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fractalis “a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,” a property called self-similarity.

## Simply complex

Amazing that those landscapes were generated by a few lines of computer code based on: z = z2 + c. Take a number, multiply it by itself, and add the original number. Such beautiful infinite complexity created from a simple equation.

It’s too bad that I disliked math classes in school. -Math makes my head hurt. However, I can see and appreciate the beauty in it. It is amazing to me how our world is designed with such ordered and complex, yet seemingly chaotic elements and architecture. Math and art are everywhere. Since nature is built on mathematical principles, perhaps my love of creation makes up for my dislike of math in some small way.

- Hidden beauty embedded in numbers– Read more about fractals here.
- Check out these: 45 Amazing Examples of Fractal Art
- Mandlebrot Set – Wikipedia

We’re all familiar with fractals in our universe: snow flakes, crystals, trees, clouds, mountain ranges, lightning, river networks, animal coloration patterns, ect. I’ve read that recent theories of quantum gravity describe a fractal structure for spacetime itself. Even our bodies can be understood in terms of fractional engineering down to the structure of our DNA.

…Fractals are also fun to make.

## Programs to make your own fractals:

**Apophysis** | An open source fractal flame editor/render (**Video tutorial**)

**GNU XaoS** | Free fast interactive fractal zoomer

**Incendia** | 3D Multiprocessor Fractal Engine

**Electric Sheep** | collaborative abstract artwork

**Ultra Fractal ** | Offers a free 30 day trial

** FractalMakerDCR** |An online fractal maker

**Gimp **| **Fractal Explorer **(**Video tutorial)**

featured image art *NonInteger Multibrot Breaking of Space* by Nmondal

That’s awesome. I love math, but I never would have known about this one without you telling me :)

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Hi Justus,

Fantastic, glad to know you like math –Somebody has to!

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I think that symmetry has always carried an inherent attraction to us humans – hence one of the reasons that we find fractals and art based on fractals to be so beautiful.

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Hi Mario,

I think so too. In art -I like asymmetrical also, an unbalanced composition is more dynamic. I like them both but, on people symmetry is certainly more attractive =)

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NOVA produced a GREAT show about fractals;

http://www.ovguide.com/movies_tv/nova_fractals_hunting_the_hidden_dimension.htm

I’ve long been a huge fan & was sorry to hear that Mandelbrot passed last year. Fractals are EVERYWHERE in nature–order in a seemingly chaotic universe!

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Hi Lana,

I want to see that. Thanks for the link, hope you dont mind I edited it from Amazon to a place to watch it online free.

That is sad about his death last year, I didnt know that. Our universe and nature is so amazing, and the more we discover the more amazing it gets. :)

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Thanks for liking my post. I love your site and all the wonderful links you have put in it. Wish I was more of a graphics person…

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Hi Joanna,

You’re welcome and thank you.

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Jayme, You always find the coolest stuff! Love this website. Love it.

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Hi Janene, Thank you so much.

& Happy blog anniversary to you :)

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Cool videos!

I have always hated maths myself and never been particularly good at it, so I guess it’s a bit ironic that I make mathematically generated art =D

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Hi Hanne,

Thanks for stopping by.

A bit ironic perhaps but very beautiful! =)

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Excellent topic, you really can create excellent patterns with different formulas. You have provided some really good resources to get working with fractal images. You might like to look at this too: http://math.rice.edu/~lanius/frac/

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Hey Phoxis,

I think it’s cool too. Thanks for the link! Maybe I can learn something about fractal geometry.

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I love fractals. :)

P.S. I also like your new header.

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Hey TT,

Me too! Thank you. I changed to the Duster theme, and wanted to match the blue links. :)

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very nice video. . .cool blog. .. thanks for sharing

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Hi Mas,

Thank you, and thanks for stopping by –glad you liked it.

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