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work in progress!

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Even though fractals are generally considered to be mathematical objects the focus of fractalogy.org is primarily on nature, technology and our everyday reality.

We are constantly working on improving the site – until the mathematics section is properly filled, please visit the outstanding site of Paul Bourke for in depth information.

Publish on April,07 2015
by Bernard

The Cantor Set is one of the earliest fractals discovered - by Georg Cantor in 1874 Back then it was one of the socalled "mathematical monsters" - alternativelink How it's generated: Take out the middle third of a line. Then take out each middle third of the 2 new lines - repeat until infinity. [table id=cantor…

Categories: Encyclopedia, Fractal Types, Historic

Publish on June,10 2015
by Bernard

https://www.youtube.com/watch?v=h3O1LGe-dBw

Categories: Fractal Types

Publish on April,07 2015
by Bernard

A perfectly self similar fractal curve. This is how it is generated:

Categories: Encyclopedia, Fractal Types, Historic

Publish on May,27 2015
by Bernard

bifurcation diagram

Categories: Fractal Types, Historic

Publish on May,27 2015
by Bernard

The Menger-sponge is the 3-dimensional version of the Sierpinsky carpet. Fascinating sidefact, a special version of the menger sponge/carpet has a surface area/volume based on Pi! https://www.youtube.com/watch?v=8pj8_zjelDo

Categories: Fractal Types, Historic

Publish on June,06 2015
by Bernard

http://www.doc.ic.ac.uk/~jb/teaching/jmc/pi-in-mandelbrot.pdf https://www.youtube.com/watch?v=d0vY0CKYhPY

Categories: Fractal Types, Mathematics

Publish on April,07 2015
by Bernard

This is the Sierpinsky Triangle. Its generated by drawing a Triangle and then connecting the middle points of each side to form an upside down triangle. And repeat. Generating a Sierpinsky Triangle by playing the "Chaos Game" https://www.youtube.com/watch?v=MBhx4XXJOH8 You can do the same for a square, which will give you the socalled…

Categories: Encyclopedia, Fractal Types, Historic

Publish on May,27 2015
by Bernard

Probably the oldest known example for fractal self similarity is Zeno's Paradox, often called "Achilles and the tortoise"... https://www.youtube.com/watch?v=u7Z9UnWOJNY https://www.youtube.com/watch?v=NG88vL-FwP4

Categories: Fractal Types, Historic