Visual Math
Escape-Time Fractals
Explore escape-time fractals in the complex plane with smooth coloring, Julia handoff, and shareable sessions.
Scratchpad (not saved)
Save to create a persistent, shareable workspace.
Complex Plane View
Pan to explore, pinch or wheel to zoom, and hover to inspect coordinates.
Render 0 msWaiting for sizeCPU
mandelbrot
220 iterations
Math Notes
Membership is based on whether the orbit of 0 stays bounded under repeated squaring plus c.
Viewport
x [-2.5000, 1.0000], y [-1.3500, 1.3500]
Current View
- Bounds
- x [-2.5000, 1.0000], y [-1.3500, 1.3500]
- Palette
- Midnight
- Selected preset
- Custom view
Exploration Tips
- Use presets to jump to mathematically interesting regions instead of random zooming.
- Higher iteration counts reveal more boundary detail but increase render cost.
- In Mandelbrot mode, hover or click a point to study the related Julia set.
- Burning Ship responds strongly to tiny viewport shifts; zoom slowly once you find structure.
Recommended Tools
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- The Fractal Geometry of Nature (Mandelbrot) - Mandelbrot's own book on the geometry behind fractals.
- Chaos: Making a New Science (Gleick) - The classic popular account of chaos theory and fractals.