Rectangular pyramid

The rectangular pyramid, or rectpy, is a pyramid based on a rectangle. As such it has 1 rectangle base and 2 pairs of isosceles triangles as sides, with 3 types of edges.

In vertex figures
Rectangular pyramids occur as vertex figures in 4 prismatic uniform polychora, the cuboctahedral prism, icosidodecahedral prism, dodecadodecahedral prism, and great icosidodecahedral prism. Although a few other polychora have rectangle-based pyramids as vertex figures, these generally tend to have the symmetry of isosceles trapezoidal pyramids instead.