Bicantisnub cubic honeycomb

The bicantisnub cubic honeycomb is an isogonal honeycomb that consists of pyritohedral icosahedra, triangular antiprisms, wedges, and isosceles trapezoidal pyramids. 1 pyritohedral icosahedron, 2 triangular antiprisms, 3 wedges, and 5 isosceles trapezoidal pyramids join at each vertex. It can be obtained as the convex hull of two opposite cantic snub cubic honeycombs or by alternating the transitional bicantitruncatocubic honeycomb. It cannot be made scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{5+3\sqrt{101}}{34}$$ ≈ 1:1.03381, and is therefore a near-miss uniform (scaliform) polyhedral honeycomb.