Rectangular frustum

Rectangular frustum
Rank	3
Notation
Bowers style acronym	Rectif
Coxeter diagram	ab cd&#e
Elements
Faces	1+1 rectangles, 2+2 isosceles trapezoids
Edges	2+2+2+2+4
Vertices	4+4
Vertex figure	Scalene triangle
Measures (edge length 1)
Central density	1
Related polytopes
Dual	Digonal scalenohedron
Abstract & topological properties
Euler characteristic	2
Surface	Sphere
Orientable	Yes
Genus	0
Properties
Symmetry	A1×A1×I, order 4
Convex	Yes
Nature	Tame

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 ${\frac {{\sqrt {5}}-1}{2}}$ and ${\frac {1+{\sqrt {5}}}{2}}$, and lacing edges of length ${\sqrt {\frac {5-{\sqrt {5}}}{2}}}$ occurs as the vertex figure of the antifrustary hexacositrishecatonicosachoron.