Fractal Gallery
This is a selection of finished, single-edition works. These 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.
Storm Surge
Here is a variation of the tan(r) tan(e) fractal at the 1/3 exponent starting point. I love the interrupted motion in this one, stormy, like a Storm Surge.
Splash!
This is fun. Splash! is a Mandelbrot with sine and cosine applied, along with a bit of color. These functions are difficult to control, as the ripples that are created do complicate quickly when zooming in.
Song
Using the same algorithm as Flight, Song is a deeper zoom into the Negabrot (-2 exponent) using angular cycle-counting. It’s music to the eyes.
Solar Storm
The swirling linear patterns merge to create a cloudy aurora effect caused by a Solar Storm. Tangent on real, with a twist. Negating the exponent on every iteration changes the nature of the fractal form.
Peacock
A touch of color on the black-and-white pattern appears similar to Peacock feathers. This is the Multibrot set rendered at a fractional exponent with a logarithm function applied to both real and imaginary axes. The function tends to “stir” the fractal, giving it a rippled or feathered appearance.
Order
An orderly progression of chromed surfaces resulting from a mild zoom into the multibrot set at a fractional exponent below 2 with an Exponential function applied produces a fairly imposing image. It is somewhat… Orwellian… I attempt to title my pieces with words that reflect not only what appears to be there, but how they feel.
Misty Mountains
I found this mysterious landscape inside the set of a vertical Multibrot with cosine applied. The function produces a lot of loops that blend together into cloudy formations and sweeping textures.
Microcircuit
This is the Multibrot set with an exponent of 1.0 with ln(r) and ln(i) variations applied. The logarithm seems to make things get interesting, even at unity. This sort of looks like a magnification of a Microcircuit.
Magnetic Sands
A sandy texture and bubbles of energy create a texture reminiscent of a beach with washed-up, dried seaweed or crustaceans somehow arranged in swoops and swirls. Frequency-mapped at a -5 exponent, the fractal produces quite a lot of detail. This one took a week to render in the background.
Glass Highway
A variation of the tan(r) tan(e) fractal at the 1/3 exponent starting point. The glassy reflections seem to pick up hints of buildings as it swoops into the distance.
Frost
This is a cubed Mandelbrot with a logarithm on imaginary and tangent on real. These functions interact to create a complex pattern of repeating curves. Just a touch of tint added to warm it up.
Flight
There are multiple methods to depict a fractal rendering. This one uses angular cycle counting to measure how rapidly each point changes. The result was unexpected. This is a fairly deep zoom into the Negabrot (exponent of -2) using this technique. There is a lot of energy in this image.
Fear of the Dark
Here is a dark and moody misty cavern that seems both mysterious and quite alien. This comes from a vertical slice through the negative space around a -1.5 exponent of the Multibrot set.
Curtain Call
The logarithm function creates patterns all on its own, so here it is with the exponent set to near unity, 1.1. Swoops and folds look like curtains draping on a stage in infinite patterns.
An Evening in the Garden
This is a moderate zoom into a sinewave variation of the Mandelbrot set. Traditional escape-time mapping renders it as “snow,” but period-mapping reveals a whole different picture. Careful adjustment of the color parameters produces an organic, yet otherworldly feel.
Synergy
Inserting trigonometric functions into the periodic negative exponent Multibrot space results in smooth, curvilinear lines in complex patterns. Rendered in greyscale, it looks like the curves are holding in the energy of this image.
Misty Landscape
The cosine function tends to generate ripple-and-wind effects. This is a mild magnification of a vertical slice just under the exponent of 2, with cosine applied and a linear render method. Mist-covered mountains await in the background.
Currents
It looks like Currents in a pool of water. This is a light magnification into a Mandelbrot fractal that was significantly altered by taking the arctangent of the square of both axes. I added a green tint for a watery feel.
Carousel
Reminiscent of the lights on a ride around the merry-go-round, this is a deep zoom into negative exponents. Pitting tangent against arctangent under frequency-counting produces a complicated interaction of lights and bursts.
Butterflies
A deep zoom into the Negabrot (-2 exponent) with angular cycle-counting instead of the usual periodic rendering brought out an explosion of fluttering wings.
Turbulence
A mild zoom into vertical Multibrot space with cosine variation. This is on the border of the set, so the overlap of the trigonometric function produces a liquid or glassy texture.
Microcircuitry
Creating a Mandelbrot variation with an exponent of one (or unity) seems silly, until you modify it with trigonometry. The base formula, z=z+c, is fast, allowing the calculation to concentrate on the trig functions. In this image the logarithm function adds mechanical curves and straight lines, giving the impression of microcircuitry.
Connections
Here is the Mandelbrot rendered with a fractional exponent of 1.5 with logarithm applied to both real and imaginary values. The trigonometric function takes over, creating a pattern just keeps repeating and connecting the deeper you look.