I believe that all partially ordered sets can rotated cleanly if you go far enough as I visualize them as their 0 being far away from their 1 as if on a string, with lots of complex stuff inbetween but if you rotate it, it will always return to somewhere CLOSE to where it started.
My strangest experience of that was working in genealogy.
I was following connections of far removed cousins to each other on geni.
So I’d start with a 9th cousin, 2x removed, look in the comments for someone related and find they’re 26th cousin 30 times removed from me, and follow someone’s path from their comments then ends up being something insane like 50th cousin’s 128 times removed’s son’s nephew’s mothers sibling’s 26th grandkids or something…
then the next connection? Nothing. Poof. No connection to me whatsoever.
But then I do one more connection…
..and I end up at something like a 5th cousin to me from an entirely different way.
I tested this over and over again, entirely baffled at the consistency of this otherwise random process I discovered.
Until I realized the genealogy database became a poset, no matter how far away everybody related to everybody else was, even if they seemed disconnected from me.
It’s because they were connected to me on the complex plane.
That’s why one more 1/4 rotation brought them back again.
And how was the range set? It was set by being connected to me and the unseen limit was the furthest person connected to me in the closed database. That’s how it always rotated back to somebody related closely to me.