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How One Line Builds an Infinite Fractal Triangle
Fractals & patterns

How One Line Builds an Infinite Fractal Triangle

BEHIND THE WORK

Can a single unbroken line weave the infinite geometry of the Sierpinski triangle?

Introduced by Waclaw Sierpinski in 1915, the Sierpinski Arrowhead curve uses alternating 60-degree turns to traverse 729 self-similar triangular steps without ever lifting the pen.

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

Music: 'Exploring The Crystal Caves' by Asher Fulero

#MathArt #Fractal #Sierpinski #SacredGeometry #VisualMath

THE MATHEMATICAL RULE

Rule:A−>B−A−B,B−>A+B+ARule: A -> B - A - B, B -> A + B + ATurn:60deg,Order:6(729steps)Turn: 60 deg, Order: 6 (729 steps)FractalDimension:D=ln(3)/ln(2)=1.585Fractal Dimension: D = ln(3)/ln(2) = 1.585
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WATCH IT COME TO LIFE

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