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self-similar

Syllabification: self-sim·i·lar

Definition of self-similar in English:

adjective

Mathematics
(Of an object or set of objects) similar to itself at a different time, or to a copy of itself on a different scale.
Example sentences
  • We would like to understand the projections of self-similar sets in the plane.
  • He noted that the body is full of fractals, self-similar repeating patterns at different scales, just as nature is full of fractals.
  • A fractal is a mathematical object that is self-similar irrespective of scale.

Derivatives

self-similarity

1
noun
Example sentences
  • Nature builds its fractals using statistical self-similarity: the patterns observed at different magnifications, although not identical, are described by the same statistics.
  • For example, a number of musicians have played with the fractal notion of self-similarity, in which each smaller piece of a structure is a miniature version of the larger structure.
  • The principle of self-similarity that underlies fractal geometry, crucial to the scientific understanding of nature, is reflected in much two-dimensional South African art, including beadwork and mural arts among the Basotho.

Definition of self-similar in:

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