self-similar
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: the result has the property of being self-similar, a magnified portion looks like the whole...
- 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
- 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.
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