Klein quartic surface

A space in which countless triangular orders are hyperbolically folded, resulting in a space that possesses perfect symmetry as a whole.

1. Surfaces of genus 3

   
   

   It has a topology with three holes.

2. 168 symmetries

   
   

   It possesses the greatest symmetry among Riemann surfaces of genus 3.

   
   

   The number "168" is extremely important.

3. Related to hyperbolic geometry

   
   

   It's easier to understand if you think of it not as a plane, but as an order in a space with negative curvature.

「3つの大きな空洞を持つ双曲的な文化ホール」

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Although it appears as an infinite network of triangles, it is actually a single, complete architectural space closed off by 168 symmetry operations.

Mathematical Architecture

space