Here's a snapshot showing (almost) where the V stars are:
If you do some simple counting, you'll see that there is one more V-star missing. Since this somehow escaped me the first time, I'll leave its location as an exercise for you, too.
I've mentioned the idea from 4.5 before and I still like that construction, even though it is very simple.
Constructing the two equilateral triangles also seemed nice. Constructing the inscribed and circumscribing circles from the triangle seems more like the "usual" direction of construction, so these reverse constructions appealed to me.