This link, consisting of two strands, possesses six-fold rotational symmetry.
One possible starting self-similar link:
After one iteration, it consists of eight strands:
After two iterations, it consists of 44 strands:
A second possible starting self-similar link, that is mathematically the same, but visually distinct from the above:
After one iteration, it consists of eight strands:
After two iterations, it consists of 44 strands:
For both the designs above, the holes form Koch islands in the limit of an infinite number of iterations.br> >br>