# Software Adaptation and Generalization of Physically-Constrained Games

## TL;DR

This paper explores how advanced mathematics and algorithms can adapt traditional games for smart devices, focusing on the development process and including generalizations of operators and complexity analysis.

## Contribution

It introduces a novel approach to game adaptation using sophisticated mathematical techniques and provides insights into operator generalizations and their computational complexity.

## Key findings

- Generalized circular-shift operator
- Analysis of computational complexity
- Framework for game adaptation on smart devices

## Abstract

In this paper we provide a case study of the use of relatively sophisticated mathematics and algorithms to redefine and adapt a simple traditional game/puzzle to exploit the computational power of smart devices. The focus here is not so much on the end product as it is on the process and considerations underpinning its development. Ancillary results of the venture include generalizations of the circular-shift operator and examination of its computational complexity.