Quasi-unit cell description of two-dimensional octagonal quasilattice

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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14 pages, 5 figures, 1 table

Scientific paper

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.

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