Very nice!<p>I have spend the last hour trying to display the Poincaré disk[1], but to no avail.<p>I have z * ( cos(1.57 * (a^2+b^2+1)^(1/2)) / sin(1.57 * (a^2+b^2+1)^(1/2)) ), which project the coordinates to the infinite on a circle. But this is only a fancy zoom, straight lines are not projected to circles.<p>[1]<a href="https://en.wikipedia.org/wiki/Poincar%C3%A9_disk_model" rel="nofollow">https://en.wikipedia.org/wiki/Poincar%C3%A9_disk_model</a>