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Identifier 000364796
Title Cube surrounding and Tilings
Author Κωνσταντούλας, Ιωάννης
Thesis advisor Κολουντζάκης, Μιχάλης
Collaborator Μήτσης, Θεμιστοκλής
Παπαδημητράκης, Μιχάλης
Abstract In this work we show that the union of an axis-aligned cube and rectangle in Rd whose intersection has even codimension does not con- stitute a tile by translations in the special case where all sides of the rectangle have length greater than one. This complements a result of M. Kolountzakis who showed that in the odd codimension case, the union tiles the space by translations.
Language English
Subject Tilings
Issue date 2011-01-28
Collection   School/Department--School of Sciences and Engineering--Department of Mathematics--Post-graduate theses
  Type of Work--Post-graduate theses
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