Reykjavik for The Solo Traveller: a Friday-to-Monday weekend

Walk in free and watch the harbour light through the glass facets; the upper foyers have seats and nobody minds one person with a notebook.

The west-end locals' pool, where the hot pots are the neighbourhood's living room and a visitor alone is just another soaker; open until late on weekdays.

Stalls around shared tables in the old bus station, which makes dining alone easy; pick a bowl of lamb soup and sit near the bar.

A 3,000-year-old volcanic crater with a green lake at the bottom and a path round the rim; the small entry fee buys a peaceful walk before the buses.

A two-step waterfall dropping into a narrow canyon; walk the lower path for the spray and the upper one for the view, and wear waterproofs.

A seat at the counter for Nordic small plates, mostly vegetables and fish; the kitchen talks to solo diners and will steer you to the day's best.

The harbour branch of the Reykjavik Art Museum at opening, with the pop-art collages of Erró; the guards will have the galleries to themselves with you.

Wander a hall of second-hand books, wool and dried fish, and sample the shark if you are bold; it only runs on weekends from eleven to five.

Lobster soup ladled from a pot and fish skewers at long communal tables; sitting alone is normal, and chat with the table is encouraged.

Go up at opening for the empty viewing deck and the long shadows across the painted roofs; the lift is quick and the view needs no company.

An unhurried two hours in the permanent exhibition, with the Viking-age room the best of it; the museum café is quiet for coffee before the airport.

Soup served in a hollowed-out loaf, the lamb and the vegetarian one both generous, at a basement café with counter seats for one.