view article
Figure 7
The local configurations of n-gons around a central one are characterized by the sequence of the number of free edges of the central n-gon that are between two consecutive connections. Here, for example, 9-gon tilings are shown with coordination p = 3 of configurations from (a) to (c): (1,1,4), (1,2,3) and (2,2,2). The configuration (a) (1,1,4) generates no periodic pattern of non-overlapping n-gons because the centre ω lies outside the triangle formed by the centres of the three adjacent n-gons. For the coordination p = 4, there is only one configuration (1,1,1,2) issued from (a) and shown in (d); but it leads to a non-monogeneous pattern since there are two kinds of n-gons, one (in grey) of coordination 4 and the other (in white) of coordination 2.

Journal logoFOUNDATIONS
ADVANCES
ISSN: 2053-2733
Volume 72| Part 1| January 2016| Pages 55-61
doi:10.1107/S2053273315018197
Follow Acta Cryst. A
Sign up for e-alerts
E-alerts
Follow Acta Cryst. on Twitter
Twitter
Follow us on facebook
Facebook
Sign up for RSS feeds
RSS