First noble ditrapezoidal hexecontahedron

The  is a noble polyhedron. Its 60 congruent faces are mirror-symmetric hexagons meeting at congruent order-6 vertices. It is a faceting of a semi-uniform truncated icosahedron hull.

The ratio between the shortest and longest edges is 1:$$\frac{\sqrt{5+\sqrt5}}{2}$$ ≈ 1:1.34500.

Vertex coordinates
The coordinates of a are all even permutations of: plus all permutations of These are the same coordinates as the crossed kignathogrammic hexecontahedron, first kipentagrammic hexecontahedron, fourth kisombreroidal hexecontahedron, and second kisombreroidal hexecontahedron.
 * $$\left(5-\sqrt5,\,3-\sqrt5,\,0\right)$$,
 * $$\left(3-\sqrt5,\,2\sqrt5-2,\,\sqrt5-1\right)$$,
 * $$\left(2,\,2,\,2\sqrt5-4\right)$$.