We have a Sunburst

Progress on this quilt. I've got all the rows of diamonds sewn together. I ended up with diamonds along the edge, so I simply trimmed them off leaving my 1/4" seam allowance.

Here's how it looks so far. I've decided to square off the corners with triangles. I actually saw a similar quilt on someone's blog where the corners were one piece of fabric rather than all those diamonds. I liked the look and heaven knows it will be easier!
You'll notice that it's a little different than a Lone Star. The points are oriented up and down and left and right. There are no set-in squares or triangles since it's just half a diamond. Thanks for your suggestions on the origin of the pattern. I've looked at all the suggested names and found "Sunburst" #4006 in Barbara Brackman's Encyclopedia of Pieced Quilt Patterns to be the closest. The picture in the book looks a lot like my top photo with all the diamonds on the edges. Not sure how they coped with that!