I recently read about this little plant in an article - Tree Walkers website in "Leaf Litter Magazine"
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It was being used instead of live moss.

Dichondra - Wikipedia, the free encyclopedia

I am still searching for a very low growing plant I can use in my planters at the base of the plants.
I ordered some seeds. It will flower too ! It is a perennial, so I will see how it does?

Flower Seeds: Dichondra Seeds | Harris Seeds