This quilt is a simplified version of the Lemoyne Star. If you piece it with half-square triangles instead of diamond-shaped pieces, it goes together in a snap! (no Y-seams!) I taught this class to a couple of groups of 4-H kids, and their quilts turned out beautifully. You can see a slideshow here:
http://www.quiltscapesquilting.com/slideshows.php
These quilts were about 58" square, but I drafted instructions for you on my EQ6 program using 16" finished blocks like the one in the link you shared. It makes an 84" x 84" quilt.
Yes, you can make it scrappy. Piece eight squares using your blue, red and green stripes. Cut them to measure 17" square. This can also be made with 8 fat quarters, one for every section of the star. Or make it with one print (2 yards) or 2 colors (1 yard each). It will take 2 yards for the background, 5/8 yard for the inner border, and 2 yards for the outer border.
You'll also need 3/4 yard for binding and 5-1/2 yards for the backing.
Cut each pieced square or fat quarter into a 17" square. Cut each square in half, diagonally. From your background, cut four 17" squares (then cut in half diagonally) and four 16-1/2" squares for the corners. Lay out your quilt center, then piece the half-square triangles in each row. Be careful not to stretch the bias seam. Press, then trim each HST to be 16-1/2" square. Place them back in position, then sew your rows together.
Cut your inner border into eight 2-1/2" x width of fabric strips. Cut your outer border into eight 8-1/2" x width of fabric strips. Piece two inner and two outer border strips together for each side, then add your borders, mitering the corners. If you do not miter, you may need to add more yardage for the borders.
I am attaching a couple of pictures, but my program doesn't allow me to change the direction of the stripes. Hopefully this makes sense! Have fun, and be sure to post pictures of your finished quilt!