Phyllotactic spirals

Golden ratio: $\phi = \frac{1 + \sqrt 5}{2}$
Golden angle: $g = \frac{2\pi}{\phi^2}$



Spirals to show:

(Connect every dot to the next in sequence)
(Connect every dot $n$ to dot $n+2$)










(Type in your own interval.)
(An algorithm connects each dot to two others, using the Fibonacci intervals that give the best approximation to a right angle.)