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Jun 18, 2010 at 18:43 comment added Joseph O'Rourke @Ryan: My fault, not yours! Initially I pasted in the wrong quote, and you must have read it in the one minute before I corrected! Mea culpa!
Jun 18, 2010 at 18:23 comment added Ryan Budney I don't understand, didn't your original answer say something about "using algebraic topology it's possible to show..." ?
Jun 18, 2010 at 18:18 comment added Ryan Budney Ah, sorry. Somehow I completely mis-read your answer. It makes sense now and my comments were off-track.
Jun 18, 2010 at 18:11 comment added Ryan Budney I mean, do all the circles have the same radius? Certainly their centres and axis can vary.
Jun 18, 2010 at 17:58 comment added Joseph O'Rourke @Ryan: Yes. "A geometric circle in $R^3$ is the set of points in a fixed plane that lie a fixed positive distance from a center point that lies in the same plane."
Jun 18, 2010 at 17:57 comment added Ryan Budney Does "geometric" mean round with a fixed radius?
Jun 18, 2010 at 17:55 history answered Joseph O'Rourke CC BY-SA 2.5