I was just wondering why those little American flag patches that are on the shoulders of the American army uniforms are inverted?
You’re not the first to wonder this in the last week:
http://boards.straightdope.com/sdmb/showthread.php?s=&threadid=174576
http://boards.straightdope.com/sdmb/showthread.php?s=&threadid=174423
One point to note is that the emblem/patch is a “flag replica” (having only one side) rather than an actual flag, so it is not specifically bound by the rules regarding the display of the flag.