Figure 4.6.3.10

Steurer, W.; Haibach, T.

doi:10.1107/97809553602060000568

International
Tables for
Crystallography
Volume B
Reciprocal space
Edited by U. Shmueli

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International Tables for Crystallography (2006). Vol. B. ch. 4.6, p. 502 | 1 | 2 |

Figure 4.6.3.10

W. Steurer^a ^* and T. Haibach^a

^aLaboratory of Crystallography, Swiss Federal Institute of Technology, CH-8092 Zurich, Switzerland
Correspondence e-mail: w.steurer@kristall.erdw.ethz.ch

Figure 4.6.3.10

Part … LSLLSLSL … of a Fibonacci sequence $[s({\bf r})]$ before and after scaling by the factor τ. L is mapped onto $[\tau \hbox{L}]$ , S onto $[\tau \hbox{S} = \hbox{L}]$ . The vertices of the new sequence are a subset of those of the original sequence (the correspondence is indicated by dashed lines). The residual vertices $[\tau^{2}s({\bf r})]$ , which give when decorating $[\tau s({\bf r})]$ the Fibonacci sequence $[s({\bf r})]$ , form a Fibonacci sequence scaled by a factor $[\tau^{2}]$ .