Definition of self-similar in English:

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.’
    • ‘Since the creature does not change shape, rather simply grows larger, the most efficient way to do this is for its shell to grow in the self-similar form of a logarithmic spiral.’
    • ‘A fractal is a mathematical object that is self-similar irrespective of scale.’
    • ‘Indeed, nature features many irregular shapes that are self-similar - that repeat themselves on different scales within the same object.’
    • ‘He noted that the body is full of fractals, self-similar repeating patterns at different scales, just as nature is full of fractals.’