Rectified small prismatodecachoron

The rectified small prismatodecachoron or respid is a convex isogonal polychoron that consists of 10 octahedra, 20 rectified triangular prisms, and 20 triangular antiprisms. 1 octahedron, 3 rectified triangular prisms, and 2 triangular antiprisms join at each vertex. It can be formed by rectifying the small prismatodecachoron.

It can also be formed as the convex hull of 2 oppositely oriented semi-uniform variants of the small rhombated pentachoron, where the edges of the octahedra are half the length of the other edges.

The ratio between the longest and shortest edges is 1:$$\sqrt2$$ ≈ 1:1.41421.