Susan, I have a lot more questions, if you don't mind, but your blocks are beautiful - I can't even think of a word that expresses it!
I've started basting something similar (I custom ordered the paper pieces) but I would never have the courage to fussy cut them! They matchup so perfectly. Did you use a Stack and Whack type of technique? And then there is o much potential for slipping when you are basting, however did you do it??? How are you going to put the blocks together? Will you use a single fabric, like a path in Grandmothers Flower Garden?
Do you baste through the paper or just around it ?
More importantly, when I baste the narrow diamonds, I end up with a lot of "dog ears" that I think will get I the way when I sew the diamonds together. What did you do with them? I would be afraid to cut them off.
What kind of thread to you use to sew them together? Do you match the color to the fabrics or use a neutral thread throughout.
And what stitch? There is a tutorial which is included in another post which says to seem together did by side instead of putting them right sides together, on top of each other - it says that the stitches show less. I have seen posts on the board that haves used a buttonhole stitch, whip stitch and ladder stitch.
Sorry to overwhelm you with questions. All of these uncertainties are my excuse to not start sewing the hexies (diamonds) together. The honest truth is that I'm scared!
I haven't seen the book you mentioned. Does it have any good ideas for getting round the problems of the sharp points? By the way, it is called a Penrose Tiling. I posted a picture of an antique quilt on here a few years ago to ask wht h pattern was, and a very clever member of the board identified it.
Thank you, your quilt is an inspiration.