Recent content by xhenderson

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    Undergrad Is the Futurama Infinite Series Calculation Correct?

    You seem to be assuming that the mass of each generation is 60% the mass of the previous generation. As previously noted in this topic, it is probably better to assume that the 60% scale refers to the linear scale of the Benders, implying that the mass of an (n+1)st generation Bender should be...
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    Undergrad Is the Futurama Infinite Series Calculation Correct?

    It would have been, though as I see it, they couldn't have because they set up the situation in such a way that the mass of the Benders did not diverge. It was key to the plot that the Benders would eventually devour the Earth, but that is not what would happen if each Bender were a 60% scale...
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    Undergrad Is the Futurama Infinite Series Calculation Correct?

    I'm note sure where you are getting these terms, or perhaps I am not understanding what they represent. Can you explain your thinking, please? Again, mass doesn't scale in that fashion. Mass is directly proportional to the cube of the scale. To make things a bit simpler, suppose that you...
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    Undergrad Is the Futurama Infinite Series Calculation Correct?

    zach12_2: If I understand what you are trying to do, there are a couple of problems. First, if the first-generation mini-Benders are 60% scale duplicates of the original, then they should mass 0.6^3=0.216, or about 22%, what the original masses. Of course, this will make your series converge...