I had tried this design in the past and was not successful. This time all the steps fell into place quite easily.
You'll need to fold the triangles individually and really enforce their creases. Then you can go about the task of collapsing each star one at a time. You will need to collapse each star as a unit. You cannot fold the hex and the triangles separately as they land too snugly.
As you add stars out from the center the connecting pleats will not naturally lie flat. You'll need to bisect them for a flat tess.