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Circle
R = asinΘ or R = a
Cardioid
R = a ± asinΘ
(even) 4-Leaf Rose
R = asin(2Θ)
(odd) 3-Leaf Rose
R = asom(3Θ)
Limacon (If a<b, the graph has an extra loop)
R = a ± bsinΘ
Lemniscate
R² = a²sin(2Θ)
Spiral of Archimedes
R = Θ