Replace the letters in the diagram with a different number from 0 to 9, such that the sum of the four numbers on all edges are the same, and the sum of the three numbers on all three corners are the same.
A
B C
D E F
G H I J
In other words, A+C+F+J = A+B+D+G = G+H+I+J and
A+B+C = D+G+H = F+I+J.
(In reply to
re: Multiple solutions. by wonshot)
A bug in my original program (failure to set taken(g)), resulted in those duplicate digits. Correcting that, we're left with 2 solutions:
8 9
2 4 0 4
6 3 5 2 6 5
1 7 9 0 8 3 7 1

Note that the 3's across the center do add up to a constant in each solution: 14 and 13 respectively, the same as the corner triangles.
These solutions, when rotated and reflected, produce the same twelve as found by Federico Kereki.
Edited on December 3, 2003, 2:18 pm

Posted by Charlie
on 20031203 14:12:03 