Self-similarity facts for kids
Self similarity around the Feigenbaum point in the Mandelbrot set
Something is self-similar iff it is similar (or very close) to a part of itself. For example, the Mandelbrot set is self similar as it contains an infinte number of almost-exact copies of itself.
Images for kids
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A Koch curve has an infinitely repeating self-similarity when it is magnified.
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Standard (trivial) self-similarity.
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A self-affine fractal with Hausdorff dimension=1.8272.
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An image of the Barnsley fern which exhibits affine self-similarity
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A triangle subdivided repeatedly using barycentric subdivision. The complement of the large circles becomes a Sierpinski carpet
See also
In Spanish: Autosimilitud para niños
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Self-similarity Facts for Kids. Kiddle Encyclopedia.