"...[the towers] went on beyond sight, multiplied over and over around the curve of the planet. Archopolis was merely a nexus; no matter if the globe had blue oceans and green open spaces - some huge, being property of nobility - it was a single city."
- Poul Anderson, Flandry's Legacy (New York, 2012), p. 44.
In Isaac Asimov's Galactic Empire, the capital, Trantor, is both a city covering a planet and a planet covered by a city. Both city and planet are named "Trantor." As far as I can remember, the only green growth is in the (large) garden of the Imperial Palace and there are no oceans or at least none left after the total urbanization of the planet.
In Poul Anderson's Terran Empire, the capital, Archopolis, is "...a nexus..." in a city covering the land areas of the planet Terra. Large open spaces do not prevent the Terran continents from being a single city any more than Central Park negates New York's status as a city. However, Terra is not completely urbanized like Trantor and there is a forest in the High Sierra.
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