Well, now that I had a name, I did a google search. Not much info out there and very little in English. I did find a number of pictures though and I am not sure that is what it is. I have had mine for almost a year now and it has the same 5 branches on one stalk. Then during the day it gets what I call furry or fuzzy. It looks like the polyps would be very soft if touched but I have never done so.
Since I found so little information though I will go with your ID. You are always right anyway.
Thanks for stopping by and seeing my poor attempt at pictures. They are nothing compared to yours.