Definition:Self-Similarity

Definition

Let $S$ be a geometric object.

$S$ has the property of self-similarity if and only if:

every point of $S$ is contained in a copy of $S$ at a smaller scale.

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Also see

• Results about fractals can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): fractal
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): self-similar
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): fractal
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): self-similar