The
Concept of Self-Similarity |

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The concept of self-similarity is crucial
to understanding the nature

of fractal objects. It is a simple idea yet hides an unseen wisdom

about the nature of reality as we know it. Simply put, it is the idea

that the entire universe is contained in a tiny grain of sand, that

every part contains the whole, that every part is, in effect, the whole.

In Hindu mythos, the goddess Indra is often
pictured wearing a hair

net of pearls. It is said that in each pearl, one can see the reflection

of each and every other pearl in the net, demonstrating an ancient

understanding of the holographic nature of our universe.

In fractal mythos, we say that the deeper
you go into a fractal, that is,

the greater you magnify a fractal, the more the image remains the same.

Please refer to our magnification
series 2 which shows a series of twenty-

eight images ranging from a magnification of one to a magnification of an

incredible 1.10 x 10^46 or 11,000,000,000,000,000,000,000,000,000,000,

000,000,000,000,000! Notice how the exact same structures are present

at each level of magnification and that the final image is essentially the

same as the first image.

And just to give you some idea of how great
a magnification 11

quattuordecillion truly is, if we were to lay out the entire original image

at the scale of the most magnified image, we would need a square of paper

whose edge would extend beyond Andromeda!! Over two million light years

away!

(with thanks to Valeria Aleksandrova) at: