Fractal Gallery
This is a selection of finished, singleedition prints.
All prints are on highquality archival photo paper.
These prints are oneofakind 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.
I have recoded my gallery to utilize a more traditional “tiled” layout.
Just click on a tile to view an enlargement. If it doesn't seem to be working,
refresh your page with CtrlF5.
Stage II
After spending some time exploring and developing my fractal application and my style,
I feel that these works have achieved a new artistic level above my initial exploratory works.


 Flight
 6/16/2019
 20" x 20"
 Photo Print
 Single
 $985

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.


 Order
 4/20/2019
 20" x 20"
 Photo Print
 Single
 $985

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.


 Synergy
 4/10/2019
 20" x 20"
 Photo Print
 Single
 $985

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.
Stage I
These are works from what I would consider an exploratory stage, where I
was building my fractal application and exploring what is possible. This is not to say that exploration
has ceased, just that I feel that my work is starting to mature beyond this stage.


 Amphibian
 10" x 10"
 Photo Print
 Single
 $245

This is a vertical “slice” rotated an odd 70degree angle through Multibrot space,
positioned just below the traditional Mandelbrot set. Is it a school of fish, or a lounge
of lizards? I had to look up what a group of lizards was called. It reminds me of
Escher's “Reptile” tiled etchings, and his choice of subject has multiple levels,
rep tile. This fractal's complexity renders countless creatures.


 Aquifer
 10" x 10"
 Photo Print
 Single
 $245

This is a vertical slice of the multibrot set, just below an
exponent of 1. This area tends to be very fragmented, and
looks like water embedded in rock.


 Arachnoid
 01/06/2019
 12" x 12"
 Photo Print
 Single
 $300

I found this spidery image in a “vertical slice” through multibrot space
at an exponent of around 119. Things get very squished up here, so this had to be
stretched 4,000% horizontally to see the image. The fractal is rendered with a
complex color scheme with both escapetime and periodic rendering through some
trig functions to enhance its leggy details (whew).


 Bamboo Forest
 10/21/2017
 10" x 10"
 Photo Print
 Single
 $245

This leafy image is a moderate zoom in a vertical slice of the negative space
under the multibrot set, with an exponent between 1 and 2. It is rendered
with periodic rendering, complicated by the extra iterations required for the
smoothing algorithm. The leafy, twiggy result reminds me of bamboo.


 Bluebird
 2/20/2017
 12" x 8"
 Photo Print
 Single
 Sold

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 70degree angle from the real axis. “Bluebird” won
“Special Recognition” in the Light, Space, and Time Gallery
2017 “Abstracts” exhibition.


 Braided
 3/20/2015
 12" x 18"
 Photo Print
 Single
 $545

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.


 Chains
 11/29/2014
 18" x 12"
 Photo Print
 Single
 $545

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
 $745 (at 12x36)

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.


 Clematis
 2/16/2017
 10" x 10"
 Photo Print
 Single
 $245

You're “not supposed to” render a negabrot with
escapetime mapping. It's “wrong.” That said,
this is a negabrot (a Mandelbrot set with an exponent of 2)
rendered with a combination of escapetime 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.


 Coriolis (Sold)
 5/24/2015
 3" x 3" cube
 Photo Print Cube
 Single
 Sold

Here is a deep zoom into the Mandelbrot set. The actual image was renderes
into six squares and mounted on the sides of a cube. The colorful swirls seem
to wrap around the edges.


 Dragon Scales (Sold)
 9/1/2016
 8" x 12"
 Photo Print
 Single
 Sold

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.


 An Evening in the Garden
 06/30/2017
 10" x 10"
 Photo Print
 Single
 $245

This is a moderate zoom into a sinewave variation of the Mandelbrot set.
Traditional escapetime mapping renders it as “snow,” but
periodmapping reveals a whole different picture. Careful adjustment of
the color parameters produces an organic, yet otherworldly feel.


