Sphairahedral approach to parameterize visible three dimensional quasi-fuchsian fractals

We introduce new fascinating fractal shapes which are natively embedded in the three dimensional space. These are quasispheres, that is, the limit sets of three dimensional quasifuchsian groups. There were only few examples of three dimensional quasifuchsian groups and there was no visualization of the limit sets of them. We construct a new family of three dimensional quasifuchsian groups in [Ahara, K., et al. (2002)]. We introduce rendered images of new quasispheres.