Page "Fractal" Paragraph 5
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The feature of " self-similarity ", for instance, is easily understood by analogy to zooming in with a lens or other device that zooms in on digital images to uncover finer, previously invisible, new structure.
If this is done on fractals, however, no new detail appears ; nothing changes and the same pattern repeats over and over, or for some fractals, nearly the same pattern reappears over and over.
Self-similarity itself is not necessarily counter-intuitive ( e. g., people have pondered self-similarity informally such as in the infinite regress in parallel mirrors or the homunculus, the little man inside the head of the little man inside the head ...).
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