Beautiful Rose Curves (Rhodonea curves) in polar coordinates.
r = cos(nθ) for different values of n:
Top row (integer n): simple circles and petals
Middle rows (fractional n = p/q): increasingly intricate overlapping patterns
Equations:
• r = cos(nθ)
• r = sin(nθ)
These stunning curves close perfectly when n is rational.
Which n is your favorite?