Rectified decachoron

The rectified decachoron or redeca is a convex isogonal polychoron that consists of 10 rectified truncated tetrahedra and 30 tetragonal disphenoids. 3 rectified truncated tetrahedra and 2 tetragonal disphenoids join at each vertex. It can be formed by rectifying the decachoron.

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 3 times the length of the other edges.

The ratio between the longest and shortest edges is 1:$$\sqrt3$$ ≈ 1:1.73205.