Spirograph Generator

Outer radius R: 200 Inner radius r: 130 Pen offset d: 100 Draw speed: 2 Mode Hypocycloid (inner) Epicycloid (outer) Color Rainbow mode Show gears Redraw Clear canvas

Hypocycloid:
x = (R-r)cos(θ) + d·cos((R-r)θ/r)
y = (R-r)sin(θ) − d·sin((R-r)θ/r)

Epicycloid:
x = (R+r)cos(θ) − d·cos((R+r)θ/r)
y = (R+r)sin(θ) − d·sin((R+r)θ/r)