Journal for History of Mathematics (한국수학사학회지)

The Korean Society for History of Mathematics (한국수학사학회)
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A study on magic labelling of Hadoguodo

하도구오도(河圖九五圖)의 magic labelling에 대한 연구

  • Park, Kyo Sik (Dept. of Math. Edu., Gyeongin National Univ. of Edu.)
  • Received : 2020.06.25
  • Accepted : 2020.12.11
  • Published : 2020.12.31
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Abstract

In this study, how Choi Seok-Jeong made Hadoguodo is presumed. Choi SeokJeong's Hadoguodo does not actually reflect the Hado. But it is verified that Hadoguodo reflecting Hado can be made. In addition, it is verified that Hadoguodo can be made so that not only the sum of the nine numbers of each square are all 207 but also the sum of the nine numbers in the horizontal and vertical directions are all 207.

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References

  1. Choi Seok-Jeong, GuSuRyak (translated by Jeong Hae-Nam, Huh Min), Kyo-Woo-Sa, 2006.
  2. Jeon Yong Hun, Choi Seok-Jeong's magic squares solved after 300 years, Science Dong-A December (1999), 106-113.
  3. Kim Yong Woon, Choi Seok Jeong's magic squares, Journal of the Hanyang University 8 (1974), 437-451.
  4. Kwon Gyunuk et al, A study on solutions of Jisuguimundo using the range of magic sums, Journal for History of Mathematics 27(2) (2014), 111-125. https://doi.org/10.14477/jhm.2014.27.2.111
  5. Song Hong-Yeop, Choi Seok-Jeong made orthogonal Latin squares at least 61 years earlier than Euler, Newsletter of Korean Mathematical Society September (2013), 5-12.