26 Hata Map (stop_motion)

3D Model

a, b, c, d = (0.7+0.2j, 0, 0, 2/3) to (2/3-0.5j, 0, -0.25+0.5j, 0) to (0, 0.3+0.3j, 0, 0.82)

def hata_map_f1(a, b):
    return lambda z:(a*z + b*z.conjugate())
def hata_map_f2(c, d):
    return lambda z:(c*(z - 1) + d*(z.conjugate() - 1) + 1)

References

H. Masayoshi, “Fractals in Mathematics,” Patterns and Waves, (eds. T. Nishida, M. Mimura and H. Fujii), 18, (1986) 259-278.