Bi-hecatonicosadiminished truncated hexacosichoron

The bi-hecatonicosadiminished truncated hexacosichoron or bhidtex is an isogonal polychoron with 120 pentagonal prisms, 120 pentagonal antiprisms, and 600 edge-diminished truncated tetrahedra. 1 pentagonal prism, 1 pentagonal antipris, and 5 edge-diminished truncated tetrahedra join at each vertex.

It can be constructed by removing the vertices two hexacosichora of edge length $$\sqrt{6+\sqrt5}$$ from a truncated hexacosichoron.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:2.