M. Baake et al., DEFECTIVE VERTICES IN PERFECT ICOSAHEDRAL QUASI-CRYSTALS, Acta crystallographica. Section A, Foundations of crystallography, 51, 1995, pp. 587-588
All combinatorially possible vertex configurations of the two rhombohe
dral prototiles of the primitive icosahedral tiling can be locally emb
edded into the perfect tiling. They can be created and relaxed by simp
leton flips.