Concepts in Curvature

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Rose

This curve is defined by the following parametric equations:

x(t)=acos⁡(kt)cos⁡(t)y(t)=acos⁡(kt)sin⁡(t)x(t) = a\cos(kt)\cos(t) \\ y(t) = a\cos(kt)\sin(t)
a=3a=3
k=2k=2

Tip: kk controls how many petals the rose has, with odd values of kk producing kk petals and even values of kk producing 2k2k petals.

t=0.000t = 0.000