MAGIC HEXAGON Meaning and
Definition
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A magic hexagon, also known as a geometric magic square or a magic polygon, is a fascinating mathematical concept that revolves around the arrangement of numbers in a hexagonal grid in such a manner that the sum of the numbers located in any straight line within the hexagon, be it horizontal, vertical, or diagonal, always results in the same value. This constant sum is referred to as the "magic constant" or "magic number" of the hexagon.
Like other magic shapes, a magic hexagon typically consists of consecutive numbers, starting from one, that are strategically positioned to ensure the desired magic constant. Each number appears only once, and no number is left out.
While traditional magic squares primarily employ a square grid, magic hexagons offer a unique challenge due to their polygonal shape. The arrangement of numbers in a magic hexagon is often symmetrical, with a central number forming the foundation from which the other numbers are spread out in a symmetric fashion.
These intriguing hexagonal structures have captured the interest of mathematicians, puzzle enthusiasts, and recreational mathematicians, inviting the exploration of their patterns and properties. The study of magic hexagons often involves searching for new arrangements, determining the possible magic constants, and investigating the mathematical relationships that govern them. Magic hexagons not only showcase the elegance and versatility of geometric patterns, but they also provide a stimulating avenue for mathematical exploration and discovery.
Etymology of MAGIC HEXAGON
The etymology of the term "magic hexagon" can be broken down as follows:
1. Magic: The word "magic" comes from the Old Persian word "magush" meaning "sorcerer" or "magician". It eventually entered Latin as "magica" and then Middle English as "magik". In the context of a magic hexagon, "magic" refers to the properties of the hexagon that exhibit a special and often mysterious quality.
2. Hexagon: The term "hexagon" is derived from the Greek word "hexagonon", which combines "hexa" meaning "six" and "gonia" meaning "angle". A hexagon is a polygon with six sides and six angles. The word "hexagon" has been in use since the mid-16th century.
