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R=asinɵ
circle
R=a
circle
R=a±asinɵ
cardioid
asin(2ɵ)
(even) 4-leaf rose
asin(3ɵ)
odd(3 leaf rose)
a±bsinɵ
limacon (if a<b, the graph has an extra loop)
R=a²sin(2ɵ)
lemniscate
R=ɵ
spiral of archimedes