Farris Wheels

point spacing

0.01

view

lines

points

axes

x(t)

1

3

sin(17t)+cos(t)+

1

2

cos(7t)

y(t)sin(t)+

1

2

sin(7t)+

1

3

cos(17t)

z(t)

t



+

1

2

7t



+

1

3



-17t



Different functions, one trigonometric and another exponential, are used to plot the same symmetric graphic; therefore they are equivalent functions. The curve has six-fold symmetry. The trigonometric function is plotted in the Cartesian plane (red curve), and the exponential function is plotted in the complex plane (green curve).