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I got from Titia the next algorithm for making a fractal in the Fractal Explorer, but it is not clear for me what the mathematical formula is. For using in Fi the formula must be of a form like z=z^2 + c#.
In case of a fractal tree I use as formula: if (x#>0) then z=(z-1)/c#,  else z=(z+1)/conj(c#)

Who can help me?

Algorithm

// -declaration of the local temporary variables
  var T0,T1,T2,T3,T4,T5 : TComplex;
Begin                         
  // -"julia" flag           
  If julia Then begin         
  end;                       
                             
  // -initialization code     
  //  (first iteration)       
  If iter_number=1 Then begin
  end;                       
                             
  // write your formula here 
  //Z:=CAdd(CSqr(Z),C);  // mandelbrot
  // z*Fn1(z)+Fn2(z)/z+P1/C
  T1:=Z;
  FuncDisp(FN1,T1);
  T2:=Z;
  FuncDisp(FN2,T2);
  T1:=CMul(Z,T1);
  Z:=CDiv(T2,Z);
  T2:=CDiv(P1,C);
  Z:=CAdd(T1,Z);
  Z:=CAdd(Z,T2);
                             
  SetResult(x,y, Z);         
                             
  // user-defined bailout test:
  // uncomment and change next
  // lines if you want         
//If x*x+y*y>4 Then begin     
//   EndLoop:=True;           
//end;                         
End;

I think this might help (http://www.mathcurve.com/fractals/fractal%20explorer/compiler.htm) - the problem is that the formula is compiled and the programming language (Delphi) complicates things. I have not, alas, bothered to take motes and figure out how to translate the mess back. My formulae are of the "duhhh... let's throw something in here and see what happens" kind LOL

There is a julia seed to the mendlebrot with 1.5 power that looks verry much like this too.

I just posted the *.frs file of the fractal tree in the "rate my file", parameter section. If you want to get a tree with this formula you also need the settings. It's a Fractal Explorer file.

(http://excalibur.renderosity.com/mod/gallery/media/folder_89/thumb_884579.jpg)

that's exactly what it is: the glynn set

reference: http://www.efg2.com/Lab/FractalsAndChaos/GlynnFunction.htm (efg labs has even been linked on these very forums: http://www.fractalforums.com/index.php?topic=77.0)

Thanks for the Glenn set. I think I am on the right track now!

Jules.