I-Transformations of Zatanz and Zloglog1z - Ric's Fractal Exhibition
Home
Math Home
I-Transformation
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