FRACTAL WORLD

WHAT IS A FRACTAL

A fractal is a never ending pattern that repeats itself at different scales.

This property is called “Self-Similarity.”

Fractals are extremely complex, sometimes infinitely complex - meaning you can zoom in and find the same shapes forever.

Amazingly, fractals are extremely simple to make.

A fractal is made by repeating a simple process again and again.

WHERE DO WE FIND FRACTALS

In Nature

Fractals are found all over nature, spanning a huge range of scales.

We find the same patterns again and again, from the tiny branching of our blood vessels and neurons to the branching of trees, lightning bolts, and river networks

Regardless of scale, these patterns are all formed by repeating a simple branching process.

A fractal is a picture that tells the story of the process that created it.

The spiral is another extremely common fractal in nature, found over a huge range of scales

                                                                                      

The plant kingdom is full of spirals.

In Geometry

Purely geometric fractals can be made by repeating a simple process.

A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale.

 Fractals can also be nearly the same at different levels

 Fractals also includes the idea of a detailed pattern that repeats itself

Geometry. Its principles are taught to young students across the world. The Pythagorean theorem. Surface area and volume. 

Pi. This classical, or Euclidean, geometry is perfectly suited for the world that humans have created.

Today, we have merely scratched the surface of what fractal geometry can teach us. Weather patterns, stock market price variations and galaxy clusters have all proven to be fractal in nature, but what will we do with this insight? Where will the rabbit hole take us? The possibilities, like the Mandelbrot set, are infinite

There are many different kinds of fractal images and can be subdivided into several groups.

(IFS) ITERATED FUNCTION SYSTEMS

In mathematics, iterated function systems (IFSs) are a method of constructing fractals; the resulting constructions are always self-similar.

IFS fractals, as they are normally called, can be of any number of dimensions, but are commonly computed and drawn in 2D. The fractal is made up of the union of several copies of itself, each copy being transformed by a function 

STRANGE ATTRACTORS

An attractor is called strange if it has a fractal structure. This is often the case when the dynamics on it are chaotic, but strange nonchaotic attractors also exist.

FRACTAL FLAME

The tone mapping and coloring are designed to display as much of the detail of the fractal as possible, which generally results in a more aesthetically pleasing image.

L-SYSTEM FRACTALS

An L-system or Lindenmayer system is a parallel rewriting system and a type of formal grammar. An L-system consists of an alphabet of symbols that can be used to makestrings, a collection of production rules that expand each symbol into some larger string of symbols, an initial "axiom" string from which to begin construction, and a mechanism for translating the generated strings into geometric structures.

NEWTON FRACTALS

The Newton fractal is a boundary set in the complex plane which is characterized by Newton's method applied to a fixed polynomial.

FRACTAL LANDSPACE

fractal landscape is a surface generated using a stochastic algorithm designed to produce fractal behaviour that mimics the appearance of natural terrain. In other words, the result of the procedure is not a deterministic fractal surface, but rather a random surface that exhibits fractal behaviour.

MANDELBULBS

The Mandelbulb is a three-dimensional fractal, constructed by Daniel White and Paul Nylander using spherical coordinates in 2009

Fractal is very very big and  limitless world..Only imagine and try to do...and see what's going on there.

There are many fractal generators, or software programs, to choose from if you are interested in making, or creating, fractal art. Each of these fractal programs have advantages and disadvantages, and often offer features which are unique to that individual program. Some of these fractal generators are free, others are shareware/trialware, where you can use them for a limited time, or with limited features available.

SOME NICE FRACTALS I FIND ON INTERNET

AND LAST THING,SOME OF MY AMATEUR FRACTAL JOBS

I AM VERY AMATEUR FOR NOW..JUST SHOWING SOME TRAINING WORKS...STILL SEARCHING AND LEARNING ABOUT 

THNKS FOR VISITING