← 전체 작품으로SHORT / 039
What Happens If a Flat Spiral Folds Into 3D?
곡선과 기하학

What Happens If a Flat Spiral Folds Into 3D?

번역을 준비 중인 내용은 영어 원문으로 표시합니다.

작품 이야기

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

작품을 만드는 수식

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
그려지는 과정 보기↗

WATCH IT COME TO LIFE

그려지는 과정 보기

재생 버튼을 누르면 YouTube 영상을 불러옵니다.