26 Nov
2006
26 Nov
'06
8:01 p.m.
So why stop at ambiguity? In principle, it might be possible to choose the 6 (real) edge lengths to provide up to 5 essentially different distance charts. However ... Conjecture: if there are 3 or more assignments of 6 given lengths to edges, all consistent with planarity, then at least one pair of edges has equal lengths; the resulting symmetries render all charts indistinguishable. Now why this might be true? WFL