Archimedean & Related Spirals
Exploring spiral families in polar coordinates r = f(θ)
r = aθ
Archimedean
Logarithmic
Fermat's
Hyperbolic
Lituus
a (scale):
1.0
b (log rate):
0.15
Turns:
4
Animate draw
Self-similarity overlay
The Archimedean spiral r = aθ has constant spacing between successive turns (Δr = 2πa). Used by watch springs and vinyl records.