## Giuseppe Zito galleries of fractal images | Tweet |

## Come sognano i computer opened October 2, 2019

## Quando i Neutri emergono dalla Terra opened April 2, 2015

## What is left after the Storm opened October 14, 2013

## Morphogenesis opened September 5, 2007

## The alchemical transformation gallery opened December 21, 2004

## The blue pinwheel gallery opened November 5, 2004

## The maiolica tile gallery opened January 17, 2001

## The Structure of the Monolith gallery opened November 8,1999

## Organizing principle gallery opened September 6,1999

## Domus Aurea gallery opened July 6,1999

## Flower dance gallery opened July 6,1999

## Emerging motif gallery opened June 1999

## Taranta handkerchief gallery opened June 1999

## Alien starship gallery opened June 1999

## Steel and glass wonder gallery opened May 1999

## Inside Mary Poppins purse gallery opened March 1999

## The second gallery opened 1998

## The first gallery opened 1994

Welcome to my galleries of fractal images.The galleries contain a few hundreds images and are maintained using a Filemaker database. For some images I provide also the parameters that will allow you to reproduce them by using a fractal program like Ultrafractal(upr or par file) or Fractint(par file).

In addition to the usual presentation in galleries,you can look at a list of all images with miniatures.

You can browse the images one by one in chronological order starting from the first or the last added.

Or you can start a slide show of images taken randomly from the data base.Every minute you get a new image.

If you have Ultrafractal,here is the file zg.frm containing all the formulas used.Download it in the
*Formula* directory of Ultrafractal.Each new image created
has normally a parameter file that refers to formulas
in this file.

If you want to know from where these images come,here are some simple formulas used to generate some of them.

**Images coming from formulas found by program ufattr**

These images are generated by chance from a data base of around 50,000
planar dynamical systems. The formulas for these dynamical systems were found
by running a computer program called *ufattr* for many months.The program would try random
formulas saving only those that would produce an image(attractor) in a given
window. To produce the final image I use another program that will represent
these dynamical systems in many ways. In a first phase I choose some promising
formula out of the data base. Then I start playing with this formula by
changing the parameters one by one in a given range. If still nothing
interesting comes out I will start breeding the chosen formula with a random
one from the data base and looking at the result. I use for this a
genetic algorithm. This process of selection will continue until I get the
final image. Normally I have to look at hundreds of miniatures until I
got something new and interesting. Most of the images are either boring,because
have been already found in the past, or are too random to be appealing.
Most of the images but not all are fractals and in this case zooming
is essential to get the interesting part.
I use always the same "rainbow" palette, so also the color that I get
is produced by chance. Only seldom I manipulate the palette after the image
has been selected. The program *ufattr* is described in Drawing by accident and in a post to sci.fractals.

If you want to play yourself with this method I have some of the programs
that I use written in Java.
ufattr.java and ufattr.class contain a java application which
generates random formulas writing them on disk.
select is a applet used
to examine the formulas found by *ufattr* and choose the good ones. When
you are happy with a formula you click on "decode" and the formula is converted
in a format that can be cut and pasted in a Fractint/Ultrafractal formula file.
(To install *select* on your computer just copy all files in the
following directory on your computer.The file containing the formulas found by *ufattr* is called *ufattrou*).

**Ultrafractal rendering of dynamical system formulas**

The images with a upr file have been rendered using Ultrafractal. The upr file contains always a formula of a
a planar dynamical
system found by chance by program ufattr.This explains why these formulas are sometime very "strange".
Anyhow,some of these formulas have been "reconstructed" and produced in
the normal algebraic notation: you find these collected here.

**Fractint rendering of dynamical system formulas**

The images with a par file have been rendered using Fractint. These are
all of type *formula* where the formula is a planar dynamical
system found by chance from program ufattr.This explains why these formulas are sometime very "strange".
For the palette I seldom create them but prefer
to use palettes provided with fractint or included in some image available on Internet.

**Other images created with a genetic algorithm**

Most of these images are obtained with a genetic algorithm.
I have an "alphabet" of 16 letters each corresponding to a simple function
like sin(x) that, when applied to each pixel value of a image, will return
a new pixel value and thus a new image. First I generate random "words" from this alphabet with a
maximum of 100 letters. These words are transformed
in images starting from one with all pixels set to 1.
An example of
this first set of around 50 images is seen here.
In the next step
I select 3 of these and in the next set of images half are produced by
random mutations of these 3 ,the rest completely randomly like the first ones. I proceed in this way until I get a promising image that I would look in a bigger size and
eventually save. No attempt is done,up to now, to breed two images.

**About the data base**

If you are curious about how I use Filemaker to maintain the fractal gallery,
you can download the Filemaker
database.All information is kept in the database and I create the html
exporting fields from the database.Note that the database contains only the
URL of images which are stored in many places around the world.

**
What are fractals?
**

Fractals are both natural objects and phenomena
like clouds or videofeedback and also images
produced by very simple computer algorithms.
The most important feature of fractals is the fact
that the same pattern will repeat itself at smaller
scale again and again. Just consider a tree:it is a
fractal since its branches look like smaller trees.
And the smaller branches like even smaller trees,
etc.
I am just starting to capture Nature fractals with a camera.

This page has replaced all my previous fractal galleries. But I keep still them with the names G. Zito pictures, Catalog of fractal images and Explorations in computer graphics .

Have you visited my Algorithmic Image Gallery?