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Can 3 and 7 Weave a 3D Knot?
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Can 3 and 7 Weave a 3D Knot?

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 3 and 7 weave a 3D knot?

One point follows x(t) = (2 + 0.65 cos(7t)) cos(3t), y(t) = (2 + 0.65 cos(7t)) sin(3t), and z(t) = 0.65 sin(7t). The 3t terms carry the point around the center three times while 7t twists it around the torus seven times. Together they close into one continuous (3, 7) torus knot.

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

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作品を生み出す数式

x(t)=(2+0.65cos(7t))cos(3t)x(t) = (2 + 0.65 cos(7t)) cos(3t)y(t)=(2+0.65cos(7t))sin(3t)y(t) = (2 + 0.65 cos(7t)) sin(3t)z(t)=0.65sin(7t)z(t) = 0.65 sin(7t)0≤t≤2π0 ≤ t ≤ 2π
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