Explore hyperbolic components with comprehensive analysis tools
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Higher detail reveals more at deep zoom levels but renders slower. Increase if period detection fails when zoomed in.
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Render: 256 iterations | Period detection: 1000 iterations
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šView: [-2.5000, 1.5000] Ć [-2.0000, 2.0000]
šZoom: 1.0x
Click on the Mandelbrot set to analyze a point
Select a point to see its Julia set
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Click/Tap to analyze a point
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About PeriodsThe period is the number of iterations before an orbit returns to (near) its starting point
Each hyperbolic componentA connected region in the Mandelbrot set where all points have orbits with the same period (bulb) has a characteristic period.
The main cardioidThe heart-shaped main body of the Mandelbrot set has period 1, the large bulb to the left has period 2, and smaller
bulbs have higher periods following the Farey treeA mathematical structure organizing rational numbers, reflected in the Mandelbrot set's bulb arrangement structure.
ā ļø Limitations
Floating-point precision: JavaScript uses 64-bit floats, limiting zoom to ~1015x. Beyond this, pixels become larger than representable coordinates.
Period detection: High periods (>1000) at deep zoom may fail or timeout. Increase the detail slider if detection fails.
Performance: Higher detail levels (especially 8-10) can slow rendering significantly. The app may freeze briefly during complex calculations.