which software to view my custom 3d fractal formula?

[TedWalther]

From time to time I think up new 3d formulas to try out.  Is there any software out there that I can type my formulas into, then see the 3d render?  I've tried mandelbulber and mb3d but didn't see how to enter my formulas in.

The formulas I want to try right now are:

Formula 1:
x = 2x^2 - y^2 - z^2
y = 2xy
z = 2xz

Formula 2:
x = x^2 - y^2 - z^2 - 2yz
y = 2xy
z = 2xz

[TedWalther]

And if those two formulas have already been posted here, can you please link me to the images?

[TedWalther]

Ok, I learned that mb3d has a way to put in custom formulas using JIT, and JIT is a dialect of Pascal.  So, I put in Formula 2.

Now, for both formulas, I was very careful.  They are both identical to the classic 2d mandebrot set in the xy plane.  But when I look at the JIT render, I don't see the 2d mandelbrot at all, it just looks wierd! Same for Formula 1.

In fact, for both formulas, I arranged it so the xy and xz plane are exactly identical to the 2d mandelbrot set.   Could someone check with mb3d or other program, what is going on?  I derived the formulas carefully.  Why isn't the 2d mandelbrot showing up in the xz and xy planes for both formulas?

[knighty]

You forgot to add C?
The code should look something like this:

Code:

procedure Ted01(var x, y, z, w: Double; PIteration3D: TPIteration3D);
var
    x1,y1,z1: Double;
begin
    x1 := 2*x*x-y*y-z*z;
    y1 := 2*x*y;
    z1 := 2*x*z;
    x :=x1 + PIteration3D^.J1;
    y:=y1  + PIteration3D^.J2;
    z:=z1  + PIteration3D^.J3;
end;

[TedWalther]

You forgot to add C?
The code should look something like this:

Thank you, that helped.  I'm used to the interface in OpenSCAD that lets me move an object around and look at it; are there controls that let me set the camera location and direction?  Is there an option to create a spiral "look-around" video that aims the camera at a central point?

The results for both formulas are still puzzling, and not giving the mandelbrot set in the xy and xz planes. I was definitely surprised to see the first formula show up as a mandelbrot2d revolved around the x axis.  Except... it isn't.   The tail is missing.

[3dickulus]

Is there any software out there that I can type my formulas into, then see the 3d render?

Have you tried Fragmentarium?

[TedWalther]

Have you tried Fragmentarium?

Thank you, I'll check it out.  Looks like the last update was 2013, hope bitrot hasn't set in.

[3dickulus]

uhm... I think you're referring to v1.0, if all you want is to muck about with some formula then v1.0 will do nicely,

but if you want to animate then v1.0.31 has many more features
v1.0.31 Jul 2017 http://www.digilanti.org/fragmentarium/
and if you want to play with some more advanced features like double types and cubemaps then v2.0 might do the trick
v2.0.0 Aug 2017 https://github.com/3Dickulus/FragM/