File:UHS geodesics.png

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Geodesics in upper half space model of three-dimensional hyperbolic space H3. The metric is

Some typical geodesics through one point are shown in black. They appear as semicircular arcs in the upper half space chart. The magenta plane represents the "sphere at infinity", which is located at in this chart.

This is a png image converted by eog from a jpg image created by User:Hillman using Maple.

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Date/TimeThumbnailDimensionsUserComment
current19:27, 28 November 2012Thumbnail for version as of 19:27, 28 November 2012164 × 243 (2 KB)Niklemcropped, added transparency
13:08, 17 April 2007Thumbnail for version as of 13:08, 17 April 2007400 × 400 (2 KB)Melirius{{ShouldBeSVG}} Geodesics in upper half space model of three-dimensional hyperbolic space '''H'''<sup>3</sup>. The metric is :<math> ds^2 = \frac{dx^2+dy^2+dz^2}{x^2}, \; \; 0 < x < \infty, \; \; -infty < y,z < \infty </math> Some typical geodesics throu

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