Fractal Creations

What is a Fractal?

The mathematical definition of a fractal is a geometric pattern that is repeated at every level and cannot be represented by classical geometry.

Wikipedia’s definition is "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.

They are irregular at all scales and the more it is magnified, the more details you see.

 

Fractals in Nature

Fractals exist in nature: mountains, coastlines, trees, ferns, lightning, clouds, snowflakes, crystals, the nautilus seashell, sea urchins, and foods such as cauliflower and broccoli are just a few examples.

Fractal Generators or Programs

There are many fractal generators on the web; many are free. A web search for fractal generators or programs will give you a list of choices to try. I downloaded one called ChaosPro just to give it a shot and see what digital art I could create.

Some of my Fractal Creations.

I started with a pre-set fractal and made alterations to the colors, the lighting, the angles, the sharpness, etc. I still have a lot to learn about the program and all the different parameters that can be manipulated.

Look Into My Eye

This was my first attempt. I was very pleased with it and it was so much fun, I was immediately hooked.

I created it using the settings: Distribution.Par/Fantasia.

Blue Bird

I used Ifs.Par/Eagle to create this one.

 

Meet in the Middle

This one was created using the settings: ChaosPro.Par/Myst – I shut off all of the layers except for Volcan.

 

Journey

This was created with the same settings as Meet in the Middle. You can use the same settings but use different areas of the fractal and change other factors and come up with something completely different.

Space Bug

Created with ChaosPro.Par/Sunflares – shutting off the sun layer.

 

Spiraling Downward

This one is not really a spiral but it creates the illusion of one and draws your eye down to the center.

Created with Distribution.Par/GoldenBuddha.

 

Under the Sea

I created this one with Distribution.Par/Spinnennetz.

 

Rainbow

This one is also created with Distribution.Par/Spinnennetz using a different area of the fractal and a different color scheme.

 

Bluebirds of Happiness

Original fractal.
Original fractal.
Created design.
Created design.

I created the original fractal with the settings: Attractor.Par/Peacock.

I took it into Corel Paint Shop Pro X2 and duplicated it, rotated the images, added borders and come up with a symmetrical design that to me, looks like pairs of bluebirds.

 

Love Nature

Original fractal.
Original fractal.
Created design.
Created design.

The original fractal was created in Attractor.Par/Wrestlers.

I took it into Paint Shop and created this heart image using mirror images, added a border and some text. The fractal components look like trees to me, hence the name.

Have Some Fun

Download one of the free programs and try it for yourself. If you export your fractals as jpeg files, you can open them in a photo manipulation program and create beautiful designs. The possibilities are endless!

 

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Comments 18 comments

2uesday profile image

2uesday 6 years ago from - on the web, I am 2uesday.

Wonderful - only thing is now I want to try this and I know I will get hooked on fractal creation because of the lovely colour and designs you have made. You have done really well they are so vibrant. Thank you.


Rose Kolowinski profile image

Rose Kolowinski 6 years ago Author

Thank you 2uesday for you kind comments. It is rather addicting! I have a lot to learn yet, but I like challenges. Keeps the brain working! Thanks again for reading and commenting.


D.A.L. profile image

D.A.L. 6 years ago from Lancashire north west England

Rose if you still have a lot to learn you have made an amazing start. Beautiful designs well done.


Rose Kolowinski profile image

Rose Kolowinski 6 years ago Author

Thank you for the kind comments, D.A.L. I've always liked math and to create beauty with it is amazing! Thanks for stopping by.


chirls profile image

chirls 6 years ago from Indiana (for now)

This is amazing! I am going to bookmark this and try it out myself. Thanks for sharing. :)


Rose Kolowinski profile image

Rose Kolowinski 6 years ago Author

You are very welcome, chirls. I was hooked after my first design! Thanks for stopping by. Have fun!


Catlyn profile image

Catlyn 6 years ago from Somewhere in the OC

Rose - This is fantastic! I am afraid to get started playing around because I already have enough time management issues! I will bookmark this Hub as well!


Rose Kolowinski profile image

Rose Kolowinski 6 years ago Author

That's the biggest problem - finding time to play with these programs! Thanks for stopping by and commenting, Catlyn.


jill of alltrades profile image

jill of alltrades 6 years ago from Philippines

This is so amazing! I too am very fond of fractals. In fact I have long been planning to write something on fractals ever since somebody asked why I did not include it in my hub on patterns in nature. I am still collecting my fractal photos but I am happy that you already wrote a hub about this.

Thanks for sharing Rose!

God bless!


Rose Kolowinski profile image

Rose Kolowinski 6 years ago Author

Thank you jill of alltrades. I can't wait to read your hub about fractals! Thanks for reading and commenting.


Traqqer profile image

Traqqer 6 years ago from Atlanta, GA

Wonderful article...took me back to my earlier days when I first learned about the Mandelbrot set.


Rose Kolowinski profile image

Rose Kolowinski 6 years ago Author

Thanks, Traqqer. Even though I loved math in school, I had never even heard of fractals until recently. It can be addicting! Thanks for stopping by to read and comment!


RunAbstract profile image

RunAbstract 6 years ago from USA

So beautiful! This is most assuredly artwork! I especially love the delicate fractals in "Rainbow". Puts me in mind of laying at the edge of a meadow after a shower, and seeing the natural growth against the background of the reminder of a covenant... Thanks for sharing!


Rose Kolowinski profile image

Rose Kolowinski 6 years ago Author

Thank you, RunAbstract. So glad you enjoyed the hub. Thank you for the nice comment!


kirstenblog profile image

kirstenblog 6 years ago from London UK

I liked your fractals. I have been using a render-er called apophysis (apophysis-j as I am a mac user). I have been looking for a different one, something that creates a different feel to the flame fractals of apophysis. I cannot afford KPT (kai's power tools) for photoshop and there seem to be some serious compatibility issues anyway. I wonder which programs you suggest for a mac running tiger?


Rose Kolowinski profile image

Rose Kolowinski 6 years ago Author

Thank you kirstenblog. Mine are pretty basis. I'm going to be trying some new programs. I don't know much about Mac versions. You might try a web search for Mac fractal programs and see what comes up. There's probably several freeware programs you could try. Thanks for stopping by and I hope you find one that you like.


KU37 profile image

KU37 5 years ago

Awesome! I've been playing with fractalposter.com, but now that I know you can make jpgs, I'll have to try ChaosPro. Thanks - there goes another big chunk of my life! (lol)


Rose Kolowinski profile image

Rose Kolowinski 5 years ago Author

That's the problem with all these cool Internet programs and sites - they take up a lot of your time! Thanks for reading and commenting KU37.

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