advanced

#26 Julia Set

Interactive Julia set with animated parameter

The Julia set uses the same z = z*z + c iteration as the Mandelbrot, but here z starts at the pixel coordinate and c is a fixed complex parameter. Different c values produce wildly different fractals. Animating c along a path creates mesmerizing morphing fractals. Use iMouse to explore interactively.

Key Concepts

Try this shader live in the Shader Sandbox editor with real-time preview.
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Source Code


    


    

      
        
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All Tutorials

      

        
          
            1
            Hello World
          
        
          
            2
            UV Coordinates
          
        
          
            3
            Animation
          
        
          
            4
            Shapes: Circle
          
        
          
            5
            Shapes: Rectangles
          
        
          
            6
            Patterns & Tiling
          
        
          
            7
            Smooth Functions
          
        
          
            8
            Noise
          
        
          
            9
            2D Lighting
          
        
          
            10
            Intro to Raymarching
          
        
          
            11
            Rotation & Transforms
          
        
          
            12
            Color Spaces
          
        
          
            13
            Polar Coordinates
          
        
          
            14
            Domain Repetition
          
        
          
            15
            Smooth Blending (SDF)
          
        
          
            16
            Voronoi Noise
          
        
          
            17
            Glow & Bloom
          
        
          
            18
            Morphing Shapes
          
        
          
            19
            Texture Sampling
          
        
          
            20
            Post Processing
          
        
          
            21
            Domain Warping
          
        
          
            22
            Reflections
          
        
          
            23
            Soft Shadows
          
        
          
            24
            Fog & Atmosphere
          
        
          
            25
            Mandelbrot Fractal
          
        
          
            26
            Julia Set
          
        
          
            27
            Water & Waves
          
        
          
            28
            Fire & Smoke
          
        
          
            29
            3D Domain Repetition
          
        
          
            30
            FBM Terrain