In the far East Reach, beyond the last land, there are the fractal Fermion nodes.
Currently there is a notebook which implements a minimal Julia code which reproduces similar figures to those in the 2008 PRB.
Fermionic quantum criticality and the fractal nodal surface. Frank Krüger and Jan Zaanen. Phys. Rev. B 78, 035104 – Published 3 July 2008. https://doi.org/10.1103/PhysRevB.78.035104