Namaste Franklin, from the magic squares of Narayana Pandita

TL;DR

This paper demonstrates how to construct Franklin squares of all orders by superimposing two squares, highlighting similarities with Narayana Pandita's magic squares and expanding understanding of their properties.

Contribution

It introduces a method to construct Franklin squares of any order as a superimposition of two squares, connecting them to classical Narayana Pandita's magic squares.

Findings

Franklin squares can be constructed for all orders using superimposition.

Similarities between Franklin and Narayana squares are explored.

The construction method generalizes previous specific cases.

Abstract

Narayana Pandita constructed magic squares as a superimposition of two squares, folded together like palms in the Indian greeting, Namaste. In this article, we show how to construct Franklin squares of every order, as a superimposition of two squares. We also explore the myriad of similarities in construction and properties of Franklin and Narayana squares.