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¶
Verification¶
Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.
Does it back the claim? Not recorded. Neither this nor any other of the 3 citations of this work carries a recorded support check.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:3420e6084a79 · see in the full table