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.

It can also be formed as the convex hull of 2 oppositely oriented semi-uniform variants of the great rhombated pentachoron, where if the great rhombated pentachora are of the form a3b3c3o, then c = b+3a. It is one of five polychora (including two transitional cases) formed from two great rhombated pentachora, and is the transitional point between the medial bicantitruncatodecachoron and great bicantitruncatodecachoron.

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