Fractals

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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.

Cantor Set

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cantor b - Fractals 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

DLA – Diffussion Limited Aggregation

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- Fractals https://www.youtube.com/watch?v=h3O1LGe-dBw
Categories: Fractal Types

Koch Curve

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koch 100x75 - Fractals A perfectly self similar fractal curve. This is how it is generated:    
Categories: Encyclopedia, Fractal Types, Historic

Logistic Map – Bifurcation

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logistic map bifurcation 300x300 - Fractals bifurcation diagram
Categories: Fractal Types, Historic

Menger Sponge

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menger sponge 300x300 - Fractals 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

Pi and the Mandelbrot-Set

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pimandel - Fractals http://www.doc.ic.ac.uk/~jb/teaching/jmc/pi-in-mandelbrot.pdf https://www.youtube.com/watch?v=d0vY0CKYhPY
Categories: Fractal Types, Mathematics

Sierpinsky Triangle

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sierpinski - Fractals 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

Zeno’s Paradox – Achilles and the tortoise

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Zeno Achilles Paradox - Fractals 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