Julia set
English: The Julia set is a fractal. It was first created by the French mathematician Gaston Julia. The set was then long forgotten until Benoît Mandelbrot (who was taught by Julia in the 40s), made a work about it in the early 1980s. See also: Mandelbrot set.
Slovenščina: Juliajeva množica je fraktal. Prvi ga je opisal francoski matematik Gaston Julia. Množica je nato dolgo časa ostala pozabljena, dokler ni o njej v zgodnjih 1980-ih napisal knjige (Juliajev učenec v 40-ih). Glejte tudi: Mandelbrotova množica.
Polski: Zbiór Julii to fraktal. Pierwszy opisał i stworzył go francuski matematyk Gaston Julia. Zobacz też: Zbiór Mandelbrota.
- Julia-Menge
- From the escape-time function
- Special colour-mapping
- Detail of centerpart
- Detail of centerpart
- Highres image
- Highres image
- From the reversed formula.
- From the reversed formula.
- From the reversed formula.
- From the reversed formula.
- Quaternion set, (4D).
- From the reversed formula.
- Time escape Julia set from coordinate (phi-2, phi-1)
- Time escape Julia set from coordinate (1-phi, 0)
- Time escape Julia set from coordinate (-0.297491, -0.641051)
- Image:Time escape Julia set from coordinate (0.285, 0)
- Julia set for c=i made with IIM
- Julia Set using z = z^2 + c, where c = -0.8+0.156i
- Julia Set using z = z^10 + c where c = -0.925 + 0.19i
- Julia Set using z = z^12 + c where c = -0.89511414 + 0.1i
- Level curves of escape time
- Filled-in Julia set
- Binary decomposition of basin of attraction of infinity and finite attractor
- Modified IIM
- Fatou components
- Modified IIM and critical orbit
- Julia set of a cubic polynomial
- z→z²-0.742+0.1i
- Inner Structure of Julias: Cell-like
- Inner Structure of Julias: Binary Fractal
- Inner Structure of Julias: Similarity and Distortion
- Inner Structure of Julias: Cell clusters
- Inner Structure of Julias: Braids
- Inner Structure of Julias: Coccid
Map of Julia sets
- Map of the set.
- Julia set for values of c ranging from -2.2-1.2i to 0.6+1.2i
3D
- 3D slice of a 4D Quaternion set
Animations
- animated zoom of z→z²+c for fixed c
- Julia set fractal animation
- JUlia set (white) for z→z²+c as c changes
- Animated 3D slice of a 4D Quaternion set
Miscellaneous
- a scenery render of a julia set.
- Julia Set in Mandel: Fatou set
- Julia set in Mandel: Structure, see above
- Description of the dynamics inside the Douady's rabbit.