Brain Teasers
Star of David
The Star of David (the star on the flag of Israel) has two superimposed equilateral triangles which produce six line segments and twelve segment intersections. Using this star as a template, arrange the numbers 1 through 12, placing them at the twelve intersections, such that the four numbers on each line segment produce a sum of 26. There is more than one solution.
Answer
One possible solution (starting at the top point and going clockwise around the perimeter): 2, 6, 5, 11, 7, 1, 9, 10, 8, 4, 3, 12. This produces segments of: 2 + 6 + 11 + 7, 5 + 11 + 1 + 9, 7 + 1 + 10 + 8, 9 + 10 + 4 + 3, 8 + 4 + 12 + 2, 3 + 12 + 6 + 5.Hide Answer Show Answer
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