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Level 388

Special Polar Graphs


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Limaçons
r= a+- bcos(theta), r= a+-bsin(theta)
A/b<1
Limaçon with inner loop
A/b= 1
Cardioid (Heart-shaped)
1<a/b<2
Dimpled limaçon
A/b>= 2
Convex limaçon
Rose curves
n petals if n is odd, 2n petals if n is even (n>=2)
r=acosn(theta)
Rose Curve
r= acosn(theta)
Rose curve
r= asinn(theta)
Rose curve
Circle
r= acos(theta)
Circle
r= asin(theta)
Lemniscate
r^2= a^2sin2(theta)
Lemniscate
r^2= a^2cos2(theta)
r= theta
Archimedes' Spiral