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  1. Mixing by cutting-and-shuffling a hemispherical shell

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    Description: Mixing due to cutting-and-shuffling is studied at a fundamental level using 2D mappings known as Piecewise Isometries (PWI) which can create beautiful mixing patterns. The PWI studied here splits a hemispherical shell (HS) into four curved triangular pieces that are rearranged to make a shuffled HS. Applying the PWI repeatedly...
    Keyword: crd18
    Subject: Engineering Sciences and Applied Mathematics
    Creator: Thomas F. Lynn
    Owner: Scholarly Digital Publishing
    Date Uploaded: 06/04/2018
    Date Modified: 06/04/2018
    Date Created: 2018-04-10
    Rights: In Copyright
    Resource Type: Image
  2. Fractals by cutting-and-shuffling a hemispherical shell

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    Description: A fractal is created by a Piecewise Isometry (PWI) which cuts a 2D object into pieces and rearranges those pieces to recreate the original object in a scrambled form. The PWI studied here splits a hemispherical shell into four pieces along cutting lines and rearranges them into a shuffled hemisphere....
    Keyword: crd18
    Subject: Engineering Sciences and Applied Mathematics
    Creator: Thomas F. Lynn
    Owner: Scholarly Digital Publishing
    Date Uploaded: 06/04/2018
    Date Modified: 06/04/2018
    Date Created: 2018-04-10
    Rights: In Copyright
    Resource Type: Video