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Can One Line Fold Into a Dragon?
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Can One Line Fold Into a Dragon?

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Can one line fold into a dragon?

Starting from FX, the rules X → X + YF + and Y → −FX − Y are applied 12 times. F moves the point one step, while + and − turn it exactly 90 degrees. The resulting 4,096 connected segments form the Heighway dragon without lifting the point.

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

Music: 'Eternal Garden' by Dan Henig

#MathArt #Fractal #DragonCurve

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Start:FXStart: FXX→X+YF+X → X + YF +Y→−FX−YY → −FX − YF=moveforwardF = move forward+/−=turn90°+/− = turn 90°n=12→4,096segmentsn = 12 → 4,096 segments
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