Talk:Half-space (geometry)

Latest comment: 10 years ago by RawMoose in topic Upper and lower half-spaces

The picture with the red plane dividing R^3 into white space and blue space looks a bit wrong. Shouldn't the blue fill the entire half of the space above the red plane instead of just the one octant?--69.241.225.103 23:33, 22 September 2007 (UTC)Reply

Would seem like that to me also. And I would note that in computer graphics, the words "half-space" are often used more generally, to describe any surface that partitions space into two distinct parts. (An infinitely long cylinder, or any closed shell, would all qualify as half-spaces.) 96.26.243.241 (talk) 07:40, 8 August 2008 (UTC)Reply
it's definitely a mistake. Should be corrected. For now I corrected the title of the image. --205.155.65.233 (talk) 17:01, 8 April 2010 (UTC)Reply

Upper and lower half-spaces

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Presuming that the terms "upper and lower half-space" are names for the regions on either side of the dividing plane, the definition given is only correct in the case when   and  . The most general definitions would be   for an upper half space, and   for a lower half space. These definitions don't say much more than the equations given at the top of the page, and could perhaps be incorporated into that section.

Also, no references are given in which these terms are used. Are they widely-used terms? — Preceding unsigned comment added by RawMoose (talkcontribs) 14:03, 19 December 2013 (UTC)Reply