Fractals and Self Similarity¶
Hutchinson, J. (1981). Fractals and Self Similarity. Indiana University Mathematics Journal, 30(5), 713-747.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Fractal Geometry
- Generating principle: the source of the self-similar structure is identified as exact (a deterministic iterated function system or recursive geometric rule, e.g., Hutchinson's (1981) operator equation `F = ⋃ f_i(F)` with `f_i` contracting similarities of ratio `r_i` satisfying `Σ r_i^d = 1`
This sourceOriginating treatment of the IFS formalism; the Hutchinson operator and existence/uniqueness of self-similar attractors of contraction systems.
- Generating principle: the source of the self-similar structure is identified as exact (a deterministic iterated function system or recursive geometric rule, e.g., Hutchinson's (1981) operator equation `F = ⋃ f_i(F)` with `f_i` contracting similarities of ratio `r_i` satisfying `Σ r_i^d = 1`
Domain-specific¶
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