# How Do You Fix an Oval Track Puzzle?

```@article{Nash2018HowDY,
title={How Do You Fix an Oval Track Puzzle?},
author={David A. Nash and Sara L. Randall},
journal={Mathematics Magazine},
year={2018},
volume={91},
pages={348 - 358}
}```
• Published 14 December 2016
• Mathematics
• Mathematics Magazine
The oval track group, \$OT_{n,k}\$, is the subgroup of the symmetric group, \$S_n\$, generated by the basic moves available in a generalized oval track puzzle with \$n\$ tiles and a turntable of size \$k\$. In this paper we completely describe the oval track group for all possible \$n\$ and \$k\$ and use this information to answer the following question: If the tiles are removed from an oval track puzzle, how must they be returned in order to ensure that the puzzle is still solvable? As part of this…

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The oval track puzzle (also known as Top Spin) is a game consisting of 20 numbered tiles in an oval shaped track. Also, there is a fixed window (the swapping window) of 4 tiles that reverses the
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• Physics
• 2009
The oval track puzzle (also known as Top Spin) is a game consisting of 20 numbered tiles in an oval shaped track. Also, there is a fixed window (the swapping window) of 4 tiles that reverses the
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