jasen Posted July 14, 2016 Report Share Posted July 14, 2016 Put number 2,3,5,6,10,12,15,18,20,45,50, and 75 to each line in the picture, so the product of lines which meet in every dot are equal. A*L*H*B = B*G*I*C = C*H*J*D = D*I*K*E = E*J*L*F = F*K*G*A if rotation and reflection are considered as 1 same solution, There are 16 solutions. Quote Link to comment Share on other sites More sharing options...
0 Pickett Posted July 14, 2016 Report Share Posted July 14, 2016 Spoiler For what it's worth, if rotation and reflection are NOT considered one solution, then there are 196 answers... Also, interestingly, all solutions have a product of 27,000. Here's one configuration that works: a=2, b=6, c=3, d=15, e=5, f=10, g=75, h=50, i=20, j=12, k=18, l=45 Quote Link to comment Share on other sites More sharing options...
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jasen
Put number 2,3,5,6,10,12,15,18,20,45,50, and 75 to each line in the picture, so the product of lines which meet in every dot are equal.
A*L*H*B = B*G*I*C = C*H*J*D = D*I*K*E = E*J*L*F = F*K*G*A
if rotation and reflection are considered as 1 same solution, There are 16 solutions.
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