Duotruncatoalterprism

A duotruncatoalterprism is an isogonal polytope formed from the convex hull of two orthogonal duoprisms where one base is a truncated version of the other, in such a way that a ring of alternating polygons is formed. They are closely related to the duoexpandoprisms and duotruncatoprisms, and are somewhere in between these two families. The simplest possible duotruncatoalterprism is the triangular duotruncatoalterprism, which is the convex hull of two orthogonal triangular-hexagonal duoprisms. The dual of a duotruncatoalterprism is a duotruncatoaltertegum.

Unlike the duoexpandoprisms, which have the expanded hypercube as its only uniform solution, there are no uniform duotruncatoalterprisms.

The 4D duotruncatoalterprisms have one ring of 2n n-gonal prisms and a second ring of 4n n-gonal cupolas in alternating orientations,, connected by a layer of tetragonal disphenoids and rectangular trapezoprisms. Their vertex figures are variations of a polyhedron formed by augmenting a pyramid onto one of the side faces of a tetragonal pyramid.