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Figure 4
(a) Regular icosahedral links with each loop linked to three, six or 12 others. A pair of parallel triangles is coloured blue. (b) Regular icosahedral links with each loop linked to nine, 15 or 18 others. A pair of parallel triangles is coloured blue. (c) Structure map on the unit sphere for the regular icosahedral links of catenated triangles depicted in (a) and (b) and listed in Table 1[link]. The intensity is scaled as log(girth ). Black lines track regions of zero girth. The dashed lines outline an asymmetric unit, of which there are 12 in the point symmetry group [\bar 3m]. The plot confirms that there are 24 structurally distinct zones within each asymmetric unit. Twenty-three are the rl* family. The 24th zone, within the clover-leaf pattern at the top right, is where unlinked triangles exist. Red dots mark the locations of maximum girth for each linked structure.

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ISSN: 2053-2733
Volume 76| Part 5| September 2020| Pages 611-621
https://doi.org/10.1107/S2053273320010669
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