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Can One Line Fold 4D Space Into 3D?
Dimensions & topology

Can One Line Fold 4D Space Into 3D?

BEHIND THE WORK

Can a single continuous line fold four-dimensional space into 3D art?

Starting from the Clifford torus in 4D space S³ parameterized by z₁(t) = e^{i·5t}/√2 and z₂(t) = e^{i·8t}/√2, this trajectory undergoes a 4D isoclinic rotation before being stereographically projected into our 3D world. A single luminous strand weaves an intricate, self-threading sculpture with breathtaking mathematical harmony.

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

Music: 'Amber' by VYEN

#MathArt #4DGeometry #SacredGeometry #3DArt #Topology

THE MATHEMATICAL RULE

z1(t)=ei⋅5t/√2,z2(t)=ei⋅8t/√2z₁(t) = e^{i·5t}/√2, z₂(t) = e^{i·8t}/√2X(t)=x1′/(1−0.72x4′)X(t) = x₁'/(1 - 0.72 x₄')Y(t)=x2/(1−0.72x4′),Z(t)=x3/(1−0.72x4′)Y(t) = x₂/(1 - 0.72 x₄'), Z(t) = x₃/(1 - 0.72 x₄')
Watch the drawing↗

WATCH IT COME TO LIFE

Watch the drawing

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