File:Newton z3 -z 2 iterate-0.jpg

DescriptionNewton z3 -z 2 iterate-0.jpg	Deutsch: Farbcodierung der komplexen Ebene im Bereich ${\displaystyle [-3,2]\times [-1.875,1.875]i}$
Date	28 March 2008
Source	Deutsch: eigene Arbeit English: self made using a throw away program
Author	Georg-Johann Lay
Permission (Reusing this file)	Public domainPublic domainfalsefalse I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

The coloring function[edit]

${\displaystyle (H,S,V)\,=\,\left({\frac {1}{2}}\cdot \sin \left({\textstyle {\frac {1}{2}}}\arg z\right)\mod 1,\quad 1-\left(1-{\frac {1}{1+\ln(1+|z|^{3})}}\right)^{\!2}\!,\quad 1-{\frac {1}{1+5\ln(1+|z|)}}\right)}$

with

${\displaystyle (H,S,V)\,\in [0,1]^{3}}$

See also[edit]

• en:HSL and HSV