In the following examples the Zatanz and the Zloglog1z set is shown with different I-Transformations.
Additionally for each one a Julia Set is shown with these I-Transformations.
i(z) Start value s Zatanz Zatanz Julia Start value s Zloglog1z Zloglog1z Julia Remark
- 0.0 0.171491 no I-Transformation
z*z 0.0 0.414115 julia double symmetry
z*z*z 0.0 0.555581 julia triple symmetry
z*z*z*z 0.0 0.643518 julia fourfold symmetry
exp(z) - infinity -1.763223 julia in a row
log(z) 1.0 1.187074 in a row
sin(z) 0.0 0.171491 julia in a row
asin(z) 0.0 -0.089509 in a row
tan(z) 0.0 0.171491 julia in a row
atan(z) 0.0 0.171491 in a row
sinh(z) 0.0 0.171491 julia in a row
asinh(z) 0.0 0.171491 in a row
tanh(z) 0.0 0.171491 julia in a row
atanh(z) 0.0 0.171491 in a row