Blend Formula

From Ultrafractal Wiki

Blend Formula is a Fractal Formula in ck.ucl.

The Beginning

Start with a default Blend Formula fractal.

BlendFormula_1 {
fractal:
  title="Blend Formula_1" width=600 height=450 layers=1
  credits="Don Berendsen;1/21/2009;c.Kleinhuis;1/20/2009"
layer:
  caption="Background" opacity=100
mapping:
  center=-0.5/0.006666667 magn=1
formula:
  maxiter=100 filename="Standard.ufm" entry="GenericFormula"
  p_formulaClass="ck.ulb:BlendFormula" p_formulaClass.v_generic=100
  p_formulaClass.v_formula=100 p_formulaClass.p_power=2/0
  p_formulaClass.formulaClass1="Standard.ulb:Standard_Mandelbrot"
  p_formulaClass.formulaClass1.v_generic=100
  p_formulaClass.formulaClass1.v_formula=100
  p_formulaClass.formulaClass1.v_divergentformula=100
  p_formulaClass.formulaClass1.start=0/0
  p_formulaClass.formulaClass1.p_power=2/0
  p_formulaClass.formulaClass1.p_bailout=4
  p_formulaClass.formulaClass2="Standard.ulb:Standard_Mandelbrot"
  p_formulaClass.formulaClass2.v_generic=100
  p_formulaClass.formulaClass2.v_formula=100
  p_formulaClass.formulaClass2.v_divergentformula=100
  p_formulaClass.formulaClass2.start=0/0
  p_formulaClass.formulaClass2.p_power=2/0
  p_formulaClass.formulaClass2.p_bailout=4
  p_formulaClass.interpolator="ck.ulb:ComplexInterpolator"
  p_formulaClass.interpolator.v_generic=100 p_formulaClass.blend=0.5
inside:
  transfer=none
outside:
  transfer=linear
gradient:
  comments="Default Ultra Fractal 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
}

Blend

This is the linear interpolation, value 0 means 100 percent formula 0 and 1 means 100% formula 2. The interesting points are every values in between 0 and 1. The second formula is simply Julia. Play around with the blend parameter

BlendFormula_2 {
fractal:
  title="Blend Formula_2" width=600 height=450 layers=1
  credits="Don Berendsen;1/21/2009;c.Kleinhuis;1/20/2009"
layer:
  caption="Background" opacity=100
mapping:
  center=1.07695008166/0.78766388853 magn=6.0496474
formula:
  maxiter=182 adjust=yes filename="Standard.ufm"
  entry="GenericFormula" p_formulaClass="ck.ulb:BlendFormula"
  p_formulaClass.v_generic=100 p_formulaClass.v_formula=100
  p_formulaClass.p_power=2/0
  p_formulaClass.formulaClass1="Standard.ulb:Standard_Mandelbrot"
  p_formulaClass.formulaClass1.v_generic=100
  p_formulaClass.formulaClass1.v_formula=100
  p_formulaClass.formulaClass1.v_divergentformula=100
  p_formulaClass.formulaClass1.start=1.99118/-3.53507
  p_formulaClass.formulaClass1.p_power=2/0
  p_formulaClass.formulaClass1.p_bailout=4
  p_formulaClass.formulaClass2="Standard.ulb:Standard_Julia"
  p_formulaClass.formulaClass2.v_generic=100
  p_formulaClass.formulaClass2.v_formula=100
  p_formulaClass.formulaClass2.v_divergentformula=100
  p_formulaClass.formulaClass2.seed=-1.25/0
  p_formulaClass.formulaClass2.p_power=2/0
  p_formulaClass.formulaClass2.p_bailout=4.0
  p_formulaClass.interpolator="ck.ulb:ComplexInterpolator"
  p_formulaClass.interpolator.v_generic=100
  p_formulaClass.blend=0.79782
inside:
  transfer=none
outside:
  transfer=linear
gradient:
  comments="Default Ultra Fractal 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
}

Have Fun

• This formula is nice when you do animations and want to do a transition between different nice values of a fractal formula.

• This can very good combined with the Alternating Formula.