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As soon as Gulliver steps onto the floating island, he is surrounded by a crowd of people. He finds them very strange even though they are of a size similar to his. Their heads are slanted to the left or right, and their clothes have pictures of either musical instruments or astronomical signs.
Gulliver learns that he is on Laputa. The people here have terribly short attention spans, so they carry around "Flappers." These are used for hitting other people during conversation in order to keep them focused. After dinner a man is sent to teach Gulliver the language.
Gulliver finds that the Laputian houses are built very poorly and with no right angles. This is odd because the men here are obsessed with mathematics. The people here never have peace of mind. They are constantly worrying about dangers such as the possibility that the sun might go out. The women are very sexual creatures who often cheat on their husbands, especially with their preferred men from Balnibarbi, but the men are so wrapped up in mathematics that they do not notice. The King of Laputa is not remotely interested in the government of England.
Laputa is floating above Balnibarbi, the island on which he landed his canoe. Laputa contains 10,000 acres and is perfectly circular. It is able to move about the surface of Balnibarbi but not beyond its borders, and it can move up and down because of its magnetic forces. When a town from Balnibarbi acts up, the King has Laputa moved directly above it so that it can receive no sun or rain. No one from the Royal family is allowed to leave Laputa.