## Abstract

Number puzzles have proved an engaging pastime with audiences across

the world. Most notably, Sudoku puzzles appear in many newspapers

and popular magazines, in a variety of forms, in which varying numbers

of clues are provided in incomplete grids. Other mathematical structures have likewise been used as the basis for puzzles based on incomplete grids - for example, Latin Squares and Magic Squares. This article explores the use of Magic Squares with added constraints - the Strictly Concentric Magic Square - for constructing puzzles. In particular, it considers how the strong constraints of the structure affect the number of clues needed for their completion and for providing an enjoyable challenge.

the world. Most notably, Sudoku puzzles appear in many newspapers

and popular magazines, in a variety of forms, in which varying numbers

of clues are provided in incomplete grids. Other mathematical structures have likewise been used as the basis for puzzles based on incomplete grids - for example, Latin Squares and Magic Squares. This article explores the use of Magic Squares with added constraints - the Strictly Concentric Magic Square - for constructing puzzles. In particular, it considers how the strong constraints of the structure affect the number of clues needed for their completion and for providing an enjoyable challenge.

Original language | English |
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Specialist publication | Mathematics Today |

Publication status | Accepted/In press - 6 Oct 2021 |