Rectangular trapezoprism

The rectangular trapezoprism is a variant of the cube with digonal antiprism symmetry. It is isogonal, with 2 orthogonal rectangles as bases connected by 4 isosceles trapezoids.

If the edges of the rectangles are equal, the result is a square prism.

A version with rectangles of side lengths 1 and $$1+\sqrt2$$ and lacing edges of length $$\sqrt2$$ occurs as an edge-alternation of the uniform octagonal prism.

Specific variants of the rectangular trapezoprism can be holo-alternated to form the altered stella octangula.

In vertex figures
A rectangular trapezoprism with base edges of lengths 1 and $$\sqrt2$$ and lacing edges of length $$\sqrt{2-\sqrt2}$$ occurs as the vertex figure of the antifrustary distetracontoctachoron.