I just spotted this stuff at David Thompson’s place, and I just wondered. Here’s a suspiciously equiangular one:-
All equiangular or logarithmic spirals follow the general formula
r = ae^(θ*cot k)
where r = radius of spiral at any cumulative angle from zero (radians), a is a coefficient, e is what “e” is, θ = the total of radians turned from r=0, and k is the “characteristic angle”, being the angle between the radius at any point and the tanget at that same point.
Such spirals describe the shape of galaxies, the flare rate of nautilus and mollusc shells, the patterning of sunflower seeds, and the flow of water out of a rotating sprinkler.
Entertaining table-talk for the LA dinner tomorrow!