Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Computer_graphics
gptkb:art gptkb:signal_processing Nature modeling |
| gptkbp:characterizedBy |
Fractional dimension
Self-similarity |
| gptkbp:coinedBy |
gptkb:Benoit_Mandelbrot
|
| gptkbp:dimensions |
gptkb:Hausdorff_dimension
Box-counting dimension Topological dimension |
| gptkbp:example |
gptkb:Sierpinski_triangle
gptkb:Julia_set gptkb:Mandelbrot_set gptkb:Cantor_set gptkb:Koch_snowflake gptkb:Dragon_curve gptkb:Barnsley_fern |
| gptkbp:firstDescribed |
1975
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fractal
|
| gptkbp:property |
Scale invariance
Can be finite or infinite Irregularity Appears in natural phenomena Can be described by simple rules Can be deterministic or random Can be visualized graphically Detail at every scale Infinite complexity Mathematical set Non-integer dimension Often generated by iteration Recursive structure |
| gptkbp:relatedTo |
gptkb:L-system
gptkb:Chaos_theory Dynamical systems Iterated function system |
| gptkbp:studiedIn |
gptkb:Mathematics
gptkb:Physics Computer science |
| gptkbp:usedFor |
Medical imaging
Image compression Stock market analysis Antenna design Modeling clouds Modeling coastlines Modeling mountains Modeling plants |
| gptkbp:bfsParent |
gptkb:No_Man's_Sky
|
| gptkbp:bfsLayer |
6
|