Okay, here is the big Lone Star in the basket, with a smaller rosette to the side.
And here is the rosette I transplanted because it was right up against that basket edge:
Do you see the one offset that is pointing straight down toward the bottom of the frame? Just to the right of that is another that has actually buried itself into the potting soil! It's firmly attached at each end, not broken off or rotting or anything..... but it is sure buried! Pretty odd.