颠倒的魔术,Bimagic,回文广场和毕达哥拉斯定理在回文日- 11.02.2011
Upside Down Magic, Bimagic, Palindromic Squares and Pythagoras Theorem on a Palindromic Day - 11.02.2011
摘要:
在这篇简短的论文中,我们基于回文日11.02.2011制作了不同类型的颠倒幻方。在这一天只出现算法0,1和2。有些幻方是双幻方,有些是回文幻方。3 × 3、4 × 4和5 × 5阶幻方的幻和满足毕达哥拉斯定理。9 x9阶的二进制正方形由4位、6位和8位数字组成。9 × 9阶8位数的二进制平方是回文数。我们已经给出了16 × 16和25 × 25阶的双幻方,其中两种情况下的幻和S1相同。为了使这些幻方颠倒,即,180度旋转,我们使用数字形式的数字。所有这些幻方只有三个数字,0,1和2出现在2011年2月11日。
英文摘要:
In this short paper we have produced different kinds of upside down magic squares based on a palindromic day 11.02.2011. In this day appear only the algorisms 0, 1 and 2. Some of the magic squares are bimagic and some are palindromic. Magic sums of the magic squares of order 3x3, 4x4 and 5x5 satisfies the Pythagoras theorem. Bimagic squares of order 9x9 are produced with 4, 6 and 8 digits. The bimagic square of order 9x9 with 8 digits is of palindromic numbers. We have given bimagic squares of order 16x16 and 25x25, where the magic sum S1 in both the cases is same. In order to make these magic squares upside down, i.e., 180 degrees rotation, we have used the numbers in the digital form. All these magic square are only with three digits, 0, 1 and 2 appearing in the day 11.02.2011.
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