Saltire Software

Hypocycloid

A hypocycloid is the shape produced by spinning a smaller circle inside a larger circle. While the smaller circle is spinning, a point kept constant on its circumference is tracked. It's locus is shown.

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0.00000 0 360.00000

What is the relationship between n and the number of cusps (sharp end points) in the hypocycloid?

What happens if n is not an integer?

App generated by Geometry Expressions