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You are the conductor of a trolley in the complex plane, surrounded on all sides by people, stretching out to infinity. The trolley will start at 0 and move iteratively, its next position calculated as f(z) = z^2 + C, where z is its current position. c is arbitrary. You may set it to any complex number, but cannot change it once the trolley starts moving. For what values of c will the death toll not be infinite?

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there is no trolley. they were all killed off by the automobile industrial complex. the tracks are now unruley and wild, the people once tied to them killed in crosswalks by giant trucks and SUVs. but sometimes you come pull the lever to reminisce on simpler times. 3 *

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The Trolley Problem - Trolley Problem Complex Plane

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You are the conductor of a trolley in the complex plane, surrounded on all sides by people, stretching out to infinity. The trolley will start at 0 and move iteratively, its next position calculated as f(z) = z^2 + C, where z is its current position. c is arbitrary. You may set it to any complex number, but cannot change it once the trolley starts moving. For what values of c will the death toll not be infinite?

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Legal_Party

Legal_Party

Jan 28, 2020 at 03:35PM EST

"Nobody said there'd be math!"

+31

Minara

Minara

Jan 28, 2020 at 10:42PM EST

+29

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