Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:borders |
gptkb:Julia_set
|
| gptkbp:complement |
basin of infinity
|
| gptkbp:definedIn |
set of points in the complex plane whose orbits under iteration of a given polynomial remain bounded
|
| gptkbp:dimensions |
can have fractal dimension
|
| gptkbp:field |
complex dynamics
|
| gptkbp:hasProperty |
compact
connected or disconnected depending on parameter c |
| gptkbp:hasSubgroup |
gptkb:complex_plane
|
| gptkbp:introduced |
gptkb:Gaston_Julia
|
| gptkbp:relatedTo |
gptkb:Julia_set
gptkb:Mandelbrot_set |
| gptkbp:studiedIn |
dynamical systems
fractal geometry |
| gptkbp:typicalPolynomial |
f_c(z) = z^2 + c
|
| gptkbp:visualizes |
escape time algorithm
|
| gptkbp:bfsParent |
gptkb:Julia_sets
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
filled Julia set
|