### Welcome

Gregory B. Searle is a digital computer artist with a Bachelor in Fine Arts
from the University of Lowell (now U-Mass at Lowell) and a computer
programming background. He combined these seemingly opposing skill-sets
to create unique computer-generated “fractal” imagery using his own
custom computer code. This allows him to explore a whole world of
mathematically-generated imagery, carefully crafting the limitless
parameters to produce one-of-a-kind, high-quality fractal prints.
This page is intended as a space to explore computer-generated *fractal*
imagery as an art form.

At this time I am concentrating on extended variations of the
*Mandelbrot set*. In the future I may explore other types
of fractals. The extended set provides a huge world of form and
texture to explore. See the *About Fractals* page for more
information.

### Site Index

*About Fractals*provides more information on this medium.*Gallery*shows finished works that I have printed for sale.*Fractal Generator*is a link to the tool I built to explore and create.*Math & Art*goes into more detail on various subjects.*Resources*lists other pages of interest on this subject.*Wallpaper*is available for downloading for your phone or tablet.*Contact*me through the links on this page.

### “Special Merit” and “Special Recognition”

*Clematis* received Special Merit and *Equinox* received Special Recognition in the the March 2018 Light Space & Time
Online Art Gallery's 9th Annual Abstracts Art Exhibition. Following are a couple of excerpts from
the gallery:

“The gallery received 952 entries from 29 different countries from around the world. In addition, the gallery received entries from 40 different states.”

“The gallery also included Special Merit awards and Special Recognition awards for outstanding art. Many of the artists in either of these groups could have easily been included in the upper tier of our winners, as their art was also exceptional.”

### Gallery Showing

I was the *Featured Artist of the Month* for February, 2018 at the
Nashua Area Artists Association ArtHub Gallery.

Address: 30 Temple St., Lower Level, Nashua, NH

Reception: Saturday, February 3, 12:00-2:00 PM

### New Artwork

This is a vertical “slice” rotated an odd 70-degree 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.

### Fractal Wallpaper

Download fractal wallpaper for your phone, tablet, or other device
free from my Wallpaper page!
*Wavelets* is a new rendering utilizing both *escape* and
*period-mapping* on a sinusiodial variant of the Mandelbrot set.

### Extended Precision

*Deep zoom into the “Burning Ship” fractal*

This application now supports *extended precision*
calculations for deeper zooms into the fractals. Normally, the
image starts to break down into blocks when you approach the
double-precision limit of the CPU when zooming in. This occurs
at about 10^{14} magnification (1 followed by 14 zeros),
or 100 *trillion* times.

A technique called *double-double precision* allows
this limit to be extended to around 10^{30} magnification
(1 followed by 30 zeros), or a *nonillion* times. This
provides a lot more headroom for exploration! The above image was
found deep in the “Burning Ship” fractal at one
septillion, or 10^{24} zoom.