Journey on the Complex Plane by means of a Bidimensional Hilbert Curve -iteration 4- with display of Julia sets [Voyage dans le plan complexe à l'aide d'une courbe de Hilbert bidimensionnelle -itération 4- avec visualisation d'ensembles de Julia].




Starting from the bottom left corner of the [-1,+1]x[-1,+1] square, on each "node" of a bidimensional Hilbert curve -iteration 4- (defined inside this square instead of the usual [0,+1]x[0,+1] one), a Julia Set is computed and displayed. The background exhibit the Mandebrot set that is the set of the connected Julia sets.


See some related pictures (including this one):

See the used color set to display the Julia sets.


(CMAP28 WWW site: this page was created on 12/09/2022 and last updated on 01/16/2025 11:27:15 -CET-)



[See the generator of this picture [Voir le générateur de cette image]]

[See all related pictures (including this one) [Voir toutes les images associées (incluant celle-ci)]]

[Please visit the related DeterministicFractalGeometry picture gallery [Visitez la galerie d'images DeterministicFractalGeometry associée]]

[Go back to AVirtualMachineForExploringSpaceTimeAndBeyond [Retour à AVirtualMachineForExploringSpaceTimeAndBeyond]]

[The Y2K Bug [Le bug de l'an 2000]]

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[Mail [Courrier]]
[About Pictures and Animations [A Propos des Images et des Animations]]


Copyright © Jean-François COLONNA, 2022-2025.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2022-2025.