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

Autor: Gyunuk Kwon, Sang Hu Park, Poo-Sung Park, Seong Woong Choi, Yun Min Song
Rok vydání: 2014
Předmět:
Zdroj: Journal for History of Mathematics. 27:111-125
ISSN: 1226-931X
DOI: 10.14477/jhm.2014.27.2.111
Popis: 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.
Databáze: OpenAIRE