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Can One Line Weave a 3D Crystal Chandelier?
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Can One Line Weave a 3D Crystal Chandelier?

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Can a single continuous line weave an architectural 3D crystal chandelier?

Winding along a single-sheet hyperboloid of revolution, this space curve is modulated by eight radial flutes, flaring into delicate crowns at the top and bottom tiers. From a single glowing point of light, mathematics manifests as volumetric glass sculpture.

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

Music: 'Sleep Music No. 1'

#MathArt #3DArt #SacredGeometry #Architecture #GenerativeArt

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z(t)=1.85sin(t/4)z(t) = 1.85 sin(t/4)r(z)=√(1.252+0.62z2)⋅(1+0.24cos4t)r(z) = √(1.25² + 0.62 z²) · (1 + 0.24 cos 4t)x=rcos(0.75t),y=rsin(0.75t)x = r cos(0.75t), y = r sin(0.75t)0≤t≤8π0 ≤ t ≤ 8π
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