Magic Constant of Order 3 Magic Hexagon

Theorem

The magic constant of the order 3 magic hexagon is $38$.

It is noted that the central cell is $5$, the same as that of the order 3 magic square.


Proof


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Sources

  • Oct 1987: Frank Tapson: 71.25 The Magic Hexagon: An Historical Note (The Mathematical Gazette Vol. 71, no. 457: pp. 217 – 220)  www.jstor.org/stable/3616766
  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $38$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $19$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $38$