On this trip, his fans will witness Schlappig's latest mission: a weekend jaunt that will slingshoot him across East Asia — Hong Kong, Jakarta, Tokyo — and back to New York, in 69 hours. He'll rarely leave the airports, and when he does he'll rest his head only in luxury hotels. ... Schlappig, 25, is one of the biggest stars among an elite group of obsessive flyers whose mission is to outwit the airlines. They're self-styled competitors with a singular objective: fly for free, as much as they can, without getting caught. ... "An airplane is my bedroom," he says, stretching to reach his complimentary slippers. "It's my office, and it's my playroom." The privilege of reclining in this personal suite costs around $15,000. Schlappig typically makes this trip when he's bored on the weekend. He pays for it like he pays for everything: with a sliver of his gargantuan cache of frequent-flyer miles that grows only bigger by the day.