On 11/30/06, James Buddenhagen <jbuddenh@gmail.com> wrote:
... Your arrangements are planar (so solve Franklin T. Adams-Watters question). I didn't check carefully, but it appears that the (6 take 3) triangles formed by the distances are non-degenerate, but so far as I can tell neither arrangement can be rearranged in a planar way to give an integer solution to the ambiguous towns problem.
Correct.
I didn't check carefully, so maybe I am missing the point of these arrangements or something.
My only point was to answer FTAW's actual question, which previous attempts at response had failed to achieve. On 11/30/06, James Buddenhagen <jbuddenh@gmail.com> wrote:
... Oops, I forgot that 3 colinear points was a design element in my program, so the above is not all that noteworthy.
Still, nice to see a family. Hang in there! ------------------------------------------------------------------------------------------ I've now got a search program running which copes with equal lengths and possible imaginary faces. I'm not sure it's hoovering up every proper planar integer chart, but there are a lot more than previously --- so far approx 120 up to edge- sum 85, but none more than singly planar. Fred Lunnon