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Upside Down Magic, Bimagic, Palindromic Squares and Pythagoras Theorem on a Palindromic Day - 11.02.2011

2011/02/11 by Inder J. Taneja, Inder Jeet Taneja, Taneja, Inder Jeet
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Mathematics #Graph Labeling and Dimension Problems #History and Overview (math.HO) #math.HO

paper · pdf · doi:10.48550/arxiv.1102.2394

openalex publication_date 2011/02/11 · arxiv created 2011/02/14 · arxiv updated 2011/02/15 · openalex created_date 2022/08/30 · openalex updated_date 2026/07/28

Abstract

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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