He uses images of spirals and falcons to reinforce the idea that anarchy has invaded the world. He does this, to show how this anarchy is repetitive but very powerful in imprisoning living beings.
We can arrive at this answer because:
This type of language is used to show how anarchy is a prison for people, who cannot follow their own lives, but are immersed in this environment of violence and insanity.
This question is about the poem “The Second Coming.”
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