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One Unwinding String Becomes Two Gears
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One Unwinding String Becomes Two Gears

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Can an unwinding string build two gears?

Pull a taut string away from a base circle and its tip traces an involute. That same curve forms the flanks of real involute gear teeth. One moving point repeats the construction around 17-tooth and 11-tooth base circles, joining both outlines into one continuous mathematical drawing.

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

Music: 'Exploring The Crystal Caves' by Asher Fulero

#MathArt #Geometry #Gears

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x(u)=r(cosu+usinu)x(u)=r(cos u+u sin u)y(u)=r(sinu−ucosu)y(u)=r(sin u−u cos u)
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