What happens to a rose curve if #n=r/s# is an irrational number?

1 Answer
Dec 23, 2015

Answer:

There are an infinite number of petals.

Explanation:

If #n# is odd, the rose curve has #n# petals.
If #n# is even, the rose curve has #2n# petals.

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For rational #n#-values, the curve closes at an angle of #theta=pisp#.
If #rs# is odd, #p=1#.
If #rs# is even, #p=2#.

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For irrational #n#-values, there are an infinite number of petals.

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