The compound of five truncated tetrahedra is a uniform polyhedron compound. It's composed of 5 truncated tetrahedra rotated around a common axis. It may be formed by truncating each of the tetrahedra in the compound of five tetrahedra. A far-enough truncation creates the compound of five octahedra. Its convex hull is a nonuniform snub dodecahedron. It could also be called a truncated chiricosahedron.
Cartesian coordinates for the vertices of this compound are all the cyclic permutations of
with an even number of minuses in the choices for 'ñ', where à= (1+)/2 is the golden ratio (sometimes written ÃÂ).