If I were going about it, I'd use the Around the World pattern:
http://delawarequilts.com/Projects/Y...ndTheWorld.pdf
and then I'd have several white strips added to the end of the strips making the tube. I actually think the individual block you've isolated is two pieces...or maybe one set of tubes cut and then reassembled...I'm probably not making sense, but see if the link helps you at all...