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Groups of piecewise isometric permutations of lattice points, or Finitary rearrangements of tessellations (Article)

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           _    _     ______   _    _    _    _      ___    
  ____    | || | ||  /_   _// | || | || | || | ||   / _ \\  
 |    \\  | || | ||    | ||   | || | || | || | ||  | / \ || 
 | [] ||  | \\_/ ||   _| ||   | \\_/ || | \\_/ ||  | \_/ || 
 |  __//   \____//   /__//     \____//   \____//    \___//  
 |_|`-`     `---`    `--`       `---`     `---`     `---`   
 `-`
 


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