After 15 years of wait, finally Kento Nakamura and Kazushi Ahara, the inventors of the "Sphairahedron fractal", released a working and open source code that can generate their fractal.
Tglad invented the Amazing Box in the attempt to replicate it, some years ago...
Thanks to a japanese guy called "soma-arc". (Is he on DeviantArt too? )
So to be able to finally explore the thingy go to:
The source code for the page, a WebGl fragmentarium-like code, can be found at: https://github.com/soma-arc/SphairahedronExperiment