filled Julia set

GPTKB entity

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
https://www.w3.org/2000/01/rdf-schema#label filled Julia set
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 7