ShopDreamUp AI ArtDreamUp
Deviation Actions
Area of fractals coming soon
Area of GRANDMA QUASIFUCHSIAN made easy:
In 2D , the circles rays are: inner have (abc/(ab+ac+bc+2*sqrt(D))), outer have (abc/(ab+ac+bc-2*sqrt(D))),
where D=abc*(a+b+c).
In 3D, the spheres rays are: inner have (abcd/(abc+abd+acd+bcd+sqrt(D))), outer have (abcd/(abc+abd+acd+bcd-sqrt(D))),
where D=-3*(abc^2+acd^2+abd^2+bcd^2-2abcd*(ab+ac+ad+bc+bd+cd)).
Those formulas can be applied reccurencing, for render area of fractal quasifuchsian like at BRAINJAMdotCA site. This need a infinity sum only.
Area of GRANDMA QUASIFUCHSIAN made easy:
In 2D , the circles rays are: inner have (abc/(ab+ac+bc+2*sqrt(D))), outer have (abc/(ab+ac+bc-2*sqrt(D))),
where D=abc*(a+b+c).
In 3D, the spheres rays are: inner have (abcd/(abc+abd+acd+bcd+sqrt(D))), outer have (abcd/(abc+abd+acd+bcd-sqrt(D))),
where D=-3*(abc^2+acd^2+abd^2+bcd^2-2abcd*(ab+ac+ad+bc+bd+cd)).
Those formulas can be applied reccurencing, for render area of fractal quasifuchsian like at BRAINJAMdotCA site. This need a infinity sum only.
A Long-Time Space Mantis Lost Vinyl
The Lost Mantis Vinyl is firstly a collection of several original fractals that I've created over the years and never released, for a reason or another, and which I have decided to release publicaly. I'll add more on a regular basis.
These artworks are not all esthetic in nature, but may often carry a high level of symbolism and meanings.
You will find here fractals created over 20 years long period, using several fractal softwares.
$14/month
General equation of Kompassbrott's
Let F0=z; F1=z^3+k*z^2+z; F[p]=F[p-1]^3+k*F[p-1]^2+z; whatever (p) natural number the general equation of Kompassbrott's is this system of equation: / F[q]-F[r]=0 { \ dF[q]/dz-dF[r]/dz=0 whatever q>r natural numbers, and F[p]=F[p](z,k) and for each (k) the (z) is kompassbrot point location for the cubic Mandelbrot set fc(v)=v^3+k*v^2+z if for the kompassbrot kind 1 location z=(-2*k^3-9*k)/27. More details can be found on my channel on FRACTALFORUMS
Other bug report
DEVIANTART not longer support BMP files
new gallery
A new collection of Cubic Mandelbrot arrays and Cubic Julia arrays coming on my DA channel.
Hope to helpfull to exploring the secrets of cubic Mandelbrot sets.
New math function
A new math function based by the Julia sets can opening a new branch of the math analysis (the functional equations).
For to can solve the equations like f(f(x))=x^2-1 where must to find f(x), existing a numerical method based of the infinity sums for the new function efP(z)= P (efP(z-1)) where P is a polynom, efP(-oo) is just the border of the Julia set determined by the polynom P, the Juliaset is JP={z|P(P(P...P(z)...))<>oo}. The infinity sum for efP(z+0.5) or for efP(z+i) can be rendered with the reccurence that is the sum for Q(Q(Q(Q...Q(z^(1/n))...))) where n=grad(P) and P(Q(z))=Q(P(z))=z.
More details can be founded at my channe
© 2014 - 2024 hgjf-radiolaria
Comments0
Join the community to add your comment. Already a deviant? Log In