Truncated decachoron

The truncated decachoron or tadeca is a convex isogonal polychoron that consists of 10 ditruncated tetrahedra and 30 tetragonal disphenoids. 1 tetragonal disphenoid and 3 ditruncated tetrahedra join at each vertex. It can be formed by truncating the decachoron.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\sqrt3$$ ≈ 1:1.73205. This variant uses regular hexagons as faces

It can also be formed as the convex hull of two oppositely-oriented semi-uniform variants of the great rhombated pentachoron of the form a3b3c3o, where if a = 1, then c = b+3.