SpiroGyra

t = 0.00 rad0%–

Space - start/pause. R - restart. F - fade

Patterns

Geometry

Gear position

R Fixed ring radius

r Rolling gear radius

d Pen distance

Changing geometry restarts the drawing. Whole numbers close into a loop.

Time and animation

ω Angular velocity (rad/s)

Δt Time step (rad per segment)

τ Head delay (frames between updates)

φ₀ Phase offset (degrees)

φ′ Phase drift (degrees/s)

φ(t) = φ₀ + φ′·t rotates the whole pattern (ring included) while it is drawn.

Appearance

Line weight

Palette (colour by progress)

Fade trail (show only the recent part)

Trail length (rad of t)

Show ring, gear and pen Stop when the curve closes

Spir Gyra