### 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.

### Gallery Showing

A few pieces of my artwork are on display at the Nashua Public Library's art gallery in the Nashua Area Artists Association show.

Address: 2 Court St, Lower Level, Nashua, NH

Reception: Saturday, November 18, 1:00-4:00

### New Artwork

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.

### Fractal Wallpaper

Download fractal wallpaper for your phone, tablet, or other device
free from my Wallpaper page!
*Firestorm* is a new rendering utilizing *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.

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

*Champagne* received Special Merit and *Bluebird* received Special Recognition in the the March 2017 Light Space & Time
Online Art Gallery's 8th Annual Abstracts Art Exhibition. Following are a couple of excerpts from
the gallery:

“The gallery received 887 entries from 36 different countries from around the world. In addition, the gallery received entries from 38 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.”

Previously, *Dragon Scales*, also won Special Merit in the October 2016 “Open” exhibition.