The analying chapter of gullivers travel chapter 4,5
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Redresal and the Lilliputians also have to worry about the threat of invasion from those living on the Island of Blefuscu, "which is the other great Empire of the Universe." The people of Lilliput and Blefuscu are unable to get along because years ago, after an emperor's son was injured trying to break his egg on the smaller end (the traditional way of egg breaking), he decreed that no one may break the smaller end of his egg. This caused a great uproar among many of the Lilliputians and led to six rebellions and thousands of deaths. Eventually the Big-Endians were exiled and went to Blefuscu, where they gained favor and convinced the government to go to war against Lilliput.
The war between the English and the French is parodied in the conflict between the Lilliputians and the Blefuscudians. Their conflict over which end of the egg to break reflects the centuries-old conflict over how to practice religion-as Protestants or Catholics. While the wars over religion certainly were very serious, Swift suggests that what was being fought over (at least on the religious rather than the political side) really was not very important. In Swift's eyes, fighting over religion is as pointless as fighting over which end of an egg to break.
Swift also parodies the political parties within England. The Tory party is represented by the Low Heels while the Whigs are represented by the High Heels. Considering that Swift himself changed parties, he must have understood that political allegiance was important. Yet, political bickering is often about such unimportant matters as the height of one's heels.