Type
Cycloid
d = r · brachistochrone & tautochrone
Near-cycloid
d = 0.9r · almost-cusps
Curtate
d = 0.5r · smooth arches
Deep curtate
d = 0.2r · gentle waves
Prolate
d = 1.5r · inner loops
Wide prolate
d = 2.5r · large loops
Arm d/r
1.00
Speed
▶ Slow
▶▶ Normal
▶▶▶ Fast
⊙ Mechanism
Trochoid: circle rolling on a line.
d < r: curtate (smooth bumps).
d = r: cycloid (cusps, brachistochrone).
d > r: prolate (inner loops).
d/r =
1.00
type =
Cycloid
area/arch =
3πr²
θ =
0.000
Presets
— change curve type
d/r slider
— morph continuously
Mechanism
— show/hide gear