Universal Bimagic Squares and the day 10th October 2010 (10.10.10)

TL;DR

This paper introduces the first known universal bimagic squares constructed using only the digits 0, 1, and 2, with specific sizes corresponding to the date 10.10.10 and 10.10.2010, highlighting a novel intersection of magic squares and date symbolism.

Contribution

The paper presents the creation of the first universal bimagic squares of sizes 8x8, 9x9, and 16x16 using limited digits, linking mathematical constructs to specific calendar dates.

Findings

Universal bimagic squares of sizes 8x8, 9x9, and 16x16 were constructed.

Squares use only digits 0, 1, and 2, corresponding to date numerals.

First known examples of such digit-restricted bimagic squares.

Abstract

In this short note we have produced for the first time in the history different kinds of universal bimagic squares. This we have made using only the digits 0,1 and 2. The universal bimagic squares of order 8x8 and 16x16 are with the digits 0 and 1. The universal bimagic square of order 9x9 is with the digits 0, 1 and 2. It is interesting to note that the day 0ctober 10 have only the digits 0 and 1 if we consider it as 10.10.10. If we consider the date as 10.10.2010, then this has the digits 0, 1 and 2.