Ignoring the crossing order, this knot possesses bilateral symmetry.

One possible starting self-similar knot is shown below. This particular arrangement was chosen to allow minimal shrinkage between successive generations, so that a large number of generations could be visible at once. Before introducing self similarity, the knot was first redrawn as shown using Reidemeister moves.

After one iteration:

After three iterations:

All images copyright Robert Fathauer

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