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  • Custom User Avatar

    Or try this with out the maths...

    my diagram is (kind of) to scale so just zoom it bigger and use a peice of string on your screen to compare those paths and see which is longer

  • Default User Avatar

    ??

    How do you see your path shorter than the one going through the center of the web?

    Approximation: "the web is made of circles"

    • you do 3/8 of circle of radius '3' + 1/3 of radius '3' => length = 3/8*2*pi*R + R/3 = 9pi/4 + 1 = 8.06...
    • other way through the center is one radius of 3 plus one radius of 2 => length = 3+2 = 5

    Even considering my approximation increase the length a bit, it's clear that your path is longer.

  • Custom User Avatar

    I think I may be misunderstanding. In the scenario presented, wouldn't the shortest path be H3-G3-F3-E3-E2 ? Is there something I am missing on why he wouldn't go this path?