Hopf fi breakation
- Yuki

- 3 days ago
- 1 min read
A structure where space is made up of bundles of circles (fibers) → Link (chain link) state
"One of the most beautiful geometric structures in the universe"

"Imagination condition"
category | Set conditions |
Environment settings | A city waterfront. The reflection of structures on the water's surface suggests the symmetry of $S^3$. |
lighting | Twilight (blue hour). The setting is such that the afterglow from within highlights the overlapping curves. |
texture | Parametric ribs (thin grooves) run across the surface, visually emphasizing the flow of curves. |
mathematical purity | Calculating the rotation angle of a torus (ring) to find the balance point between geometric "correctness" and architectural "dynamism." |
Mathematics × Architecture







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