[Verse 1] Five strangers from distant kingdoms of thought E from compound interest, exponentially caught I from the square root that cannot be found Pi from circles spinning round and round [Verse 2] Zero the void where all counting began One the first step of humanity's plan Who could have guessed these wandering souls Would meet in one equation, making us whole [Chorus] E to the I theta equals cosine theta plus I sine theta Round the circle, exponential spinning like a ballerina E to the I pi plus one equals zero, can you believe it Five fundamental constants unified, mathematical fever [Verse 3] Complex exponential traces perfect arcs Circular motion leaves exponential marks At angle pi you arrive at negative one Add one more and the journey's done [Verse 4] Fourier transforms bloom from this seed Waves become exponentials, fulfilling every need AC circuits hum with this hidden truth Oscillation and growth sharing the same root [Chorus] E to the I theta equals cosine theta plus I sine theta Round the circle, exponential spinning like a ballerina E to the I pi plus one equals zero, can you believe it Five fundamental constants unified, mathematical fever [Bridge] Analysis meets geometry face to face Different branches occupy the same space What seemed separate reveals its disguise Unity beneath mathematical skies [Chorus] E to the I theta equals cosine theta plus I sine theta Round the circle, exponential spinning like a ballerina E to the I pi plus one equals zero, can you believe it Five fundamental constants unified, mathematical fever [Outro] Beauty beyond utility's call One equation connecting them all Euler's identity, forever sublime Mathematics transcendent through space and time
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