88 citations · 95 across the 5 of their papers we have counts for
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math.MG1999
Averaged shelling for quasicrystals
Michael Baake, Uwe Grimm, Dieter Joseph +1
The shelling of crystals is concerned with counting the number of atoms on spherical shells of a given radius and a fixed centre. Its straight-forward generalization to quasicrysta…
math-ph1999★ 88 cited
Trace maps, invariants, and some of their applications
Michael Baake, Uwe Grimm, Dieter Joseph
Trace maps of two-letter substitution rules are investigated with special emphasis on the underlying algebraic structure and on the existence of invariants. We illustrate the resul…
cond-mat.dis-nn1999
Modelling Quasicrystal Growth
Uwe Grimm, Dieter Joseph
Understanding the growth of quasicrystals poses a challenging problem, not the least because the quasiperiodic order present in idealized mathematical models of quasicrystals prohi…