All the pictures on this page have been made by Fractint, a very advanced, freeware fractal generator that's available for DOS and many other platforms. An interesting feature of Fractint, is that every GIF image it produces, contains information that can be used to rebuild the image. This means that you can download fractal GIFs from the net, load them into Fractint, and start zooming, changing colour scheme, shift the parameters about, etc.. You can do it with the pictures below (not the thumbnail pictures on the page itself, but those you get when you click on them.).
Well. Let's get on with the show then.
I like this one. The ant fractal looks a bit like a brain, when the standard pattern is active. So, I saved the picture, and did a quick 3D-transform with TARGA output active. This output a TGA-fil, which looked much better than the feeble 256 colours that Fractint can come up with all by itself.
If you are planning to do the same, I advice that you convert the TGA files to JPEG, PNG or some other compressed 16 bit graphic format. TGA pictures can get immensely big.
Ferns may very well be the most fractal structure in nature. Fractint can produce ferns too, via the fractal type ifs with the subtypes Fern and Fern3D. This picture here is decorated with autumnish colours.
This is a fn(z)+fn(pix) with lots of strange parameters, plus a nice colour map (firestrm.map). If you want to have real fun with Fractint, start fiddling with all those fractal types with the strange names (for instance, those with "fn" in them). It's amazing what you can find buried deep into these fractal types. Maybe you will discover something nobody's seen before you?
Zoom into a sierpinski, with all the default parameters, except the color map, which is glasses2 (if I remember correctly).
This is a 3D projection too, with 16,7 million colours. The basis is a circle fractal, which I've made a "planet" of. (Spherical projection.) The only somewhat difficult about it, was tweaking the surface rougness so that it got just right. Either it looked too rough, or the surface was comprised of great plains. I'm still not quite happy about it... When I see it now, I think that I should've used more light on it (it can be put right with "ambient light" in the light source menu), but it's too late to do anything about it now.
Blue, glittering water below black skies is only a small portion of what you may find if you look deep into fn(z)+fn(pix) (see above). Strictly speaking, the shore is almost completely vertical, so I had to rotate the zoom box on my way in. As you can see, it's not completely horizontal now either, but it's mostly for the sake of effect. I've sett inside to bof61, and I've used a logarithmic palette.
Just an ordinary julia. As far as I can recall, it was made by pushing Space somewhere in the Sea Horse Valley in a mandel. The colour map is neon, if you didn't recognize it.
Among the formula files in the Fractint distribution, I found the formule DeltaLog, which I used to make this Mandelbrottish picture. outside=mult (on the x screen) created the special, 3D-like effect.
A perfect illustration of a fractal. Its self-similarity is easy to discover, and at the same time it looks just marvellous. Fractal connoiseurs may see that it resembles a Mandelbrot, but not quite. The fractal type is called mandel4, and it is characterized by this special, triangular symmetry. The waves in the background is an artifact of outside=real, and the same effect is achievable in many other ways.
A 3D projection of a mandel with a gamma2 color map. Lightsource. A lot of work went into enlarging the projection so that it fit just outside the picture screen.
I tried using different light source vectors, but this is the one I was the most satisfied with. You can also look at the alternate versions.
As you can see in the large version, there are a number of ragged "spikes" at all the spiral arms, except the rightmost one. I don't know why. I tried increasing the "lightsource smoothing factor", but it didn't affect them the least. I also tried using a higher resolution and including only the rightmost spiral arm in the picture, but the annoying spikes just popped up somewhere else. (It looked better with a slight reduction in size, though.) I think it must be a flaw with the drawing method, not with the source picture itself.
A completely standard froth, except that it has my own, custom-created colour map.
An ordinary mandel with the royal colour map, which has been through an ant automaton. Looks a bit similar to those Kirlian photographs, don't you think?
No comment. (1 picture says more than 1000 words.)
This Mandelbrot mandala is a mandelfn with the sine function. Afterwards, I inverted it, and gave it swedish colours.
This is just a zoom into a regular mandel, with the froth6colour map that comes with Fractint. An HP DeskJet 850C printout,with a resolution of 1024x1280, is currently on display on the walls at home.
A 3D projection of a Julia, using light source. Nice colour map (blues).
A zoom into lambdafn, with the blues colour map (comes with Fractint) and 69 different parameters (I can't remember exactly which ones.).