These original images by Michael Sargent were rendered using my own software and the Persistence of Vision ray tracer, with postprocessing by Adobe PhotoShop and MetaCreations Painter. They exist as 16.7millioncolor JPEG's. Please set your browser and/or image viewer to utilize a true color graphics mode, or you won't see these pictures in their full glory. Click on the thumbnail icons to see the fullsized images. Although I tend to write my own fractalgenerating programs, Fractint is the sine qua non for anyone interested in studying fractals and generating them on a PC. Fractint is available at many Internet locations, including Noel Giffin's outstanding fractal archive called Spanky, and the UTK Math Archives. It also accompanies the invaluable reference Fractal Creations. This book and the definitive POV references, Ray Tracing Creations and Ray Tracing Worlds, are published by the Waite Group Press. 

Can computer graphics be art? For what it's worth, here's my opinion on this burning question. 

This is a fractal height field utilizing two regions of the Mandelbrot set, generated as "continuous potential" images by Fractint. Every picture needs a light source, and this one uses a Hubble Space Telescope photograph of the star Eta Carinae.  640 x 480 pixels 59 KB JPEG 

Everyone who does ray tracings is obligated to make at least one Utah Teapot. Here is a version with a textured foreground for reflection and a photographic background.  640 x 480 pixels 78 KB JPEG 

A standard Julia image was rendered with a gold and silver palette, using an orbittrapping coloring formula. Then it was used as a height field to simulate a threedimensional piece of fractal jewelry.  800 x 600 pixels 79 KB JPEG 

This attempt to render erythrocytes and lymphocytes started with a torus and Bezier patch. The patch was finetuned with a modelling interface for POV called Moray.  640 x 480 pixels 77 KB JPEG 

This picture is a study in refraction. The base is a Mandelbrot set. Inside the set is a Perturbated Gingerbread Man fractal, based on formulae developed by Fausto Barbuto and Victor Ielo.  640 x 480 pixels 74 KB JPEG 

The tiling pattern for this image was generated online at the University of Minnesota Geometry Center's interactive Web site. A 2dimensional image of the pattern was then applied to a spherical surface with POV.  640 x 480 pixels 55 KB JPEG 

Here are some images utilizing fractals generated with standard escapetime algorithms. The VolterraLotka and "Escher Julia" formulae from my QS W95 Fractals program have been incorporated into Fractint. Other classic formulae, including the magnetism models, have been there all along. I've not seen the enhanced sine formula in other fractal software. 

Here is a 24bit zoom into the Mandelbrot set, which seemed to make a perfect frame for Waterhouse's portrait of Psyche.  480 x 480 pixels 123 KB JPEG 

This image is a manipulation of a zoom into the Mandelbrot set.  640 x 460 pixels 114 KB JPEG 

One of my favorite fractals from Peitgen and Richter's The Beauty of Fractals is derived from the VolterraLotka predator/prey formula. Here is an image from this formula, applied to a sphere.  640 x 480 pixels 108 KB JPEG 

This is a zoom into a VolterraLotka image in 24bit color.  640 x 450 pixels 68 KB JPEG 

This image is composed of "tile Julia" or "Escher Julia" fractals. These circular curiosities were introduced in The Science of Fractal Images. Peitgen and Saupe saw an analogy between these fractals and Escher's Circle Limit series, in which characteristic interlocking figures recede toward an infinity that, paradoxically, is bounded by a finite circle. The formula of these fractals is a variation on the standard Julia theme. The target set, rather than being the usual disk around infinity, whose diameter is defined by a "maxsize" variable, is a second, scaled, Julia set: T = z:  (z * factor)^2 + c  < maxsize 
1024 x 768 pixels 97 KB JPEG 

This eclipselike image is an inverted tile Julia fractal. The font of the inscription is from "Thror's Map" in The Hobbit. The inscription itself reads, "All the gods are one god." The concept is attributed, in a work of fiction, to the Druids. I don't claim the expertise to verify that, but such an openminded perspective seems quite unique to any formal religion.  640 x 480 pixels 49 KB JPEG 

One also can find "enhanced sine" images similar to this one in The Science of Fractal Images.  800 x 600 pixels 54 KB JPEG 

This image is a straightforward inversion of the preceding one.  800 x 600 pixels 130 KB JPEG 

This fractal was generated from one of the magnetism formulae explored in The Beauty of Fractals. The large inside region was colored using only a 256color palette, with no true color algorithms. This demonstrates that palettebased graphics modes can produce gradients which are almost as subtle as those in true color modes. They just can't be as extensive.  800 x 600 pixels 35 KB JPEG 

The following images were made with my QS Flame program. They are blends of chaotic attractors produced with formulae created by Scott Draves. 

This mothlike flame image seemed most at home fluttering over a moonlit landscape.  800 x 600 pixels 112 KB JPEG 

This image owes its rather stark detail to the use of a small filter radius and a large oversampling factor.  800 x 600 pixels 51 KB JPEG 

This image uses the same parameter set as the previous one, with a rather large filter radius.  800 x 600 pixels 43 KB JPEG 

This image was done by my friend Jeff Field, using overlays of multiple parameter sets.  640 x 480 pixels 53 KB JPEG 

Here is another QSFlame image, using a parameter set from my friend Fausto Barbuto.  800 x 600 pixels 127 KB JPEG 

In his fanciful book Chaos in Wonderland, Cliff Pickover describes creatures on Jupiter's moon Ganymede who visualize beautiful chaotic attractors in their dreams. 

Here is an image of one such fractal dream.  800 x 600 pixels 110 KB JPEG 

Here is another fractal dream image generated from one of the formulae in Chaos in Wonderland.  800 x 600 pixels 138 KB JPEG 

As the title implies, the images in Symmetry in Chaos by Field and Golubitsky are chaotic attractors which display astonishing degrees of symmetry. The following images were made with my SymXaos program. 

This image was generated from one of the "symmetric icon" formulae described in the book.  800 x 600 pixels 123 KB JPEG 

There also are two "quilt" formulae in Symmetry in Chaos. These produce square and hexagonal patterns with "seamless" borders, so that they may be combined by tiling to cover large areas. This image shows a complex interrelationship among several repeating patterns.  640 x 480 pixels 128 KB JPEG 

The following images were made with my Line Integral Convolution filter program. 

This is a rendering of a floral photograph. The left half of the image was done using a Gaussian blur of the photograph as a source of the vector field. The stream lines of the original image are seen easily. The right half was done using a Gaussian blur of white noise, with the ramp filter option. This approach yields a different painterly effect.  760 x 510 pixels 69 KB JPEG 

Here is another floral LIC image.  540 x 600 pixels 119 KB JPEG 

Landscapes often respond well to LIC techniques. Perhaps part of VanGogh's eccentric genius was the ability to visualize vector fields directly in nature.  800 x 555 pixels 83 KB JPEG 

Here is another LIC landscape.  800 x 500 pixels 106 KB JPEG 

This question has been addressed since the earliest groundbreaking publications by Mandelbrot and Peitgen's group. Here is a summary of my perspective on this issue: 
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