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Figure 20
The decorated tiles for the Ammann–Beenker tiling. There are four different translation-equivalent rhombus tiles and eight different square tiles. They differ by a rotation by an integer multiple of [{\pi / 4}]. In the case of the rhombus tiles, one has to decide on suitable representatives since the decorated tile possesses a rotation symmetry by π. We decided to pick up as the representatives the rhombus in the picture and its rotations by [{\pi / 4}], [{\pi / 2}] and [{{3\pi} / 4}].

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ISSN: 2053-2733
Volume 79| Part 5| September 2023| Pages 399-411
https://doi.org/10.1107/S2053273323004990
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