One polar equation draws a butterfly: the classic Butterfly Curve explained
TinfoilTricorn · x · 2026-10-12
@mathemetica shares the Butterfly Curve: a single polar equation r = e^sin θ − 2cos(4θ) + sin⁵((2θ−π)/24), traced over 0 to 24π, produces an intricate butterfly. The exponential term expands the outer wings, the cosine term generates the four-fold body symmetry, and the slow fifth-power sine fills the interior with subtle density — simple functions, traced long enough, yield organic-looking forms.
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