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Figure 8
The topology of the 63 net of kaliophilite; white and dark gray triangles represent tetrahedra pointing down and up, respectively. In all the images, (a), (b) and (c), the shaded hexagons (corolla C) correspond to rings where tetrahedra do not change their orientation in space after reflection in (1-10). In (a) the trace of one of the three mirror planes (1-10), valid only for corolla C, is indicated in blue. (b) The topology of kaliophilite with corolla A (in blue) and corolla B (in red), which are related to each other by the translation vector tAB = (1/3)a − (1/3)b + (1/2)c. (c) The topology of the twin individual, with corolla A′ (in blue), which is obtained by reflecting A across (1-10), and corolla B′ (in red), which is obtained by reflecting B across (1-10).

IUCrJ
Volume 7| Part 6| November 2020| Pages 1070-1083
ISSN: 2052-2525
https://doi.org/10.1107/S2052252520012270