Recursive Dodecahedral Frame

A dodecahedral frame, such that in the inner side of each face the same structure is copied in smaller size. The reduction factor is such that the inner dodecahedrons are tangent to each other.

It is modeled after an image I saw long time ago in a POV-Ray forum. I would love to give credit to its creator, but I do not remember where I saw it.

Three objects are provided for the first three recursion levels. I tried an extra level but the result is so entangled it is not attractive.

P