Magic Hexagon

An arrangement of close-packed Hexagons containing the numbers 1, 2, ..., , where is the th Hex Number, such that the numbers along each straight line add up to the same sum. In the above magichexagon, each line (those of lengths 3, 4, and 5) adds up to 38. This is the only magic hexagon of the counting numbers forany size hexagon. It was discovered by C. W. Adams, who worked on the problem from 1910 to 1957.

References

Beeler, M.; Gosper, R. W.; and Schroeppel, R. HAKMEM. Cambridge, MA: MIT Artificial Intelligence Laboratory, Memo AIM-239, Item 49, Feb. 1972.

Gardner, M. ``Permutations and Paradoxes in Combinatorial Mathematics.'' Sci. Amer. 209, 112-119, Aug. 1963.

Honsberger, R. Mathematical Gems I. Washington, DC: Math. Assoc. Amer., pp. 69-76, 1973.

Madachy, J. S. Madachy's Mathematical Recreations. New York: Dover, pp. 100-101, 1979.

• Discontinuous
• Discordant Permutation
• Discrepancy Theorem
• Discrete Distribution
• Discrete Fourier Transform
• Discrete Mathematics
• Discrete Set
• Discrete Uniform Distribution
• Discriminant
• Discriminant (Binary Quadratic Form)
• Discriminant (Elliptic Curve)
• Discriminant (Metric)
• Discriminant (Module)
• Discriminant (Polynomial)
• Discriminant (Quadratic Curve)
• Discriminant (Quadratic Form)
• Discriminant (Second Derivative Test)
• Disdyakis Dodecahedron
• Disdyakis Triacontahedron
• Disjoint
• Disjunction
• Disjunctive Game
• Disk
• Disk Covering Problem
• Disk Lattice Points