18-781s12.jpg
Description:
Some rational points on the hyperbola x^2 - 2y^2 = 1. The projection from away from (1,0) gives a bijection with the rational points on the y-axis, with the point (0,-m) going to x = (2m^2 + 1)/(2m^2 - 1), y = 2m/(2m^2 - 1). Image by Abhinav Kumar.
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18-781s12.jpg
Alt text:
Plot of points on x-y axis with both straight and curved lines connecting plotted points.
Caption:
Some rational points on the hyperbola x^2 - 2y^2 = 1. The projection from away from (1,0) gives a bijection with the rational points on the y-axis, with the point (0,-m) going to x = (2m^2 + 1)/(2m^2 - 1), y = 2m/(2m^2 - 1). (Image by Abhinav Kumar.)
Credit:
Image by Abhinav Kumar.
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