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For Your Inspiration: Magnificent Fractals

12/16/2009 - 9:00 am By Diana Adams

Since I love both math and art, I’ve always been fascinated with fractals. The Mandelbrot set is one of the most popular ways to play with fractals, and if you search on the internet, you’ll be able to find a Mandelbrot generator which will allow you to create some mind blowing mathematical pictures. I use the “Mandelbrot on Cocoa” Mac application which I downloaded here: http://mac.brothersoft.com/mandelbrot-on-cocoa.html

There are many confusing fractal definitions out there. This is the simplest definition I’ve come across and it explains it so well. According to http://mathforum.org, “A fractal is a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced-size copy of the whole. Fractals are generally self-similar and independent of scale. Basically, a fractal is any pattern that reveals greater complexity as it is enlarged. Thus, fractals graphically portray the notion of ‘worlds within worlds’ which has obsessed Western culture from its tenth-century beginnings.”

I remember at University I would get all philosophical about fractals, insisting they were a basis for life as we know it. I would see fractals in clouds, snowflakes, tree leaves and everywhere in nature. For your inspiration today, I would like to share some stunning fractals photos below. These are courtesy of http://www.fractal-recursions.com.

More Articles By Diana Adams | Articles: 723

Author: Diana Adams

By day, Diana is the CEO/owner of Adams Consulting Group, Inc, a technology services and business solutions consultancy firm serving the specific needs of its clients in advertising and public relations. By night, she lives and breathes by writing. After publishing a small cookbook last year, she is now working on her new masterpiece, scheduled for publishing next year. “I could write all night long and not get tired of it. I think that is when you know you’ve tapped into a true passion. Whatever that thing may be, if you could do it all day or night long, lose track of time, ‘wake up’ ten hours later, and still thirst for more, that is a passion, and I feel like I’ve found that in my writing.” Diana also spends many hours each week assisting the homeless men and women in Atlanta. You can find her on Twitter at @adamsconsulting.


18 Comments

Lynn Mosher

December 17th, 2009

Fascinating! I love these images. Thank you so much. So very interesting!

[Reply]

Rohaan Solare

December 17th, 2009

STUNNING!!! Digital Jewels of the highest order!

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KC

December 17th, 2009

ditto Lynn and Rohaan. These are absolutely stunning and interesting works of inspiration.

Worlds within worlds. You know the way they get larger as they expand outward reminds me of that toy when we were kids. It was like a red binocular thing and you put in polaroid type insert? What was it called? The shapes would evove like these fractals. Or maybe it was something else. My mind is running from me today… :)

Love these photos, beauty in numbers no doubt.

[Reply]

Diana Adams Reply:

omg… I know exactly what you are talking about, but I can’t think of the name of it either. Haha!

That “worlds within worlds” thing reminds me of when I was little and I would ask my mother, “What if we are really the size of ants living in a much bigger world and we don’t know it?”

Come to think about it, I don’t remember what her answer to that was. :)

[Reply]

KC Reply:

What an inquistive daughter you must have been. I think you’re right, we are like ants living in a world we’re unaware of.

I can picture the army of ants – marching behind the queen aka Di. even when you were a girl you were preparing, huh? :)

What’s that called, dangit!? lol I’m picturing something with dashes. like spirl-a-roo. :)

[Reply]

davidbdale Reply:

Viewmaster (the red plastic kids’ toy).

Vincent

December 17th, 2009

A special kind of art… nice!

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divyasharad

December 17th, 2009

I love all the above designs… hopefully in future am going to get my jewelery designed using these designs………:D

[Reply]

Diana Adams Reply:

Awesome! When you do, let me know, I’d love to see it!

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Joyce

December 18th, 2009

wow! just…wow!

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Sü Smith

December 20th, 2009

Gorgeous! I have such an affinity for fractals. Thanks for the eye candy. :)

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cj madgain

December 22nd, 2009

thanks, Diana. these are like little christmas ornaments.

[Reply]

Diana Adams Reply:

Oh my gosh, you are totally right, these look like little Christmas ornaments. What a great, seemingly obvious, observation. Haha!

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Adam

January 21st, 2010

I remember my Dad (the geophysicist) bringing home beautiful prints of fractals in the early 80′s. Then going to work with him and watching an old SGI computer draw them on screen. Still beautiful today! Thanks for the post and the link.

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ELLIE19@unique-papers.com

February 12th, 2010

I do truly like your famous topic! Can you write the analysis essay for example? Because I do know that a masters paper writing service is able create term papers of superior quality.

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Gareth Botha

May 8th, 2010

Some of these are absolutely stunning! I have been making fractals with Apophysis 3D lately. I’m a big fan. They are tons of fun to create!

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JT

May 11th, 2010

Wow, those are incredible. Math is so amazing. These always remind me of M.C Escher’s work for some reason.

[Reply]

Baby

July 21st, 2010

Wow! These are amazing fractals! I too love fractals! What software did you use to create these?

[Reply]

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