I looked at it like it was a paper-pieced pattern and here's my best shot. [#] corresponds to the numbers on the template pieces
1) Sew two [1] together (or fold fabric before cutting)
2) Sew [2] to each side of the [1] unit
3) Sew two [3] together (or fold fabric before cutting)
4) Sew [3] on each side of [1/2] unit
5) Sew [8] on each of [6]
6) Sew [5] on left side of [6/8] unit
7) Sew [4] on right side of [6/9/5] unit
8) Sew [2] to [7]
9) Sew [6/8/5/4] unit to each side of [2/7] unit
10) Sew [6/8/5/4/2/7] unit to each side of [1/2/3] unit
Or you could enlarge the tempate diagram and treat itlike a paper piecing pattern.
I think it's gorgeous. I may just have to try it. Thanks.