Hyperbola Plotter

xy = k · infinite cascade

Lines

Number of lines12

Lines cascade outward from k₀ indefinitely — increasing the count always adds more curves beyond the last visible one.

Innermost k0.20

Spacing

Step ratio1.60

Each curve's k = previous k × ratio. Larger ratio = wider gaps.

Bunchingeven

<1 compresses gaps near origin · >1 expands them.

Weight & Opacity

Innermost weight1.6

Outermost weight0.5

Innermost opacity1.00

Outermost opacity1.00

Geometry

Rotation45°

Axis skew0°

Zoom1.00×

Background

Tone242

Export

PNG resolution4× (4096px)

Renders offscreen at full resolution — not a screen capture.