Laris I
From Ultrafractal Wiki
Laris I is a Fractal Formula in sam.ufm.
Contents |
What is it?
The Laris I formula is inspired by the "Barnsley" formula. It computes a parameter (p) at each iteration depending on the real part of z (ie if z is currently left or right from a vertical line). This parameter can be inserted in different way in a standard M-set (or Julia) formula. You can specify it's value left from the line and right from the line. It's also possible to make the parameter vary smoothly. In this case, it's value on the line must be specified.
This formula is interesting because of the great variety of spirals it can display.
Parameters
Formula type
Choose how you want p to perturb the standard M-set or Julia formula.
Inside mode
Specify how p vary left from the line. With the "Raw" mode, p equals "inside parameter" whenever it's left from the line. "Smooth" interpolate it linearily so that p equals "Middle parameter" on the line. "Very smooth" do basically the same thing with a more elaborated formula. "Mistake" is just a mistake that I found interesting...
Outside Mode
Works exactly the same as "Inside Mode", but is used when p falls on the right of the line.
Inside\Outside Spin
Multiply p by a factor exp(i*pi*<distance from the line>). This should twist the whole fractal.
Inside\Middle\Outside parameter
Value assigned to p left from\on\right from the line. See "Inside Mode".
Critical point
Enables you to move the line horizontally (the line will be x = <critical point>).
