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The first "true" fractal from a program that I'm working on.
(http://imageshack.us/a/img405/6301/d9cq.png)
Though I'll probably use the program more for synthetic (or "unauthentic") fractals (for the controlled shape) than for true fractals, I still intend to utilize do some where the math does the work so-to-speak.

Looks like the Mandelbrot set, with |re(z)| > N used as escape criterion. A working start. :)

And N = 2 if the vertical edges I see are actually part of the output. But where's the superimposed circular gradient coming from, I wonder?

Very good.
This is a render from a fractal program that I'm creating. I create variations that each can create their own points if need be. The first point here is used to create a circular gradient / blur. The second variation is a Mandelbrot variation that simply changes the color of existing points (in this case, to the color red). Thus, if the gradient didn't exist, neither would the Mandelbrot.
At this point, you might be wondering why the red square boundaries extend past the black gradient's edge. This is because the gradient is actually a square blur with an alpha channel determined by the radius. It happens to be faster to do this than create a true radial blur.

Thanks for taking interest. :)

Programming a fractal rendering application is always a good test of one's programming ability.  And usually ends up a learning exercise in the process.     :D
 

Indeed.

My how things have changed. I haven't worked on my old programs for a while, but I started developing a 3D iterated mesh program, similar to Structure Synth but more user-friendly.

For the past year, year and a half, I've been working with JWildfire.
Here's some of my recent work:
(http://ablipintime.deviantart.com/art/Scripted-Elliptic-11-522004202)