Is this Blue Star Creeper?
It looks like to me. If it is, you might be forewarned that it will take over and spread like crazy! My mom planted just a few patches of blue star creeper by her front fountain, an area of 10’x10’ and planted maybe 10 different sections of blue star creeper. The whole area is now covered (I’d say 1-2 years), and looks really nice, but it’s bordered by a concrete walkway, and the house so that blue star creeper won’t take over the whole yard. My mom is using it as a cheap alternative to bark, and doesn’t mind.
Meanwhile, I planted a few other types of “Stepables” (I think that is the brand name) a fern, irish moss, and one other type and they did the same thing to my layout just not as fast. I’ll see if I can pull up some pictures. If you want it to spread, go for it. I’d even suggest digging up and splitting the growth that you have now and you’ll get fast coverage. If you don’t want it to take over than you need to keep in mind that it will spread aggressively!