We have been noticing this ground cover for years, but didn't know what to call it.
Now we know what to call it: fan clubmoss, groundcedar, or crowsfoot. You could call it by its scientific name: Diphasiastrum digitatum, but I wouldn't know where to start to pronounce that, so I'm running with fan clubmoss.
I have this cool app on my phone that identifies plants, fungi, fish, reptiles, amphibians, arachnids, birds, mollusks, mammals, and insects with common and scientific names. I take it with me on our walks in case we see something new or unfamiliar. Today I found out that this app doesn't JUST identify species, it also gives some interesting information about them. And it was FREE!!!
So, about this plant: fan clubmoss is native to eastern North America, and grows in mostly shaded areas. It is a moss, so it reproduces by spores, rather than seeds. The fruiting bodies should be visible soon, July through December. I'll get back to you on this. I'm excited to learn more about it.
Be on the lookout, it's in our neighborhood too.
HAPPY GARDENING!!!