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  1. #11
    Senior Member Scheherezade's Avatar
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    Quote Originally Posted by EffEmDoubleyou View Post
    I believe it's about the curvature. If you flatten the map, he's walking five miles to right, then up and to the left, then down and to the left, completing a triangle. That's why he's at the North Pole and it's a white bear.
    How is that a triangle?
    "The curvature is the reciprocal of the curvature angular radius in radians. A curvature of 1 appears as a circle of an angular radius of 45° corresponding to an altitude of approximately 2640 km above the Earth's surface" -wiki

  2. #12

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    Quote Originally Posted by Scheherezade View Post
    How is that a triangle?
    "The curvature is the reciprocal of the curvature angular radius in radians. A curvature of 1 appears as a circle of an angular radius of 45° corresponding to an altitude of approximately 2640 km above the Earth's surface" -wiki
    It's because when you walk east or west, you remain a fixed distance from the North Pole. You worded your question slightly differently than this example I found, but the principle is the same:
    http://www.murderousmaths.co.uk/books/bearpuz.htm
    Everybody have fun tonight. Everybody Wang Chung tonight.

    Johari
    /Nohari

  3. #13
    morose bourgeoisie
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    The hunter is at the North Pole. The bear is white because there are no bears at the South Pole.
    It’s not a triangle. It’s an arc, defined by two straight (but not perpendicular) lines of 5 miles, and an arc of 5 miles.
    East: 5 miles. This is a linear distance from the pole.
    South: 5 miles. This follows an arc, but the hunter thinks it’s a straight line. His compass tells him so.
    Then home 5 miles.
    This guy walks in to a wasteland, can't find any game, then kills the one living thing he finds, but can't bring it back with him. Dumb-dumb. Stop killing bears.

  4. #14
    Retired Nicki's Avatar
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    a color
    I really like cats and food.

  5. #15
    @.~*virinaĉo*~.@ Totenkindly's Avatar
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    The bear is white, aside from the following conditions:

    1. The bear was lost / imported / smuggled to that location, whereupon it might be any color. *
    2. The bear was embarrassed at its old appearance, so it colored its hair to a nice auburn or even a punk purple.
    3. Not even a bear would live in that region; it was actually two men in a bear suit, waylaying innocent penguins whose GPS had broken and they had gotten lost from the South Pole.
    4. The bear had no hair because it was undergoing chemo treatment for prostate cancer.
    5. The comedian wasn't a bear; he was wearing a neck-a-tie.

    *Inverse reference point: Polar bear on a tropical island in "Lost." Case closed.





    EDIT: I did not read the thread first, but it looks like at least one other person had a similar primary answer.
    "Hey Capa -- We're only stardust." ~ "Sunshine"

    “Pleasure to me is wonder—the unexplored, the unexpected, the thing that is hidden and the changeless thing that lurks behind superficial mutability. To trace the remote in the immediate; the eternal in the ephemeral; the past in the present; the infinite in the finite; these are to me the springs of delight and beauty.” ~ H.P. Lovecraft

  6. #16
    Gotta catch you all! Blackmail!'s Avatar
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    Quote Originally Posted by EffEmDoubleyou View Post
    I believe it's about the curvature.
    It is.
    "A man who only drinks water has a secret to hide from his fellow-men" -Baudelaire

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  7. #17
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    In this example, he's gotta start five miles away from the north pole, right? In the first leg, he's travelling east and thus his POV is rotating around the north pole. In the second leg, he's moving north and winds up at the north pole--ain't make no damn sense to move northier than the north pole.

    If he headed south instead of north in that second leg (as per FMW's example), then the solution would be that he started at the north pole.

  8. #18
    Strongly Ambivalent Ivy's Avatar
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    Twist ending: the bear is your mom

  9. #19

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    Quote Originally Posted by bologna View Post
    In this example, he's gotta start five miles away from the north pole, right? In the first leg, he's travelling east and thus his POV is rotating around the north pole. In the second leg, he's moving north and winds up at the north pole--ain't make no damn sense to move northier than the north pole.
    Yeah, that's the difference between the two riddles. The North Pole is the midpoint in the riddle the OP presented. Walk east five miles (staying on the same latitude), north five miles to the North Pole, and then it's five miles back to any longitude you choose, including one five miles from the original starting point.
    Everybody have fun tonight. Everybody Wang Chung tonight.

    Johari
    /Nohari

  10. #20

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    Quote Originally Posted by Ivy View Post
    Twist ending: the bear is your mom
    So it IS a white bear.
    Everybody have fun tonight. Everybody Wang Chung tonight.

    Johari
    /Nohari

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