Timeline for Is it possible to find an infinite set of points in the 3D space where the distance between any pair is rational?
Current License: CC BY-SA 3.0
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Oct 24, 2016 at 7:18 | vote | accept | CommunityBot | ||
Oct 24, 2016 at 6:01 | comment | added | Robert Z | @user.3710634 Yes, excluding $(0,0,\sqrt{3})$ and adding points $(0,0,\frac{2m}{m^2-1})$ is fine. | |
Oct 23, 2016 at 21:08 | comment | added | user370634 | Fine, but let to generalize this solution somehow. By adding the points $(0,0,\frac {2m}{m^2-1})$, $m≠±1$ where $m$ is an integer, to our set and excluding $(0,0,\sqrt{3})$, does we get a more general solution? If yes, then Is this the most general form of the solution? I ask this question based on the comments of 'zyx' on this page: math.stackexchange.com/questions/1978452/… | |
Oct 22, 2016 at 10:18 | history | edited | Robert Z | CC BY-SA 3.0 |
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Oct 22, 2016 at 9:42 | history | edited | Robert Z | CC BY-SA 3.0 |
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Oct 22, 2016 at 9:36 | history | edited | Robert Z | CC BY-SA 3.0 |
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Oct 22, 2016 at 9:25 | history | edited | Robert Z | CC BY-SA 3.0 |
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Oct 22, 2016 at 9:09 | history | edited | Robert Z | CC BY-SA 3.0 |
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Oct 22, 2016 at 8:45 | history | answered | Robert Z | CC BY-SA 3.0 |