33 citations · 129 across the 12 of their papers we have counts for
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math-ph2005★ 4 cited
Averaged coordination numbers of planar aperiodic tilings
Michael Baake, Uwe Grimm
We consider averaged shelling and coordination numbers of aperiodic tilings. Shelling numbers count the vertices on radial shells around a vertex. Coordination numbers, in turn, co…
math-ph2002★ 15 cited
Combinatorial problems of (quasi-)crystallography
Michael Baake, Uwe Grimm
Several combinatorial problems of (quasi-)crystallography are reviewed with special emphasis on a unified approach, valid for both crystals and quasicrystals. In particular, we con…
math-ph1998
The Entropy of Square-Free Words
Michael Baake, Veit Elser, Uwe Grimm
Finite alphabets of at least three letters permit the construction of square-free words of infinite length. We show that the entropy density is strictly positive and derive reasona…