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What Happens If a Flat Spiral Folds Into 3D?
曲線と幾何学

What Happens If a Flat Spiral Folds Into 3D?

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 a flat spiral fold itself into a three-dimensional minimal surface?

A point first follows 72 turns in the u–v plane. The Enneper coordinate equations then map every point into x, y, and z, bending the spiral into a self-intersecting saddle with four sweeping wings. The completed form rotates so its full depth remains visible.

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

Music: 'Amber' by VYEN

#MathArt #MinimalSurface #EnneperSurface

作品を生み出す数式

u=rcosθ,v=rsinθu=r cos θ, v=r sin θx=u−u3/3+uv2x=u-u³/3+uv²y=v−v3/3+vu2y=v-v³/3+vu²z=u2−v2z=u²-v²
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