188.39.53.201
reverted some changes to Poincaré disk model
editHi 188.39.53.201, and welcome to Wikipedia.
I've reverted some of your changes to Poincaré disk model again. I'm not trying to give you a hard time, but I don't see the benefit of these changes. For example, I feel like "it looks like" is a bit unclear and likely to confuse some readers, when what we are talking about is the relation of the (Euclidean) behavior of points in the Euclidean disk of the projection compared to their (hyperbolic) behavior in the hyperbolic plane.
In my personal opinion, all of the articles about "models" (which more or less means map projections) of the hyperbolic plane would be clearer if they were were described in terms of the hyperboloid as a canonical representation, and if their behavior were explicitly compared to the analogous map projections of the sphere. But I've put off trying to implement such a project because figuring out how to draw attractive and visually clear diagrams of the hyperboloid is tricky.
It would be great if we had much more complete discussion of various features of spherical and hyperbolic geometry, with their relation to Euclidean analogs. The best place to start is probably gathering a good collection of sources (both original historical papers/monographs, ideally with freely available scans and links to translations, and modern textbooks, historical surveys, etc.) with claims clearly linked to sources by page number.
It would be best to have self-contained and moderately complete articles about individual subtopics to take some of the burden off high-level topics trying to cover everything in depth.
Anyway, I'm not trying to discourage you. –jacobolus (t) 18:46, 30 August 2024 (UTC)
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