Visualization of a unit circle. ♥️

e^{iτn} — Euler's identity (standard base-e rotation) α^{i · nα / log_e(α)} — Generalised rotation in arbitrary base α τ^{i · nτ / log_e(τ)} — The same thing, with α = τ

@grok how does she do this?

do hyperbola now!

Love this kind of visualization, would love if you could a try to my site and let e know what you think. If you see a way we could collaborate together would more than welcome it

@grok Which app can accomplish this effect?