Kópavogur is a city in Southwest Iceland, with a population of 30,000 (december 1. 2007).
Kópavogur is a part of Reykjavík metropolitan area, located south of Reykjavík. They share municipal borders, so its not hard to get there.
Kópavogur is central in the capital area and there are roads, bus routes and pedestrian and bicycle paths that link Kópavogur with the rest of the Reykjavík area.
Kópavogur is one of the youngest towns in Iceland so there is not much there of historical significance. It was a suburb of Reykjavík with the first houses built during WW2. Recent (post 1990) explosive growth in both business and housing building doubled the town in size, giving it large shopping centers and an office/commercial building that is the tallest building in Iceland but the things to see are primarily in the older part of the town, particularily the Kársnes peninsula with trees in the gardens and treelined streets and the picturesque church on top of the Borgarholt.
The guesthouse Lily is also in walking distance from Nautholsvik beach and a beautiful natural outdoor area. Pizza and fast food restaurants are in nearby buildings.