The runcinated tesseract is a 4D polytope. Thanks to the cxhull package, I extracted all the tetrahedral cells from it, I rounded them and I plotted them with a 4D rotation and a stereographic projection. I really like the result.
Here with Python:
Again with Python but with a space background:
Here with R in 3D rotation:
Again with R but in 4D rotation:
And finally wit POV-Ray:
If you feel it, try to do it with Asymptote.