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Talk:Poincaré disk model - Wikipedia, the free encyclopedia

Talk:Poincaré disk model

From Wikipedia, the free encyclopedia

The Poincaré metric article seems to be more general, and includes the disk model in its discussion. This article has a lot more details on that specific model, but nothing that wouldn't fit into the larger setting. --Dantheox 22:26, 30 April 2006 (UTC)

The Poincaré metric article is by no means more general; in a lot of ways less general. It focuses on the hyperbolic plane, and on complex analysis. Merging the two would be difficult, and in general a bad idea, I think. Gene Ward Smith 06:04, 1 May 2006 (UTC)

I went ahead an removed the merge tags. It still seems like there's a significant amount of overlap between the two, however, and I'm sure that each could benefit from incorporating some of that material from the other. For example, the Poincaré metric page simply says that the geodesics are "circular arcs whose endpoints are orthogonal to the boundary of the disk." This article goes into lots more detail, with specific equations. --Dantheox 07:06, 1 May 2006 (UTC)

Should the Poincaré metric article also discuss the higher-dimensional case or what is the intention? Pierreback 21:12, 2 May 2006 (UTC)

[edit] Poincaré ball model

Sometimes the Poincaré model is called the Poincaré ball model or the conformal ball model. Perhaps the Poincaré ball model is a better name than Poincaré disk model? The name "ball model" clearly shows that the article also treats the higher-dimensional cases. Pierreback 21:11, 2 May 2006 (UTC)

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