著者

内田 伏一

出版者

山形大学

雑誌

山形大学紀要. 自然科学 = BULLETIN OF YAMAGATA UNIVERSITY. Natural Science (ISSN:05134692)

巻号頁・発行日

vol.18, no.3, pp.1-24, 2016-02-15

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In this paper, we consider magic squares which contain arithmeticprogressions. Mainly, we consider the magic squares similar to Schaefer's 7-squares. We show how to construct magic squares of order 4k+3 which areof strict Schaefer's type. In general, it is unkown how to construct magicsquares of order 4k+1 which are of the type. However, we succeeded inconstructing magic squares of orders 9 and 13 which are of the type. At theend of this paper, we show an irregular pandiagonal magic 7-square of newclass.

著者

内田 伏一

出版者

山形大学

雑誌

山形大学紀要. 自然科学 = Bulletin of Yamagata University. Natural Science

巻号頁・発行日

vol.15, no.4, pp.135-163, 2004-02-16

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There is a special class of magic squares that are called pan-diagonal magic squares among general magic squares. In this paper, we shall consider a classification of a subclass of pan-diagonal 8×8 magic squares. Key clues for the present investigation are the 4-adic expansion of the entries of magic squares and the transformations of magic squares that are represented by the permutations of rows and columns of the magic squares.

著者

内田 伏一

出版者

山形大学

雑誌

山形大学紀要 自然科学 (ISSN:05134692)

巻号頁・発行日

vol.15, no.4, pp.135-163, 2004-02

---

There is a special class of magic squares that are called pan-diagonal magic squares among general magic squares. In this paper, we shall consider a classification of a subclass of pan-diagonal 8×8 magic squares. Key clues for the present investigation are the 4-adic expansion of the entries of magic squares and the transformations of magic squares that are represented by the permutations of rows and columns of the magic squares.

著者

小林 貞一 高野 道夫 吉田 朋好 一松 信 内田 伏一

出版者

一般社団法人 日本数学会

雑誌

数学 (ISSN:0039470X)

巻号頁・発行日

vol.30, no.4, pp.370-375, 1978-11-22 (Released:2008-12-25)

参考文献数

6