Reykjavik is the capital city... John Buchanan March 30, 2022 of the island nation of Iceland where more than half the country’s population is concentrated in this urban center. View fullsize Panorama of Reykjavik (click image to enlarge). The 240 ft (73 m) high tower of Hallgrimskirkja cathedral, the architecture of which is inspired by columnar jointed basalt. The spartan interior of Hallgrimskirkja cathedral.