Advances in Smart Systems Research |
Publisher |
Future Technology Publications |
Vol. 4 No. 1 |
Workshop Papers from KES Conferences 2014-15 |
Journal ISSN |
2050-8662 |
|
Article Title | Birthday Hojin (Square) and Circle Hojin |
Primary Author | Yoshiteru Ishida, TUT |
Other Author(s) |
Yuki Tsuzuki; Ryota Kano; Ryo Ochiai
|
Pages |
25 - 31
|
Article ID |
isrp15-008 |
Publication Date |
07-Feb-16 |
Abstract | A Hojin is an n by n square lattice with each cell containing a symbol (such as a number or a letter). Further, these numbers or letters are designed to exhibit symmetry. For example, a magic square is a Hojin where the symmetry embedded is that the numbers in each row, column and a center diagonal have an equal sum. This paper reports a new Hojin: a birthday Hojin and a circle Hojin. The birthday Hojin is the 4 by 4 Hojin with the birthday given as an eight digit numbers (four digit for year; two digit for month; and two digit for day) will be divided four components and embedded in four cells. The circle Hojin on any refinement of a single square can include circle (ellipse) in each square (rectangle) where the circle (the ellipse) is inscribed to the square (rectangle). The sum of the circle (ellipse) area must be equal to the area of the original single circle. |
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Remarks |
This paper was presented at the 19th International Conference on Knowledge-Based and Intelligent Information & Engineering Systems (KES2015), 7, 8 & 9 Sept. 2015, in Singapore. |