 Equinox
 12/20/2016
 3:1 to be printed
 Photo Print
 Single
 $745

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.


 Fern Garden
 06/15/2018
 10" x 10"
 Photo Print
 Single
 $245

This is a sinewave variation of the Mandelbrot set with both
escape and periodic rendering applied.
Overlaying these techniques brings out the periodic nature of
the sine function with the enhanced detail of the escape function.


 Fluidity
 10/24/2016
 3½" x 3½" cube
 Photo Print Cube
 Single
 $145

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.


 Fragments of Imagination
 06/15/2018
 10" x 10"
 Photo Print
 Single
 $245

What is it? It could be a broken stainedglass window, an
abstract bushy tree... Setting the exponent to a fractional
value, in this case around 5.6, produces fragmented patterns.


 Glass #2
 10/28/2017
 10" x 10"
 Photo Print
 Single
 $245

The trig functions normally tend to produce a random mess when applied to the
Mandelbrot formulas. However, since trigonometric functions are basically periodic in
nature, applying periodic mapping can draw out hidden patterns. Using an
arctangent variant of the Mandelbrot set with period mapping applied, a glassy,
transparent image emerges.


 Ice (Sold)
 3/14/2015
 12" x 18"
 Photo Print
 Single
 Sold

I was challenged to remap “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.


 Incursion
 3/15/2015
 12" x 18"
 Photo Print
 Single
 $545

This is a magnification of the traditional Mandelbrot set with a
tightlyrepeating grayscale color map applied, resulting in a
highlyenergetic pattern.


 Longing
 4/10/2019
 12" x 12"
 Photo Print
 Single
 $300

Applying trig functions to the complex conjugate of the Julia at a
fractional exponent, I discovered this fuzzy figure peering back out
at me.


 Magma
 3/20/2015
 10" x 20"
 Photo Print on Metal
 Single
 $545

This is a deep magnification into the Mandelbrot set. The
various cracks and veins inspired me to give it a hot, dark,
deepearth look. I added the “interference”
capability to my fractal application just for this particular
work to increase the available complexity of the color map.


 Melted
 06/15/2018
 12" x 12"
 Photo Print
 Single
 $345

This is from the sinewave variant of the set. I just love the
glassy, transparent textures that come out in this application.


 Outburst (Sold)
 11/20/2018
 12" x 12"
 Photo Print
 Single
 Sold

This is a detail of the tower of powers fractal. I have
applied a complex gradient to enhance subtle changes that occur
within the “fronds” of this fractal. As you
zoom in, the interaction of these curves becomes more interesting.


 Periwinkle
 2/16/2017
 8" x 12"
 Photo Print
 Single
 $245

Here is a moderate zoom into the bottomright 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.


 Ripples
 4/6/2017
 8" x 12"
 Photo Print
 Single
 $245

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.


 Shoreline
 06/15/2018
 12" x 12"
 Photo Print
 Single
 $345

The burning ship variant of the Mandelbrot set uses the
absolute value (positive value) of the formula, and produces a
rather noisy, turbulent result. Applying periodic rendering to
the inside of the set reveals some interesting patterns. This
image is technically “inside” the set, but periodic
rendering brings out some normally invisible activity.


 Starlight (Sold)
 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 (Sold)
 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.


 Striped Sky
 01/06/2019
 12" x 12"
 Photo Print
 Single
 $300

This was found inside the “Burning Ship” fractal.
Periodic rendering reveals a lot of interesting turbulence in here. Applying
the Julia form in this area produces the repeating, reducing pattern.


 Sunrise
 3/13/2019
 12" x 12"
 Photo Print
 Single
 $300

Studies find that the human brain prefers fractal repetition at a
factor of about 1.4. So I tried it. This sunny pattern is a Julia
variant at that exponent. Periodrendering brings out the warm
fire in the middle.


 Sunset on Ice
 12/17/2016
 14" x 11"
 Photo Print
 Single
 $345

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
Averagevector 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.