Real 2 dimensional projective plane Julia sets (papers 13 and 15)

Julia set on a sphere with antipodal symmetry

A Roman surface from the sphere

The unit circle is marked in each Julia set picture

Parameter space for degree 3 with successive blowups

Julia set with a Herman ring on RP(2). This map does not come from the parameter space shown here. Unit circle is the dotted black line and two critical orbits are shown in magenta. There are two attracting 2-cycles (one, under antipodal identification to RP(2)). See (5) and (13)