Wedge

The term wedge is often used generally to refer to any monostratic polytope with a sub-dimensional top base that isn't a pyramid. More specifically, it refers to a variant of the triangular prism with a base rectangle, opposite a top edge, with two isosceles triangles and two trapezoids as faces.

In vertex figures
Variants of the wedge by changing the two edges parallel to the top edge appear as the vertex figure of the nonuniform rectified decachoron, with an edge length of $\sqrt{3}$ for the aforementioned edges, and the nonuniform rectified tetracontoctachoron, with an edge length of $\sqrt{2+√2}$ for the aforementioned edges.

Variants of the wedge by changing the edge opposite to the square appear as the vertex figure of the nonuniform rectified n-gonal duoprisms. This vertex figure has an edge length of 1 for all other edges except for the 2 edges of length $\sqrt{2}$ parallel to the aforementioned edge, and has no corealmic realization.