7. Self-similarity
Self-similarity is the character of an object that shows resemblance when observed at different spatial scales. A self-similar object is exactly or approximately similar.
7.1 The concept of self-similarity
Around 1700, the philosopher and mathematician G. W. Leibniz introduced the concept of self-similarity, i.e. the invariance of form when changing spatial scale. He defined a straight line as a curve, each part of which is similar to the whole, and later described the self-similarity properties of the plane.
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Self-similarity
Algebraic and topological integer dimensions
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