# Spherical Cycloid

Spherical Cycloid

This Demonstration simulates the generation of a spherical cycloid by a point on the edge of a circle rolling without sliding along the edge of another circle (the base circle) on the same sphere (the base sphere).

ω

ω<π/2

ω>π/2

In the extreme cases of or , we get a planar hypocycloid and epicycloid, respectively.

ω=0

ω=π