Triangular duoantitegum

The triangular duoantitegum, also known as the triangular-triangular duoantitegum, the 3 duoantitegum or the 3-3 duoantitegum, is a convex isochoric polychoron and member of the duoantitegum family with 18 elongated tetragonal disphenoids as cells. It is the second in an infinite family of isochoric triangular hosohedral swirlchora.

Each cell of this honeycomb has digonal antiprismatic symmetry, with 4 rhombi and 4 isosceles triangles for faces.

Isogonal derivatives
Substitution by vertices of these following elements will produce these convex isogonal polychora:
 * Elongated tetragonal disphenoid (18): Triangular duoantiprism
 * Rhombus (36): Hexagonal duoprism
 * Isosceles triangle (36): Triangular double gyroantiprismoid
 * Edge (12): Hexagonal duotegum
 * Edge (72): Hexagonal ditetragoltriate
 * Vertex (12): Hexagonal duotegum
 * Vertex (18): Triangular duoantiprism