Asked by Dam
In Magic Diamond use numbers 1-12. Each row must equal the same sum.
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Answers
Answered by
Vinny
Start with 1 and 2, and subtract (1+2) from the sum 26:
26 - (1+2) = 23.
Now, since the largest number used will be 12 and we've just used 1 and 2, the remaining edge number must be 11:
23 - 12 = 11
So the first edge set is {1,2,11,12},
the next set is {1,3,10,12}, and
the next is {1,4,9,12}
. . . .
. . . .
Thus we get
{1,2,11,12}
{1,3,10,12}
{1,4, 9,12}
{1,4,10,11}
{1,5,8,12}
{1,5,9,11}
{1,6,7,12}
{1,6,8,11}
{1,6,9,10}
{1,7,8,10}
{2,3,9,12}
. . .
. . .
{5,6,7,8}
26 - (1+2) = 23.
Now, since the largest number used will be 12 and we've just used 1 and 2, the remaining edge number must be 11:
23 - 12 = 11
So the first edge set is {1,2,11,12},
the next set is {1,3,10,12}, and
the next is {1,4,9,12}
. . . .
. . . .
Thus we get
{1,2,11,12}
{1,3,10,12}
{1,4, 9,12}
{1,4,10,11}
{1,5,8,12}
{1,5,9,11}
{1,6,7,12}
{1,6,8,11}
{1,6,9,10}
{1,7,8,10}
{2,3,9,12}
. . .
. . .
{5,6,7,8}
Answered by
Dam
Thanks Vinny. But its Diamond with 4 circles each side. one circle common between two sides and the number should not e repeated to use. If i am not mistaken.
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