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math-ph1998
Growth Rates in the Quaquaversal Tiling
Brimstone Draco, Lorenzo Sadun, Douglas Van Wieren
Conway and Radin's "quaquaversal" tiling of R^3 is known to exhibit statistical rotational symmetry in the infinite volume limit. A finite patch, however, cannot be perfectly isotr…
math-ph1998
Isomorphism of Hierarchical Structures
Charles Radin, Lorenzo Sadun
We consider hierarchical structures such as Fibonacci sequences and Penrose tilings, and examine the consequences of different choices for the definition of isomorphism. In particu…