Simulating a Water Wave Using a Cycloid
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This Demonstration shows a curtate cycloid, a figure traced by a fixed point in the interior of a rolling circle.
Contributed by: Conrad Benulis (August 2012)
Open content licensed under CC BY-NC-SA
Snapshots
Details
A cycloid has parametric equations:
,
.
To simulate a wave, the 
parameter is inverted. The actual equations used in this Demonstration are:
,
.
The term 
corresponds to the wave height. Almost all Demonstrations of cycloids incorporate the rolling circle for effect. With a little effort, it was possible to show that effect (along with basic wave parameters) by tweaking the original parametric equations.
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