Riemann surface
- Yuki

- 3 days ago
- 1 min read
Some complex functions are "contradictory in the ordinary plane."
Instead of using a single flat surface, stack multiple flat surfaces on top of each other.
Then, in the first order, √z = + and in the second order, √z = − can exist without contradiction.
"Architecture where different levels of space exist within the same location."
For example, a space where you enter the same door but end up on a different floor—like a "door to anywhere."
"Create space to match the function"
Riemann surface as architectural space
topology
mathematics | architecture |
branch point | Well of Light |
2 contacts | Upper and lower exhibition spaces |
branch cut | spiral staircase |
√z | double tier space |








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