Boundary flow
The Julia constant moves between chosen parameters while field-guided particles react to gradients in escape time. Watch the flow rearrange as the fractal changes.
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Ways to watch the field
Orbital paths
Keep c fixed and follow the iteration paths from particle starting points. Repeated steps can produce loops, clusters or outward motion.
Still Julia
Freeze the complex parameter while boundary particles continue moving. Look for repeating details along the boundary without a moving background.
A visual art experiment
Julia Particle is an art experiment, not a mathematical tool. The particles use information from the fractal, such as escape times and boundaries, to decide where to drift, but their motion is chosen for its look and does not model anything. To study Julia sets themselves, use the Julia & Phoenix explorer or read the Julia set guide.
What the four particle modes show
Field Guided moves particles using the sampled escape-time gradient. Boundary Emission spawns particles near detected boundary points. Escape Events uses regions with high and low escape counts to attract or repel particles. Orbital Trapping follows sampled Julia iteration paths. These are visual simulations built from a finite sampling grid; the particles do not define the mathematical Julia set.
Choose the motion and detail
The Julia iteration is z → z² + c. Fractal Animation changes c along a chosen path; Interactive holds it fixed. Speed controls that parameter motion. Iterations set the escape calculation detail, while the particle count is a cap on how many moving points are shown. Field Strength changes the flow response and Emission Rate changes how quickly points appear. Size, opacity, palette and blend mode control their appearance.
Navigate on a phone or desktop
On a phone, start with fewer particles and a lower Quality setting for smoother motion. Open Controls below the canvas to make changes, or use Pause to inspect a frame. Fullscreen preserves the selected mode and settings. Enable Interact to drag or pinch the view; on a computer, drag to pan and scroll to zoom.
Continue exploring Julia sets
Use the Mandelbrot and Julia comparison to choose a constant and understand the relationship between the sets. Read the Julia set guide, explore Mandelbrot Deep Zoom, or browse all fractals.