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

International Tables for Crystallography (2010). Vol. B, ch. 4.6, p. 616   | 1 | 2 |

Figure 4.6.3.30 

W. Steurera* and T. Haibacha

aLaboratory of Crystallography, Department of Materials, ETH Hönggerberg, HCI G 511, Wolfgang-Pauli-Strasse 10, CH-8093 Zurich, Switzerland
Correspondence e-mail:  walter.steurer@mat.ethz.ch

[Figure 4.6.3.30]
Figure 4.6.3.30

The two unit tiles of the 3D Penrose tiling: a prolate [[\alpha_{\rm p} = \hbox{arc} \cos (5^{-1/2}) \simeq 63.44^{\circ}]] and an oblate [(\alpha_{\rm o} = 180^{\circ} - \alpha_{\rm p})] rhombo­hedron with equal edge lengths [a_{\rm r}].