Concept information
Terme préférentiel
fractal
Définition(s)
-
In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illustrated in successive magnifications of the Mandelbrot set. This exhibition of similar patterns at increasingly smaller scales is called self-similarity, also known as expanding symmetry or unfolding symmetry; if this replication is exactly the same at every scale, as in the Menger sponge, the shape is called affine self-similar. Fractal geometry lies within the mathematical branch of measure theory.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Fractal)
Concept(s) générique(s)
Concept(s) spécifique(s)
- Artin-Mazur zeta function
- Barnsley fern
- Cantor function
- Cantor set
- Carotid-Kundalini function
- dragon curve
- fractal canopy
- fractal dimension
- Hausdorff measure
- Hénon map
- H tree
- Hutchinson operator
- Ikeda map
- Koch snowflake
- Kolakoski sequence
- mandelbox
- Mandelbrot set
- Mandelbulb
- Menger sponge
- pinwheel tiling
- Pythagoras tree
- scale invariance
- self-similarity
- Sierpiński carpet
- Volterra's function
- Weierstrass function
Traductions
-
français
URI
http://data.loterre.fr/ark:/67375/PSR-RMSGDZWM-G
{{label}}
{{#each values }} {{! loop through ConceptPropertyValue objects }}
{{#if prefLabel }}
{{/if}}
{{/each}}
{{#if notation }}{{ notation }} {{/if}}{{ prefLabel }}
{{#ifDifferentLabelLang lang }} ({{ lang }}){{/ifDifferentLabelLang}}
{{#if vocabName }}
{{ vocabName }}
{{/if}}