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Results tagged with hyperbolic-geometry
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user 6040
3
votes
Canonical fundamental domain for a discrete subgroup Γ of SL₂(R) acting on hyperbolic plane
I found interesting the question of why we normally use "that" fundamental domain for the action of $PSL_2(\mathbb{Z})$. I thought it worthy of its own answer, though I make no claims that the reasons …
- 565
3
votes
Poincaré disk model: is this locus a known curve?
I imagine the answer to this problem is known, but I don't have a reference for it; if someone has one, I would be interested to see it. Here is my calculation in the upper half-plane.
Following on f …
- 565
19
votes
1
answer
894
views
Locus of equal area hyperbolic triangles
Henry Segerman and I recently considered the following question:
Given a fixed area $A < \pi$ and two fixed points in the upper half-plane model for hyperbolic $2$-space, what is the locus of points …
- 565