Analytic Geometry

Polar Rose Curves

r = cos(nθ) and r = sin(nθ)

  • High school
  • about 3 min
  • 6 of 7 in the family
Not started
8 petals
n = 4 (count)
a = 1.0
r=1cos⁡(4θ)r = 1\cos(4\theta)

Even n → 2n petals, odd → n petals

Rose curves r=a·cos(nθ) are a beautiful example of polar curves. Petal count depends on whether n is even or odd. Try n=3,5,7 for odd-petal flowers.