Icosahedral quasicrystals: tilings of icosahedral clusters

(Received 13 October 1992, accepted in final form 10 December 1992)

Abstract
Tiling of four canonical cells, proposed by Henley [1], is a promising alternative to the Penrose-tiling and six-dimensional approaches to the structure of icosahedral quasicrystals. In this paper we briefly summarize the firts results of the structural modeling in the i-AlMnSi and i-AlCuLi systems. The understanding of the structure of the stable quasicrystals, like i-AlCuFe and i-AlPdMn, is of course of greatest interest; a possible canonical-cell approach is outlined.