Span 1e−200 to 1e12. Each axis ±1e12.
Keep a coordinate. Come back to it.
Stored on this device. Share a link to keep a separate copy.
Artistic colors follow finite orbit observations. Interior tint follows the observed fixed-point phase. No shade is a proof.
w₀ = 1wₙ₊₁ = exp(wₙ · Log z)
Every pixel samples a complex base z. Move or zoom to compute a new view. The logarithm uses its principal value; the negative real axis has argument +π. Zero is excluded.
Automatic chooses GPU or CPU rendering while preserving the requested iteration limit and antialiasing. Deeper views use perturbation: one orbit is computed with exact-precision arithmetic, and every pixel follows it as a small offset. Image resolution follows the renderer limits below. With Auto, the iteration limit grows as you zoom. This can resolve previously unresolved regions at the same coordinates. Choose a fixed iteration limit to compare views at different magnifications.
Fixed points and period-2 orbits are candidates observed over a finite number of iterations. Crossing |w| > 10¹⁰ does not prove divergence. Dark unresolved pixels are not empty space: they may include slower or longer-period behavior. Features smaller than a pixel can become visible when magnified. Different precision modes can disagree near boundaries and inside chaotic regions.
GPU Ultra renders at display resolution, up to 3× pixel density and 8.3 million pixels, then adds 4 and 16 orbit samples where edges are detected. Use Detail or Shift-drag to fit a small structure to the screen and compute its finer geometry. Moving shows the current image instantly and refines it while you explore; it does not invent detail. Recent completed views are kept in a bounded image cache for returning to them. Color flow slowly rotates the palette without recalculating the fractal. It starts only when you turn it on and pauses in the background.
Minimum span: 1e−200. Reference precision: up to 256 decimal places. Iterations: up to 16,384. GPU images are capped at 8.3 million pixels and 8,192 per side; CPU · FP64 at 1.6 million pixels and 2,048 across; Exact at 72 across. The camera stores 256 decimal places; arithmetic is not interval-certified. Very deep views with high iteration limits can take seconds to refine.
Computation stays in your browser. No account, external computation API or app analytics. Saved views use local storage only when you save them.
Copy this link to reopen the same view.
Up to 10 projects on this device. Export JSON to keep a separate copy.
Ready to export
Save project keeps editable settings on this device; Export video creates a video file. Project JSON keeps a separate editable copy.
Quick and Detailed preview use display budgets; output settings determine the final video. Videos are silent. Computation and files stay on your device.