Re: [math-fun] Plot of Rational Distance Problem triples

Are you only considering points w/ rational coordinates? On 2016-05-18 12:35, Ed Pegg Jr wrote:

http://i.imgur.com/YclyNMC.gif

Take a unit square. Plot a few thousand points (a,b) that are a rational distance from three vertices (all but (1,1)) in black. Plot the inverse point (a,b)/(a^2+b^2) in red.

Can anyone see the ellipse 3 (x^2+ y^2)-4(x+y)+2 x y=0 ?

Or the cubic curve 4 (y^3+ x^3)-3 (y^2+ x^2)+2x y ( 2y+ 2x -1)=0 ?

--Ed Pegg Jr

Points on the ellipse so far:

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