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http://dx.doi.org/10.14477/jhm.2014.27.2.111

A study on solutions of Jisuguimundo using the range of magic sums  

Kwon, Gyunuk (Changwon Science High School)
Park, Sang Hu (Changwon Science High School)
Song, Yun Min (Changwon Science High School)
Choi, Seong Woong (Changwon Science High School)
Park, Poo-Sung (Dept. of Math. Edu., Kyungnam Univ.)
Publication Information
Journal for History of Mathematics / v.27, no.2, 2014 , pp. 111-125 More about this Journal
Abstract
Jisuguimundo is an inimitable magic hexagon devised by Choi Seok-Jeong, who was the author of GuSuRyak as well as a prime minister in Joseon dynasty. Jisuguimundo, recorded in GuSuRyak, is also known as Hexagonal Tortoise Problem (HTP) because its nine hexagons resemble a tortoise shell. We call the sum of numbers in a hexagon in Jisuguimundo a magic sum, and show that the magic sum of hexagonal tortoise problem of order 2 varies 40 through 62 exactly and that of hexagonal tortoise problem of order 3 varies 77 through 109 exactly. We also find all of the possible solutions for hexagonal tortoise problem of oder 2.
Keywords
Choi Seok-Jeong; Jisuguimundo; Hexagonal Tortoise problem; magic square; magic sum;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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