Watch One Math Formula Weave Pepe the Frog

BEHIND THE WORK

Can pure mathematics draw internet icon Pepe the Frog in a single continuous stroke? Powered by Discrete Fourier Transform (DFT), 280 complex epicyclic vectors rotate in unison to trace every facial contour, droopy eyelid, pupil, and iconic lip curve with exact 0.000mm periodic closure.

Playlist: Fourier Analysis & Harmonic Resonance

Artismathic turns equations into visual art - one function at a time.

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THE MATHEMATICAL RULE

\text{Series using stored project coefficients}

Z(t)=\sum_{j=1}^{N}(a_j+ib_j)e^{2\pi i k_jt},\quad0\leq t\leq1

x(t)=\Re Z(t),\quad y(t)=\Im Z(t),\quad z(t)=0

k_j=\text{K\_FREQS}_j,\quad a_j=\text{RE\_COEFFS}_j,\quad b_j=\text{IM\_COEFFS}_j

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Watch One Math Formula Weave Pepe the Frog

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