I had an idea last night for another use for my quarter pineapple graph paper which I designed 4 years ago this month and I just couldn't resist the temptation. So I now have made a star block using my method for the star points and Edyta's for the rest of it. I had the opposite problem of some of the rest of you. The center is flat but the outside edges are rippled. Not so much that I couldn't ease it in though. I think I know what I did wrong so maybe it will turn out better next time. Something to do with sewing directly on the line making a full 1/4" seam which shrunk the block slightly.
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My pineapple graph paper has 1/4" measurements going horizontally and diagonally in both directions so it was easy to draw the block size and 1/4" sewing lines. Of course I drew it going the wrong direction, needing a mirror image instead to get the seams going in the right direction so I was doing everything backwards. That was an easy fix though after taking the pictures. I just flipped them horizontally so now they are going in the right direction. This method was inspired by the HST exchange. For this block you would cut 2 fabric strips 6" x 11", layer them with a template and sew on the black dashed lines, cut on the solid black lines and press open. You get 4 bonus HST's.
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I kept the paper on to assemble the pairs of star points by sewing on the red dashed lines. It might help to remove some of the paper at the center first so it doesn't get caught in the seams. I removed all of the paper before adding the triangles and squares. The exact finished measurement for the corner squares is actually 3-3/16" if you measure the sides of the star points on the graph paper, so I added an extra 1/16" to Edyta's measurement.
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I hope to someday make some templates for this block in different sizes using my Sew-On-The-Line method. And I will do a better tutorial at a later date. For now it's time to get ready for Christmas and finish the final details on our new home.