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Volume 3 Issue 1
Article 1

Article Title: Novel Sliding Puzzles: SudoSlide and LatinSlide

Author: Kung-Ming Tiong & Yen-Peng Lee (detailed information at bottom of article)

Abstract

This article presents a new game combined from the principles of two popular puzzles with simple concepts i.e. Sudoku and the 15 puzzle. We describe our game model and the method of playing the game. The merits of the new game are also briefly discussed.

1. Introduction
In this article, we describe two classes of novel sliding puzzles. They are: (i) SudoSlide, and (ii) LatinSlide. These two new puzzles employ the ideas of both the 15 puzzle and Sudoku.

1.1 The 15 Puzzle
The 15 puzzle was invented by Noyes Chapman in March 1880 in New York. However, many resources wrongly give the credit to Sam Loyd, the American King of Puzzles, who invented many mathematical puzzles [4]. In the 1870s, the 15 puzzle was popular around the world and a substantial number of articles were written in mathematical journals on the puzzle [1], [2].

The 15 puzzle has a grid size where, in the starting position, the squares are filled with fifteen numbers from 1 to 15, with one empty square and the positions of 14 and 15 interchanged as shown in Figure 1. The objective of the game is to slide the numbers, without removing them, to achieve the position shown in Figure 2. It is well known that the 15 puzzle does not have a solution [1].

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