← アーカイブに戻るSHORT / 037
64 Loops Weave a Surface Through Itself
曲線と幾何学

64 Loops Weave a Surface Through Itself

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 reveal a surface that passes through itself?

The point follows 64 cross-sectional loops of the Steiner Roman surface. The slow angle u sweeps across the whole form while the fast angle v draws its repeated loops. Together, the three coordinate equations produce three lobes whose sheets intersect along the center. The construction is shown in stages in the video.

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

Music: 'Moonlight Magic' by Asher Fulero

#MathArt #RomanSurface #Topology

作品を生み出す数式

u=t,v=64t,0≤t≤πu=t, v=64t, 0≤t≤πx=sin(2u)cos2vx=sin(2u)cos²vy=sin(u)sin(2v)y=sin(u)sin(2v)z=cos(u)sin(2v)z=cos(u)sin(2v)
描かれる過程を見る↗

WATCH IT COME TO LIFE

描かれる過程を見る

再生ボタンを押すとYouTubeを読み込みます。