This intriguing geometrical/arithmetical artifact caught my eye today. The creator, Louis Hoelbling, calls it a “magical mesh,” and it employs the numbers 2 to 77.
Most of you have seen Magic Squares. Some of you have seen Magical Hexagons. They are similar, but they do have different properties. Magic Squares have rows that are identical in length, and going from the center outward, their arms increase in length by 2 cells. Magical Hexagons have rows that, going from external to internal, have lengths that decrease by one cell each, and going from the center outward, their arms increase by one cell each. My terminology calls Magic Squares as order 2 magic Meshes, and Magical Hexagons as order 3. There are many sided order 2 Magic Meshes, and many sided Order 3 magic Meshes.
The mesh exhibits the magic sum of 304.