Reykjavík is the northernmost capital of a sovereign state, and it feels like a town that knows it. About 140,000 people live here, in low houses with colored roofs, around a concrete church said to echo basalt columns. By tradition the city began in 874, when Ingólfur Arnarson settled here, but it only got a town charter in 1786, and for most of its history it was a village. Almost every building is heated with hot water piped up from underground, which is also why the pools are the real living rooms of the city.
Be honest about what you're buying. The city itself takes a day and a half. The reason to give it five days is what sits within two hours of it: the Golden Circle with its geysers and a rift valley, the south coast with its waterfalls and black sand, and the Reykjanes peninsula, where the ground is still being made. Iceland is also expensive, and the dark half of the year is short on daylight, so this plan puts a number on things and tells you what to drop when the weather says no.
The plan: day one is the city on foot, day two the Golden Circle, day three the south coast as a long day trip, day four Reykjanes with a lagoon at the end, and day five the museum, harbor and pool side of the city, with a northern lights try after dark. Start on a Saturday if you can: the Kolaportið flea market only opens on weekends, and the other days all work on a weekday. Iceland's weather is the real boss, so swap days freely, and read the rest of the country in our Iceland guide.