Rectified heptagonal duoprism

The rectified heptagonal duoprism or rehedip is a convex isogonal polychoron that consists of 14 rectified heptagonal prisms and 49 tetragonal disphenoids. 3 rectified heptagonal prisms and 2 tetragonal disphenoids join at each vertex. It can be formed by rectifying the heptagonal duoprism.

It can also be formed as the convex hull of 2 oppositely oriented semi-uniform heptagonal duoprisms, where the edges of one heptagon are $$\frac{1}{\cos\frac\pi7} ≈ 1.10992$$ times as long as the edges of the other.

The ratio between the longest and shortest edges is 1:$$\frac{2\cos\frac\pi7}{\sqrt2}$$ ≈ 1:1.27416.