Hexagonal tortoise problem: Difference between revisions

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{{Short description|Mathematical problem}}

The '''hexagonal tortoise problem''' ({{lang-ko|지수귀문도}}, {{lang-zh|地數龜文圖}}, a.k.a. '''jisuguimundo''') was invented by Korean aristocrat and mathematician Seok-jeong Choi, who lived from 1646 to 1715. It is a mathematical problem that involves a hexagonal lattice, like the hexagonal pattern on some tortoises' shells, to the (''N'') [[vertex|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.{{sfn|Choe|Choi|Moon|2003|p=850}} The problem is similar to a [[magic square]].{{sfn|Choe|Choi|Moon|2003|pp=850}}

[[File:hexagonal_tortoise_problem.svg|thumb|upright=1.4|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''' ({{lang-koKorean|지수귀문도}}, {{lang-zh|地數龜文圖|jisugwimundo}}, a.k.a. '''jisuguimundo''') was invented by Korean aristocrat and mathematician [[Choi Seok-jeong]] Choi, who lived from 1646 to 1715(1646–1715). It is a mathematical problem that involves a hexagonal lattice, like the hexagonal pattern on some tortoises' shells, to the (''N'') [[vertexVertex (geometry)|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.{{sfn|Choe|Choi|Moon|2003|p=850}} The problem ishas apparent similarsimilarities 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.{{sfn|Choe|Choi|Moon|2003|ppp=850}}

His book, ''Gusuryak'', contains many mathematical discoveries.

== References ==

=== What supports what ===

{{reflist|

colwidth=20em|

refs=

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=== Sources used ===

{{refbegin|1}}

* {{cite conference|

ref=harv|

conference=Proceedings of the Genetic and Evolutionary Computation (GECCO) Conference, Chicago, IL, USA, July 12–16, 2003|

editor1-first=Erick|editor1-last=Cantù-Paz|

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publisher=Springer|

year=2003|

isbn=9783540406020978-3-540-40602-0

}}

{{refend}}

{{math-stub}}

[[Category:Magic figures]]

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[[Category:Recreational mathematics]]