Indeed it does. According to Snopes.com, the picture is the genuine article, too - no Photoshop. Evidently, the weave of the cloth acts like a camera's "star filter". To me, that explanation does diminish the image in any way.
I wish I'd have had my camera earlier this morning. Today is cold and the sky is beautiful and cloudless, so the pilots from the nearby Air National Guard base were getting in some flight time. As I drove to work, I saw a jet contrail that was perfectly vertical, which appeared to intersect with another, horizontal trail of jet engine exhaust. It looked like a white crucifix three miles high, set against that blue background. It was not curved or ragged from wind shear - just two perfectly straight lines.