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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

147.0. "A 7 pt problem of Erdos" by HARE::STAN () Fri Sep 14 1984 13:05

Erdos asks: Can you find 7 points in the plane
such that one distance appears once, one two times, ..., one 6 times?
No three points should be on a line, no four on a circle.

			Reference
			---------

Paul Erdos, Combinatorial Problems in Geometry. Math Chronicle. 12(1983)35-54.
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147.1TURTLE::GILBERTSat Sep 15 1984 21:482
Since the problem asks for 7 points, rather than 6 or 5, I assume that there
is a known solution for 6 points.  Could it be supplied here?
147.2HARE::STANSun Sep 16 1984 18:313
I don't have the original article, only a review of it (from Math Reviews).

So readers: can you find a solution with 6 points?