Timeline for Hyperbolic translation
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 21, 2023 at 13:57 | vote | accept | 123 | ||
| Aug 4, 2021 at 21:11 | comment | added | 123 | Thanks for your comments! | |
| Aug 4, 2021 at 21:10 | answer | added | 123 | timeline score: 3 | |
| Aug 3, 2021 at 18:24 | comment | added | MvG | I take back the claimed two real degrees of freedom; there is only one. I also failed to mention that your work so far followed my guessed interpretation of fixing that line, so most likely my two comments have little practical impact on your task, unless my guess is wrong. | |
| Aug 3, 2021 at 18:11 | comment | added | MvG | Defining $T$ as "the hyperbolic translation such that $T(p)=q$" isn't unique. My guess would be that this is intended to be the translation that fixes the line (i.e. geodesic) connecting $p$ and $q$, but the wording doesn't say so. There is a family of translations matching the wording, parameterized by two real degrees of freedom, e.g. representing the ideal fixed points of the translation. | |
| Aug 1, 2021 at 17:15 | history | edited | 123 | CC BY-SA 4.0 | deleted 2 characters in body |
| Aug 1, 2021 at 17:13 | comment | added | Lee Mosher | Actually, I take that back, because I misread the post: I read the angle as $\pi$ instead of $\pi/2$. | |
| Aug 1, 2021 at 17:12 | comment | added | Magma | @LeeMosher I'm also very curious how this can be solved using neutral geometry, since the answer depends on the hyperbolic distance between $p$ and $q$. | |
| Aug 1, 2021 at 17:07 | comment | added | 123 | @LeeMosher I would most certainly be interested in an answer like that. Any help would be appreciated. | |
| Aug 1, 2021 at 17:01 | comment | added | Lee Mosher | This can be proved in a purely "synthetic" fashion, using neutral geometry axioms/theorems (meaning axioms/theorems that are satisfied by both Euclidean and hyperbolic geometry). Would an answer like that be satisfactory to you? | |
| Aug 1, 2021 at 16:59 | history | edited | 123 | CC BY-SA 4.0 | added 61 characters in body |
| Aug 1, 2021 at 16:59 | comment | added | 123 | Yes! I'll edit the question. | |
| Aug 1, 2021 at 16:52 | comment | added | Ted | I assume the coordinates/equations in your post referring to points inside the unit disc model of the hyperbolic plane? | |
| Aug 1, 2021 at 16:38 | history | asked | 123 | CC BY-SA 4.0 |