Fractal Art and Design

Fractal Gallery

This is a selection of finished, single-edition prints. These prints are one-of-a-kind and are for sale. To preserve their value, I do not provide the parameters, and will never reprint. Please inquire through the contact button, above.

Prices Reduced

Some of these had not gone to print when I added them to this page. I decided to print them a little smaller than originally intended, so the prices have gone down on many of these.

• • 
  • Blue Aztec
  • 8" x 12"
  • Photo Print
  • Single
  • $150 (unframed)
  • The multibrot space beneath an exponent of -1 contains some very turbulant and interesting forms. This is rendered with the exponent on the vertical axis. Average-vector periodicity mapping (ouch, that's a mouthful) reveals a lot of angular detail, “Aztec-like” whorls.
• • 
  • Braided
  • 3/20/2015
  • 12" x 18"
  • Photo Print
  • Single
  • $300 (unframed)
  • The twisting threads, colors, and textures in this traditional Mandelbrot magnification remind me of a braided rug. The color ramps use prime numbers to limit repetition, increasing the color depth of the resulting fractal.
• • 
  • Bluebird
  • 2/20/2017
  • 12" x 8"
  • Photo Print
  • Single
  • $200
  • A flutter of wings and feathers appears just underneath the traditional Mandelbrot set in the Multibrot space. The exponent is rendered vertically in this “Multibrot Slice” at a 70-degree angle from the real axis. “Bluebird” won “Special Recognition” in the Light, Space, and Time Gallery 2017 “Abstracts” exhibition. On display at the ArtHub Gallery.
• • 
  • Chains
  • 11/29/2014
  • 18" x 12"
  • Photo Print
  • Single
  • $300 (unframed)
  • This is my very first finished piece. It is a deep magnification into the Mandelbrot set, with a large escape depth setting and the beginnings of simplified Lyapunov periodic mapping to produce the gentle, smooth gradients.
• • 
  • Champagne
  • 11/29/2016
  • 1:3 to be printed
  • Photo Print
  • Single
  • $400 (unframed at 10x30)
  • A “Multbrot” is a variation of the Mandelbrot set rendered with an exponent other than the traditional “2.” This is a magnification of the set with a high exponent of 71. Why 71? Why not? The swirling, bubbly texture lends to its name. “Champagne” won “Special Merit” in the Light, Space, and Time Gallery 2017 ”Abstracts“ exhibition.
• • 
  • Clemetis
  • 2/16/2017
  • 10" x 10"
  • Photo Print
  • Single
  • $200
  • You're “not supposed to” render a negabrot with escape-time mapping. It's “wrong.” That said, this is a negabrot (a Mandelbrot set with an exponent of -2) rendered with a combination of escape-time mapping and simplified Lyapunov periodic mapping. In other words, it's a “hybrid,” like a lot of plants you can find in a garden. This image reminds me of its namesake, a climbing, flowering vine. On display at the ArtHub Gallery.
• • 
  • Dragon Scales
  • 9/1/2016
  • 8" x 12"
  • Photo Print
  • Single
  • $200
  • The scaly texture comes from a deep magnification of the Mandelbrot set. I selected colors reminiscent of traditional Chinese art. “Dragon Scales” won “Special Merit” in the Light, Space, and Time Gallery 2016 “Open” exhibition. On display at the ArtHub Gallery.
• • 
  • Equinox
  • 12/20/2016
  • 3:1 to be printed
  • Photo Print
  • Single
  • $400 (unframed at 30x10)
  • Swirls of winter snow, crunchy autumn leaves, and hot summer breezes are all reflected in this long slice of the Multibrot set with the exponent rendered vertically just below -1. Simplified Lyapunov periodic mapping (whew) reveals intricate details in this area.
• • 
  • Fluidity
  • 10/24/2016
  • 3½" x 3½"
  • Photo Print Cube
  • Single
  • $50
  • This deep magnification of the Mandelbrot set uses complex color ramps to highlight oily, swirly forms. The limits of the ramps form broad, curving edges, creating overlapping fluid shapes. This is just one of six renders of this space, each mounted in the side of a transparent cube.
• • 
  • Ice
  • 3/14/2015
  • 12" x 18"
  • Photo Print
  • Single
  • Sold
  • I was challenged to re-map “Magma” to create a frozen, icy effect to contrast the deep, hot look of the original work. This is the same fractal, with a completely different effect.
• • 
  • Magma
  • 3/20/2015
  • 10" x 20"
  • Photo Print on Metal
  • Single
  • $300 (ready to hang)
  • This is a deep magnification into the Mandelbrot set. The various cracks and veins inspired me to give it a hot, dark, deep-earth look. I added the “interference” capability to my fractal application just for this particular work to increase the available complexity of the color map.
• • 
  • Periwinkle
  • 2/16/2017
  • 8" x 12"
  • Photo Print
  • Single
  • $200
  • Here is a moderate zoom into the bottom-right area of the Mandelbrot set. I was experimenting with techniques to render inside the set. The resulting curving forms produce an iridescence and depth beneath the complex, branching shapes. On display at the ArtHub Gallery.
• • 
  • Ripples
  • 4/6/2017
  • 8" x 12"
  • Photo Print
  • Single
  • $150 (unframed)
  • A variant of the Mandelbrot set takes the absolute value of the formula on each iteration. The result is very different. This is a deep magnification of the “Burning Ship” fractal. It looks like you are looking upward through rippling water at an old cityscape. This fractal tends to be noisy, so rendering required 16X supersampling to smooth it out.
• • 
  • Starlight
  • 5/24/2015
  • 3" x 3"
  • Photo Print Cube
  • Single
  • Sold
  • Millions of stars glow in tight clusters in this deep magnification of the Mandelbrot set. This fractal is split into six separate squares and mounted into a cube frame.
• • 
  • Storm Surge
  • 5/23/2015
  • 3" x 3"
  • Photo Print Cube
  • Single
  • Sold
  • This is a more traditional rendering of the Mandelbrot set. There is a lot of energy in the swirling, branching forms. This is just one rendering of six in this space, mounted into a cube frame.
• • 
  • Sunset on Ice
  • 12/17/2016
  • 14" x 11"
  • Photo Print
  • Single
  • $300
  • The fractured nature of this rendering comes from the very turbulent space between -1 and -2 in the Multibrot set. The exponent is rendered on the vertical axis, with simplified Average-vector periodicity mapping to bring out the textures. This pattern reminds me of ice crystals that form overnight on the road, so I added a hint of morning sun. On display at the ArtHub Gallery.