Timeline for It is well-known that hyperbolic space is delta-hyperbolic, but what is delta?
Current License: CC BY-SA 2.5
6 events
when toggle format | what | by | license | comment | |
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Apr 30, 2010 at 4:21 | comment | added | Matthew Stover | Well, that's what I get for not checking it... | |
Apr 30, 2010 at 4:01 | comment | added | Sam Nead | That second link explains the correct way forward - you want to inscribe a semicircle inside of the triangle, not a circle. Doing the latter will give the in-radius instead of the slimness constant. I don't know what the problem with Wikipedia is - it looks like they are computing the distance between midpoints, but is too large by a factor of two. | |
Apr 30, 2010 at 3:05 | history | edited | Matthew Stover | CC BY-SA 2.5 |
Clarification
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Apr 30, 2010 at 3:05 | comment | added | Matthew Stover | Ahh, I see the confusion. I said radius instead of hyperbolic length. Edit forthcoming. | |
Apr 30, 2010 at 2:50 | comment | added | Matthew Stover | If you make the ideal triangle in the disk model, the $4 \log \phi$ comes from connecting the midpoints. It's the minimum distance between the sides. | |
Apr 30, 2010 at 2:38 | history | answered | Matthew Stover | CC BY-SA 2.5 |