25 citations · 30 across the 5 of their papers we have counts for
5 papers
CSLs of the root lattice
Manuela Heuer, Peter Zeiner
Recently, the group of coincidence isometries of the root lattice has been determined providing a classification of these isometries with respect to their coincidence indices…
On the entropy and letter frequencies of powerfree words
Uwe Grimm, Manuela Heuer
We review the recent progress in the investigation of powerfree words, with particular emphasis on binary cubefree and ternary squarefree words. Besides various bounds on the entro…
Similar Sublattices and Coincidence Rotations of the Root Lattice A4 and its Dual
Manuela Heuer
A natural way to describe the Penrose tiling employs the projection method on the basis of the root lattice A4 or its dual. Properties of these lattices are thus related to propert…
Coincidence rotations of the root lattice
Michael Baake, Uwe Grimm, Manuela Heuer +1
The coincidence site lattices of the root lattice are considered, and the statistics of the corresponding coincidence rotations according to their indices is expressed in ter…
Similar sublattices of the root lattice
Michael Baake, Manuela Heuer, Robert V. Moody
Similar sublattices of the root lattice are possible, according to a result of Conway, Rains and Sloane, for each index that is the square of a non-zero integer of the form $…