KOMPASBROT fractals

[hgjf2]

If I will find the final formula of KOMPASSBROT kind 2 then I will can to render on PC with FRACTALEXPLORER or ULTRAFRACTAL this example on whick I made hand drawn

I'm founded a beta formula, but my first beta formula was been mistake because I used the condition dV/dc=0 where V=z[1]*z[2] formula mentioned up.
The true condition for border of mandel cubic perturbation fc(z)= z^3+k*z^2+c, is G=1 and for to solve (c) from kompassbrot equation is dG/dc=0 where G = |3*z[1]^2+2k*z[1]^2|*|3*z[2]^2+2k*z[2]^2| what become 9(V^2)+6kvV+4(k^2)V = (3k+9c)*v-2*(k^2)*V+9+6kc what must derivating with (c).
Then dG/dc = (3k+9c)*(dv/dc)+9v-2*(k^2)*(dV/dc)+6k =0, an equation what must solving with more carefully.
I keep trying to solving this and keep working. The result coming soon only on this topic.
I keep verifying each stage of this calculus for avoiding any mistakes.
The result will be next beta formula for KOMPASSBROT KIND 2 fractal.
When I will found the right formula for KOMPASSBROT KIND 2, this my fractal from my handraw will be rendered with my ULTRAFRACTAL

[Alef]

The result will be next beta formula for KOMPASSBROT KIND 2 fractal.
When I will found the right formula for KOMPASSBROT KIND 2, this my fractal from my handraw will be rendered with my ULTRAFRACTAL

I hope. Don't forget then to upload a formula in UF site;) Kind of strange genial research.

[hgjf2]

New difficulties was occured at searching formula for all kind kompassbrots:
If kompassbrot kind 3 and above need to solve algebrical equation degree five. I learnt that equation degree 5 and above certain has no solution in radicals due the Abel-Ruffini theorem at whick I found the demonstration, after I tried in vain 9 years to find a solution in radicals of algebrical equation degree 5, plus that I founded a new way of demonstration of the theorem of Abel-Ruffini just now, that equation z^5+pz^3+qz^2+rz+s =0 if has 3 real roots and yet two complex conjugates roots as solutions, neither combination z[1;2;3;4;5]=(w^k)*(A^(1/5))+(w^2k)*(B^(1/5))+(w^3k)*(C^(1/5))+(w^4k)*(D^(1/5)) can't give only three real numbers and two complex roots, where w=cos(TT/5)+i*sin(TT/5)=
(-1+sqrt(5))/2+i*(sqrt(10+2*sqrt(5))/4) and k=solution number.
 So I will limiting at kompassbrot kind 2, and I won't can to render on ULTRAFRACTAL the Kompassbrot kind over 2.
New beta formulas for Kompassbrot kind 2 coming soon.
Another beta formula c=(-k^3-9*k)/9+(1/9)*(((k*k-18)^2)*(11*k^5+36*k^3-324*k+sqrt(12*k^4-39*k^2+96+12*c*k^3+54*kc+81*c^2))/32)^(1/3)+
(1/9)*(((k*k-18)^2)*(11*k^5+36*k^3-324*k-sqrt(12*k^4-39*k^2+96+12*c*k^3+54*kc+81*c^2))/32)^(1/3).
whick unfortunethly isn't right formula, I tested allready on ULTRAFRACTAL. So I must have much patience for find the right formula. I have a fully journal with the formulas.