Then he sees the soft purple glow coming from a doorway, soothing and gentle, oddly out of place in this chaotic crossroads of the world, Europe’s busiest airport, with more than 200,000 passengers a day during the holiday rush.

“Yotel,” the sign says.

Grundy has never heard of Yotel, which opened this month at Heathrow’s Terminal 4, but it is promising a space to sleep for 25 pounds, or about $50, for four hours. So he shuffles into the cabernet-sauvignon light, which feels inviting as a kiss.

“I just need a place to shut my eyes,” said Grundy, 37, who inspects welding on oil rigs for a living. He started the previous night in Equatorial Guinea, in West Africa, flew seven hours overnight and landed at London’s Gatwick Airport at 4 a.m. Then he hopped on the hour-long shuttle bus to Heathrow, arrived at 9 a.m. and contemplated how he might spend the next 11 hours. His flight home, to family and Christmas in South Africa, doesn’t leave until 8 p.m .

Heathrow is filled with limbo-locked travellers coming from one end of the world to the other with a connection in London. At least 90 airlines with flights to 180 nations operate at Heathrow, which will soon open a fifth terminal to accommodate more than 67 million passengers annually. Heathrow is the world’s waiting room, filled with people waiting for connections on international journeys that often take 24 hours or more.

On the mezzanine level, the world’s cultures, languages and stories converge on the little purple-lighted doorway between Caffe Italia and a couple of Internet terminals. Grundy, in the middle of his two-day travel odyssey, reaches for his Visa card. “I probably would have gone to the bar and spent the same amount of money,” he says, paying about $75 to sleep for six hours in a tiny, high-tech “cabin.”

The 32 rooms are a cross between a space-saving Japanese capsule hotel and the ultra-sleek, first-class cabin on a British Airways jumbo jet. Each has a bed with a fluffy duvet, a fold-out desk, a large-screen TV and a shower— all buffed out with high-gloss plastic walls, like luxury accommodations on some miniature spaceship.

As Grundy closes his room’s heavy door behind him, Usman Waheed walks up to one of the touch-screen check-in computers. A 28-year-old Harvard Business School student, he has a 10-hour layover on his trip from Boston to Islamabad, Pakistan. He is tired from the flight but clearly excited that he is getting married in Pakistan this weekend.

If he hadn’t found a bed, Waheed says, he would have taken the train into London and walked around all day, jet-lagged and heavy-legged.

A steady stream of travelers walks through the hotel’s door, some curious, some desperate.

“I just need to crash for a little bit,” says Greg Horchak, 27, a college student from Texas who has 15 hours to kill between the arrival of his flight from Dallas and his connecting flight to Tel Aviv to see his father for the holidays.

Nelly Mohieldin, 33, wanders up, pushing a loaded-down luggage cart. Mohieldin and her husband are on their way home to Cairo after a honeymoon trip to Florida and the Virgin Islands.

Mohieldin says she doesn’t “have the energy” to browse the duty-free shops for the next 10 hours, it’s too early to check in her luggage and she is desperate for sleep. It’s 11:29 a.m., and there won’t be another bed available until Grundy checks out at 3.