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cardioid equation (sine)
r = a(1±sin θ)
cardioid equation (cosine)
r = a(1±cos θ)
cardioid graph
1 passes through pole

limacon equation (sine)
r = a ± b sin θ
limacon equation (cosine)
r = a ± b cos θ
limacon graph (a>b)
0 passes through pole

limacon graph (a
2 passes through pole

rose curve equation (sine)
r = a sin (nθ)
rose curve equation (cosine)
r = a cos (nθ)
rose curve graph (n = 3,5,7...)
n petals

rose curve graph (n = 2,4,6...)
2n petals

lemniscate equation (sine)
r² = a² sin (2θ)
lemniscate equation (cosine)
r² = a² cos (2θ)
lemniscate graph
chopper

spiral equation
r = exp(aθ)
spiral graph
ayahuasca
