Hexagonal tortoise problem

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File:Hexagonal tortoise problem.svg
Choi Seok-jeong's original magic hexagonal tortoise pattern. All the sums of six numbers of each hexagon are the same number, 93. The magic sum varies if the numbers 1 through 30 are rearranged. For example, the magic sum could be 77 through 109.

The hexagonal tortoise problem (KoreanScript error: No such module "Lang".; HanjaScript error: No such module "Lang".; RRScript error: No such module "lang".) was invented by Korean aristocrat and mathematician Choi Seok-jeong (1646–1715). It is a mathematical problem that involves a hexagonal lattice, like the hexagonal pattern on some tortoises' shells, to the (N) vertices of which must be assigned integers (from 1 to N) in such a way that the sum of all integers at the vertices of each hexagon is the same.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. The problem has apparent similarities to a magic square although it is a vertex-magic format rather than an edge-magic form or the more typical rows-of-cells form.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.

His book, Gusuryak, contains many mathematical discoveries.

References

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Sources used

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  • Page Module:Citation/CS1/styles.css has no content.Choe, Heemahn; Choi, Sung-Soon; Moon, Byung-Ro (2003). Cantù-Paz, Erick (ed.). A Hybrid Genetic Algorithm for the Hexagonal Tortoise Problem. Proceedings of the Genetic and Evolutionary Computation (GECCO) Conference, Chicago, IL, USA, July 12–16, 2003. Springer. ISBN 978-3-540-40602-0.


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