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math.DS2016
The Triple Lattice PETs
Ren Yi
Polytope exchange transformations (PETs) are higher dimensional generalizations of interval exchange transformations (IETs) which have been well-studied for more than 40 years. A g…
math.DS2016
The Tetrahedral Twists
Ren Yi
We introduce a family of piecewise isometries parametrized by on the surface of a regular tetrahedron, which we call the tetrahedral twists. This family of maps…