Truncated order-5 demicubic honeycomb

{{Infobox polytope }} The truncated order-5 demicubic honeycomb or tophac, also called the truncated alternated order-5 cubic honeycomb or cantic order-5 cubic honeycomb, is a compact uniform tiling of 3D hyperbolic space. 1 icosidodecahedron, 2 truncated icosahedra, and 2 truncated tetrahedra meet at each vertex. It can be derived by truncation of the order-5 demicubic honeycomb.
 * image = H3_5311-0110_center_ultrawide.png
 * dimensions = 4
 * type = Uniform, compact
 * space = Hyperbolic
 * coxeter = x3x3o *b5o ({CDD|nodes_10ru|split2|node_1|5|node}})
 * symmetry = [5,31,1]
 * obsa = Tophach
 * army = Tophach
 * reg = Tophach
 * vertfig = Rectangular pyramid, edge lengths 1, (1+$\sqrt{5}$)/2 (base rectangle) and $\sqrt{3}$ (sides) Truncated_alternated_order-5_cubic_honeycomb_verf.png
 * cells = 5N truncated tetrahedra, N icosidodecahedra, N truncated icosahedra
 * faces = 20N triangles, 12N pentagons, 20N hexagons
 * edges = 15N+60N
 * vertices = 30N
 * circum = $$\sqrt{\frac{-7-9\sqrt5}8} \approx 1.84135 i$$
 * dual =
 * convex = Yes
 * orientable = Yes

Representations
A truncated order-5 demicubic honeycomb has the following Coxeter diagrams:


 * x3x3o *b5o (main symmetry)
 * o5x3o4s (as alternated faceting)