Fractegrity

Fractal Integrity

Louisville, Colorado 27 Sales On Etsy since 2016

0 out of 5 stars (5)

Fractegrity

Fractal Integrity

Louisville, Colorado | 27 Sales

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Terry Sanders

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Terry Sanders

Announcement    For easy browsing, select a category from the "Items" menu at the left. Check out the organic appearance of the Textures and Backgrounds at any scale!

Use as a resource for digital artwork, craft projects, and other creative uses!

Visit and Like the Fractegrity Facebook page:
https://www.facebook.com/fractegrity/photos_stream?tab=photos_albums

These are computer-generated images derived from the Mandelbrot set, perhaps the most well-known fractal. The posters can be hung on a wall as simply as with thumbtacks, or treat as you wish with framing, matting and/or mounting. Since it is a fractal image, it can be cut up into any size and still seem to be fully scaled. The Backgrounds look whole and complete at any magnification, and a closer look shows surprising detail.

Display the beauty of self-similarity! Use as a mandala for meditation or contemplation! Cover a large blank wall with beauty! Perfect for dorms! Kid rooms, offices and more! Collect them all!

If you see something that you like and would like a made-to-order size, please use the "Request Custom Order" button.

Announcement

Last updated on Feb 7, 2018

For easy browsing, select a category from the "Items" menu at the left. Check out the organic appearance of the Textures and Backgrounds at any scale!

Use as a resource for digital artwork, craft projects, and other creative uses!

Visit and Like the Fractegrity Facebook page:
https://www.facebook.com/fractegrity/photos_stream?tab=photos_albums

These are computer-generated images derived from the Mandelbrot set, perhaps the most well-known fractal. The posters can be hung on a wall as simply as with thumbtacks, or treat as you wish with framing, matting and/or mounting. Since it is a fractal image, it can be cut up into any size and still seem to be fully scaled. The Backgrounds look whole and complete at any magnification, and a closer look shows surprising detail.

Display the beauty of self-similarity! Use as a mandala for meditation or contemplation! Cover a large blank wall with beauty! Perfect for dorms! Kid rooms, offices and more! Collect them all!

If you see something that you like and would like a made-to-order size, please use the "Request Custom Order" button.

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About Fractegrity

Sales 27
On Etsy since 2016

Fractal integrity. Fractegrity.

Can fractal geometry give us a model of workability that can be realized at any scale? Fractal integrity. Fractegrity. Is the same process that supports one’s “inner journey” towards finding fulfilment the same as what would be expressed outwardly at the scale of community, nation and world? Can that model be whole and complete at any scale? Is this a restatement of the golden rule?

Since the first time I saw them, I have been fascinated by fractal geometry, or fractals. I have always liked fractal images; to me they are a reflection of many aspects of nature. The characteristic that draws me to fractals is that they are infinitely self similar but always unique; much like people.

I see fractals as a metaphor for the concept of our perception of reality being influenced by our thoughts. Sometimes it seems as though we are doing the same things over and over. The results we get, our ‘output’, ‘prove’ to us that our beliefs are ‘true.’ Those results are then a starting place for a new iteration, and become the ‘feedback’ that strengthens our belief. This is the equivalent of taking the results of an equation and putting it back into the equation again and then re-calculating., which is the mathematical process of iteration that creates beautiful fractals!

Fractals are, to me, an access to understanding the relationship of chaos to order. With fractals, what appears to be chaos at one scale of magnification can appear to be organized in some recognizable order at another scale of magnification. Alan Watts gave the example of a rope; the observing of a rope shows an organized series of fibers aligned in a particular way. If one were to look under a microscope, the appearance of the fibers would seem quite chaotic. Maybe our perception of order and chaos has more to do with how close we are to a situation, and from different perspectives one could see order in the chaos and chaos in the order.

One of the aspects I love about fractals is the feeling of "play" around them. The complex math involved includes an "imaginary" number. An imaginary number is a number that gives a negative result when squared. The name "imaginary number" was originally coined in the 17th century as a derogatory term as such numbers were regarded by some as fictitious or useless, but today they have essential, concrete applications in a variety of scientific and related areas. The rise of computers opened up the possibility of playing more fully with mathematics. With fractals, the calculations involved are repetitive, boring and number in the millions. To produce the Mandelbrot Set on a single screen takes more than 6,000,000 calculations,,even more if the iteration limit is set high to increase detail. No human could endure the boredom, but a computer will. Computers are particularly good at mindless repetition. The computer is our telescope, our microscope and our art gallery.

So, have fun, and may you find awe wherever you look>

Shop members

  • Terry Sanders

    Owner

    Be the change you want to see in the world and the world around you will change.

Shop policies

Last updated on March 4, 2016
Thanks for visiting! May you find beauty and awe wherever you look.

Accepted payment methods

Accepts Etsy Gift Cards and Etsy Credits
Returns and exchanges
If there is a disappointment with your order, please contact me and I'll be happy to help resolve the issue.
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Please pay for anything you choose to use.
Shipping
All items are shipped within2-3 business days upon receipt of payment
Additional policies and FAQs
If you see something you like, but would like a different size or material, please contact me to discuss a custom order.
Thank you!