A mathematical construct
specified by a pair of parametric equation
s. Specific case of the more generic cyclohedron
. Related 2D form
s include hypercycloid
and curtate cycloid
, which are also generalizations.
For a cycloid based on a circle
r with rotation angle
a, the parametric equations are as follows:
An interesting property
of this construct is that the area
under the first dome
-shape (a=0 to a=2pi
) is equal to 8r.