How many ways can four points be arranged in a plane so that the six distances between pairs of points take on only two different values?

(In reply to by )

We can probably stick to the Euclidean plane. We are measuring sides, not angles, And in any case the figures can be drawn small enough so that the effects of a non-Euclidean would be negligible.

The imaginary plane is Cartesian (analytic algebra) concept, not a geometric one, and is based on the Euclidean plane.

Posted by TomM on 2004-11-21 19:22:13