Version 3.0 / Mathematics in motion
Explore the infinite.
A mathematical playground for complex numbers. Navigate the Julia set, capture your discoveries, and create procedural images directly in your browser.
zn+1 = zn2 + c
JULIA SET / AURORAINITIALIZING
DRAG TO MOVE · SCROLL TO ZOOMRE(c) −0.80000 · IM(c) +0.15600
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Mathematical journeysExplore four interesting Julia-set configurations with one click.
Your discoveries
Saved only in this browser. For a portable discovery use Copy link.
How to explore
Each canvas pixel starts at a complex coordinate z. Repeated application of
z → z² + c reveals the Julia set. Scroll or use + and − to zoom; drag or use touch to move; press 0 to reset. Use Ctrl+Z and Ctrl+Shift+Z for history. Zoom is intentionally limited to 32×: conventional GPU floating-point precision is not sufficient for arbitrary deep zoom. The visual glow is an artistic interpretation, not a mathematical invariant.