but the formula's fractal set is very sensitive to even small changes of the formula.

In the table below are scaling variants of this formula.
Explanation: scaling is: scaleFactor*f(z) + c
The start value is s = 1.0.
ScaleFactor | Quadruple | Remark |
1.0 |
![]() |
click on image to get a bigger version without scaling a quadruple bead |
1.0 |
![]() |
without scaling and mathematical rendering |
0.9 |
![]() |
close-by there are still beads, but with a different surrounding |
0.1 |
![]() |
quadruple novas |
-0.65 |
![]() |
fourfold symmetry |