Comment by spirographer

This is a great article! Funny about Yugiri (39), because your version is a mirror image to Eawase (17), and the traditional Japanese Yugiri breaks that symmetry.

Every Genji-mon that is not self-symmetrical should have a mirror image, which I was able to quickly verify in the Genji-mon table you displayed.

Minori (40) is the only non symmetrical Genji-mon that breaks the rule, because it's the only one whose mirror image is also isomorphic to itself.

I can only imagine that there was something deliberate about the symmetry breaking for Yugiri, given the almost fanatical attention to detail in Japanese arts in general, and the equally strong penchant for deliberate imperfection in traditions like Kintsugi.