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64 Tetrahedra Hide Inside One Continuous Line
フラクタルと模様

64 Tetrahedra Hide Inside One Continuous Line

翻訳の準備中は英語の原文を表示しています。

作品について

Can one continuous line build a three-dimensional fractal from 64 tetrahedra?

Start with one tetrahedron. Scale it by one half and place one copy at each of its four vertices. Repeating that rule three times creates 4³ = 64 corner tetrahedra. The moving point continuously retraces the connected edge graph, then the completed Sierpinski tetrahedron rotates to reveal its hollow recursive structure.

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

Music: 'Fire In The Sky' by Alex Jones & Xander Jones

#MathArt #Fractal #SierpinskiTetrahedron

作品を生み出す数式

Tn+1=⋃v(Tn+v)/2Tₙ₊₁ = ⋃ᵥ (Tₙ + v)/2
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