That's a very pretty quilt!
I found their free pdf. Very odd that they didn't include directions.
It actually doesn't look that difficult, just time consuming. I like to deconstruct quilts and figure out how they're made. Here's the breakdown of how
I would do it:
The center block is a square-in-a-square.
The 4 corners of the block are a basic pineapple block. Looking at the red and white block in the upper left corner of the quilt pattern, here's how I would sew it: Start with the white square in the corner. Sew a red triangle over it and trim; you should now have a HST. Sew a white "log" (rectangle) on the two red sides of the HST. Sew another red triangle over the logs, trim the excess. Repeat until you have that section of the block completed. Make sense?
The 4 inner sections are flying geese.
Hopefully this will help.