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Groups of piecewise isometric permutations of lattice points, or Finitary rearrangements of tessellations
Through the glasses of didactic reduction, we consider a (periodic) tessellation Δ $\Delta$ of either Euclidean or hyperbolic n $n$ -space M $M$ . By a piecewise isometric rearrangement of Δ $\Delta$ we mean the process of cutting M $M$ along corank-1 tile-faces into finitely many convex polyhedral pieces, and …