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 TitleBirthday Hojin (Square) and Circle Hojin
Primary AuthorYoshiteru 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.