/9), ±sin(4π/9)),
 * (±sin(4π/9), –sin(4π/9)*$\sqrt{3}$/3, –1/2, ±$\sqrt{3}$/2),
 * (±sin(4π/9), –sin(4π/9)*$\sqrt{3}$/3, cos(8π/9), ±sin(8π/9)).