What are Fractals?
A fractal is a reoccurring shape within itself on different scales so it is self-similar. As you zoom into the shape, the exact shape is found again and again within itself in a looping process. This means that a fractal is the same on every scale so it has zoom symmetry!
Self-similarity is the property when something looks the same on different scales. This means that as you zoom in and out of a shape, it still looks the same! Fractals have super cool fine structures in small scales!
Fractals are defined by fractal geometry, not Euclidean geometry.
A seed is the first pattern that is repeated throughout the fractal.
Self-similarity is the property when something looks the same on different scales. This means that as you zoom in and out of a shape, it still looks the same! Fractals have super cool fine structures in small scales!
Fractals are defined by fractal geometry, not Euclidean geometry.
A seed is the first pattern that is repeated throughout the fractal.
Newton |
Mandelbrot fractals |
Sierpinski |
“As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.”
-Albert Einstein
-Albert Einstein
DISCOVER HOW FRACTALS RELATE TO GEOMETRY! |
DISCOVER The History of Fractals!
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Have Fun learning by Doing a Fractal Activity! |