Quasi-unit cell description of two-dimensional octagonal quasilattice
arXiv:0810.4734
Abstract
We present a cluster covering scheme to construct the two-dimensional octagonal quasilattice. A quasi-unit cell is successfully found which is a two-color cluster similar to the Gummelt's two-color decagon in five-fold quasilattice. The quasi-unit cells overlap each other following certain covering rules and thus lead to a perfect octagonal quasilattice.
14 pages, 5 figures, 1 table