Talk:Point (geometry)

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[edit] Dimension?

Since we know that a line has length and curvature, it is a 2 dimensional entity. We also know that a point has no length, so therefore it must have infinite curvature, making it a 1 dimensional entity. --anon

Your definition of "dimension" is wrong. It is not about length or curvature, rather, about how many variables control the object in question. For a line, one variable is enough, so it is one dimensional. The curvature and length have to do with where the line is embedded. If you take it that way, a line has three dimensions, which are length, slope, and curvature. No? Oleg Alexandrov (talk) 10:03, 26 October 2005 (UTC)

Uhm, rather four "dimensions". At least if you add torsion, too... ;D \Mike(z) 10:25, 10 May 2006 (UTC)

Doesn't it seem strange that a point can have 0 dimensions ? When you think of it, it's like it's nothing. I think I challenge that fact. This doesn't mean that I am going to change the article.--Granpire Viking Man 22:20, 14 October 2006 (UTC)

Equally strange to me that a line segment can have one dimension. A line is nothing also in the 3 dimensional world. Well, I just think of degrees of freedom - no where to go if you're stuck on a point in space. Tom Ruen 01:20, 15 October 2006 (UTC)

This is not really strange when you realize the important difference between an entity and a concept. --Profero 11:59, 14 November 2006 (UTC)