3-4 duoprism

In geometry of 4 dimensions, a 3-4 duoprism, the second smallest p-q duoprism, is a 4-polytope resulting from the Cartesian product of a triangle and a square.

The 3-4 duoprism exists in some of the uniform 5-polytopes in the B5 family.

has a real representation as a 3-4 duoprism in 4-dimensional space.

[1] The birectified 5-cube, has a uniform 3-4 duoprism vertex figure: The dual of a 3-4 duoprism is called a 3-4 duopyramid.

It has 12 digonal disphenoid cells, 24 isosceles triangular faces, 12 edges, and 7 vertices.

Stereographic projection of complex polygon, 3 {}× 4 {} has 12 vertices and 7 3-edges, shown here with 4 red triangular 3-edges and 3 blue square 4-edges.