There are four common techniques for generating fractals. Escape-time fractals, Iterated function systems, Random fractals, Strange attractors are those four techniques.

Fractals II

In the 17th century, Gottfried Leibniz discovered the mathematics behind fractals. It wasn't until 1872 that Karl Weierstrass gave an example of a function that would today be considered a fractal. Some more of the applications are digital sundial, seismology, signal and image compression, generation of various art forms, and creation of digital photographic enlargements. Here are a few more examples:

-Lindsey

Fractals 2

You can apply these into a lot of things. Heres a list of them: Technical analysis of price series, Digital sundials, Seismology, T-shirts, etc.

There are 3 types of self-similarity in fractals.
Exact self-similarity
Quasi-self-similarity
Statistical self-similarity

Austin Hisel

Fractals 1

Gottfried Lebiniz discovered the fractal in the 17th century. He did this when he considered recursive self similarity. He truly made a mistake though.


Austin Hisel

Fractals

This weeks picture is a fractal. A fractal is a rough or fragmented geometric shape. That is why it has to do with math. This is another example of a fractal. Classification of histopathology slides in medicine, Computer and video game design, especially computer graphics for organic environments and as part of procedural generation, and T-shirts and other fashion are some of the applications.

- Lindsey

Fractals

This weeks picture is of a Fractal. The reason it as to do with math is because it is a rough or fragmented geometric shape that can be split into parts, each of which is a reduced-size copy of the whole.

- Clarence