Home :: Examples :: Cycloid

Cycloid

Cycloid is the curve defined by the path of a point on the edge of circular wheel as the wheel rolls along a straight line. It is an example of a roulette, a curve generated by a curve rolling on another curve.

The parametric equations for the Cycloid are:

To plot function Cycloid use the folowing script:

# Example
# 2D. Cycloid

# z must be zero
z = 0

# t-parameter
tmin = -10
tmax = 10
tgrid = 400

# Calculations
x = t - sin(t)
y = 1 - cos(t)