Rectangular frustum

The rectangular frustum or rectif is a variant of the cube with digonal pyramidal symmetry. It has 2 opposite rectangles of different sizes as bases connected by 2+2 isosceles trapezoids in 2 pairs.

In vertex figures
A rectangular frustum with one base a square of edge length 1, the other base a rectangle with edge lengths $$\frac{\sqrt5-1}{2}$$ and $$\frac{1+\sqrt5}{2}$$, and lacing edges of length $$\sqrt{\frac{5-\sqrt5}{2}}$$ occurs as the vertex figure of the antifrustary hexacositrishecatonicosachoron.