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6 Terms

1
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rose

r = acos(no) max r val = l a l

2
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inner loop

limacon <1

3
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carniod

limacon = 1

4
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dimpled limacon

limacon 1<a/b<2

5
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convez limacon

limacon a/b_>2

6
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lemniscate

r²=a²cos(20)