witzar Posted June 21, 2013 Report Share Posted June 21, 2013 Can you put six points on the plane, so that the distance between any two of them is an integer, and no three are collinear? Quote Link to comment Share on other sites More sharing options...
0 Aaryan Posted June 21, 2013 Report Share Posted June 21, 2013 No, I cannot (do I win?) Quote Link to comment Share on other sites More sharing options...
0 Pickett Posted June 21, 2013 Report Share Posted June 21, 2013 Can you put six points on the plane, so that the distance between any two of them is an integer, and no three are collinear? These 6 coordinates work: (-7225, 0) (7225, 0) (-4025, 6000) (4025, 6000) (-2023, 6936) (2023, 6936) Quote Link to comment Share on other sites More sharing options...
0 witzar Posted June 22, 2013 Author Report Share Posted June 22, 2013 How about seven points? Quote Link to comment Share on other sites More sharing options...
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witzar
Can you put six points on the plane, so that the distance between any two of them is an integer, and no three are collinear?
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