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math-ph1999
On Inflation Rules for Mosseri-Sadoc Tilings
Zorka Papadopolos, Oleg Ogievetsky
We give the inflation rules for the decorated Mosseri-Sadoc tiles in the projection class of tilings . Dehn invariants related to the stone inflation of the Mosser…
math-ph1999
On Quasiperiodic Space Tilings, Inflation and Dehn Invariants
Oleg Ogievetsky, Zorka Papadopolos
We introduce Dehn invariants as a useful tool in the study of the inflation of quasiperiodic space tilings. The tilings by ``golden tetrahedra'' are considered. We discuss how the…