Common Spirals

General parametric equation:

x(θ) = r(θ)·cos(θ)

y(θ) = r(θ)·sin(θ)

The radius r(θ) if different for each type of curve:

Archimedes spiral - r(θ) = θ !!!

Fermat spiral - r(θ) =  θ !!!

Logarithmic spiral - r(θ) = e^a·θ !!!

Golden spiral - r(θ) = φ^2π·θ !!!

Hyperbolic spiral - r(θ) = 1θ !!!

Lituus - r(θ) = 1 θ !!!

Tip: Click "Calculate" to see the respective plot.