Anyway, on with the show...
5" blocks (a charm pack came in handy)
piping (store bought or make it yourself)
Arrange your blocks in this configuration: sew together using a 1/4" seam allowance.
Trim a 19.5" tall by 14" wide rectangle from that patchwork. Cut two 6.25" diameter circles. Apply a light weight fusible interfacing to all pieces, not necessary but it helps the pillow keep it's shape a little better.
Sew body of pillow together using a 1/4" seam allowance, but leave a 4-5" opening for stuffing later.
Mark the quarter points on both circles as well as both ends of pillow body with pins or a water soluble marker.
Align pins, slipping the piping in between (all raw edges aligned, so that means the piping facing inward) with RIGHT sides together. Overlap piping and leave tails hanging outward. Use additional pins as necessary. Sew using a 1/4" seam allowance. And try not to curse and tear your hair out at this point. A few wobbles at this point isn't really going to be that noticeable. Using a zipper foot and moving your needle position as close to the piping helps for a better fit. Unlike what I show here, you might want to place the body fabric piece up and circle down while sewing so you can make sure there's not a lot of bunching or wrinkles. Repeat for other end. Turn right side out and stuff.
Sew shut by hand using a ladder stitch.
Larger version note: I also made a larger version and used these measurements: 28.5" tall by 22" wide rectangle for body (aligning the 28.5" side for sewing) 9" diameter circles. I used a cheater patchwork by Echino for that particular version.
Some hand quilting on this pillow would look fabulous (like the anthro pillow), but I gave up on that after the kids destroyed the