Bimagic Squares of Bimagic Squares and an Open Problem

TL;DR

This paper introduces new bimagic squares derived from existing bimagic squares of various orders using simple combination techniques, without programming or advanced mathematics, and discusses an open problem in the field.

Contribution

It presents novel bimagic squares of different orders created through straightforward methods, expanding the known constructions without relying on programming or complex mathematical tools.

Findings

Produced bimagic squares of orders 16x16, 25x25, 49x49, etc.

Used simple combinations with consecutive numbers starting from 1.

Work is based on known 8x8 bimagic squares and new techniques.

Abstract

In this paper we have produced different kinds of bimagic squares based on bimagic squares of order 8x8, 16x16, 25x25, 49x49, etc. A different technique is applied to produce bimagic square of order 16x16, 25x25, 49x49, etc. The bimagic square of order 8x8 used is the already known in the literature. The work is neither based on any programming language nor on mathematical results. Just simple combinations are used to produce these bimagic squares. Moreover, in each case we have used consecutive numbers starting from 1