Visualization of “Golden Ratio“ as an Irrational Number

z(θ)=e^θi e^(…⋅θi) The visual illustrate a setup where the outer arm is rotating golden ratio times faster than the inner arm. Since the golden ratio is an irrational number with infinite digits, the line would never connect to its starting Position, no matter how long, how fast we run this simulation. If you zoom in you’d always see the gap between those lines.