Welcome to Fractal Forums

Fractal Math, Chaos Theory & Research => (new) Theories & Research => Topic started by: cKleinhuis on March 11, 2013, 06:22:58 PM




Title: Burning Ship Variant
Post by: cKleinhuis on March 11, 2013, 06:22:58 PM
hi there, whilst playing with my iteration visualisation, i saw that the absolute value of the burning ship value
is an folding operation on both axis, and i checked what would happen if folding would only appear on the imaginary
part, and look what the result was

here is the formula in pseudo code, just applying the absolute value to the imaginary part
  ^-^
Code:
 
y.real=z.real
y.imag=abs(z.imag)
z=y^2+c



Title: Re: Burning Ship Variant
Post by: cKleinhuis on March 11, 2013, 06:27:51 PM
some more impressions from a first browse around in ultrafractal  :evil1:


Title: Re: Burning Ship Variant
Post by: cKleinhuis on March 11, 2013, 06:56:51 PM
i have updated my ultrafractal formulas, now you can explore it yourself ( i included a bunch of more formulas, especially some hybrids like ADD,MUL,DIV,SUB and mandelbox,burning ship standard and barnsley1..3 )

Code:
Fractal1 {
fractal:
  title="Fractal1" width=640 height=480 layers=1
  credits="ckleinhuix;3/11/2013"
layer:
  caption="Background" opacity=100 method=multipass
mapping:
  center=0/0 magn=1
formula:
  maxiter=1001 filename="Standard.ufm" entry="GenericFormula"
  p_formulaClass="ck.ulb:ck_BurningShipVariant"
  p_formulaClass.v_generic=100 p_formulaClass.v_formula=100
  p_formulaClass.v_divergentformula=100 p_formulaClass.start=0/0
  p_formulaClass.p_power=2/0 p_formulaClass.p_bailout=4
inside:
  transfer=none
outside:
  transfer=sqr
gradient:
  smooth=yes index=0 color=8716288 index=100 color=16121855 index=200
  color=46591 index=300 color=156
opacity:
  smooth=no index=0 opacity=255
}