Thursday, December 17, 2015

POTW #16 - More Geometric Illusions!

Here is the answer for #15 https://www.youtube.com/watch?v=ExUV3GOTDqE . Also, big thanks to Caelan for her great explanation in class!

POTW #16 is similar. How can this never-ending chocolate bar be explained? 

http://cdn5.dottech.org/wp-content/uploads/2013/03/never_ending_chocolate_illusion.gif

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21 comments:

  1. Jonathan MiletteDecember 17, 2015 at 4:58 AM

    Sorry, that answer for #15 is not a youtube hyperlink, just copy and paste the link to see the full explanation for POTW #15.

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  2. AnonymousDecember 20, 2015 at 4:37 PM

    Sorry to destroy everybody's dreams of infinite chocolate but that can never happen. It is impossible to have an infinite number of something when you have a limited amount. So how is it possible in the picture? Well the person who created it didn't show the truth. What they did was as the two big chocolate chunks swapped places, their lengths were extended very subtly so you wouldn't notice it. If they weren't extended, it would create a gap equal to 1 chocolate piece because that was the amount that was taken from the bar. See the truth for yourself: https://twitter.com/tweetsauce/status/628966593398218753

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    Replies
    1. AnonymousJanuary 4, 2016 at 1:27 PM

      Yes, this is true, If you look closely, you can even see the chocolate growing!

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  3. AnonymousDecember 21, 2015 at 7:13 AM

    So the first thing I saw was that the fourth piece of chocolate at the far right (from bottom to top), when it was split the top part that was moved seem bigger than the piece that was moved into it's place. Then the piece left of the the one I was talking about seem to also be missing a spot when the pieces were moved around because when it was split a bigger piece was taken away then the piece that was given once again. I only found that the piece in the very middle had the same shape when the pieces were moved. So I believe that the reason why you would get an extra piece us because in the end there are still spots of chocolate missing on the slope in which the extra chocolate becomes the remaining piece. ( Sorry it is hard to explain which just writing.)

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  4. AnonymousDecember 21, 2015 at 11:18 AM

    If you pay close attention, then you can tell that when the two largest chunks of chocolate move up, and then down, they both increase a tiny bit in length, and that tiny increase in length takes up the same room as 1/25 of the bar of chocolate, which squishes out the bit of chocolate that ends up displaced in the end of the gif.

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  5. AnonymousDecember 26, 2015 at 6:11 AM

    The reason/explanation of how this chocolate bar illusion works is through before, and after size transformation. When the two main/larger sections lift, they have a slightly longer length then the other chunks of chocolate. As they comeback down alternating spots, they lose that extra length that was creating the area for the left out chunk of chocolate.

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  6. AnonymousDecember 26, 2015 at 12:24 PM

    See, it may seem like there is an infinite number of chocolate pieces, but we know this has to be impossible because there is clearly not going to be an infinite number of chocolate.
    So the trick must be in the animated movements.
    The top two pieces that move and rearrange increase their area as they move to cover the area of the removed piece of chocolate.
    Because the pieces are moving, you cannot see the slight increase in length over the slant.
    Without a picture explanation, it may be hard to understand, but the point is, the animated gif is adding in extra area on the slant to make up for the removed piece of chocolate. Its all and illusion :(

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  7. AnonymousDecember 27, 2015 at 2:03 PM

    I looked very closely, and saw that the bigger piece of chocolate expands a little when moved, taking up the space of the other chocolate and the extra piece. Unless, you look closely, it is all just.. an illusion.

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  8. AnonymousDecember 29, 2015 at 6:06 PM

    The height of the chocolate increases during the animation, in which the amount of height change is equivalent to the 1/5ths of a single piece, so then that is what takes up the leftover one piece.

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  9. AnonymousDecember 29, 2015 at 6:15 PM

    The animation makes it as so the pieces become bigger to make it fit. But when done with real chocolates it can be seen it does not properly fit and there is space on the slant. It is just in illusion with the piece becoming bigger.

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  10. AnonymousDecember 29, 2015 at 9:24 PM

    If you look very closely when the two larger pieces of chocolate are shifted, they expand a bit. This expansion takes up the space equivalent to one of the rectangular pieces which is why one rectangular piece does not fit in the chocolate bar after the expansion.

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  11. AnonymousDecember 30, 2015 at 12:08 PM

    I stared at it for a bit, and then realized that it was just an illusion. The 2 big pieces grow a little at the bottom when they move around. Since there was no other explanation, I concluded that the growth would take up a piece of chocolate, so there was now an extra one.

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  12. UnknownDecember 30, 2015 at 12:42 PM

    The animation isn't perfect as the pieces expand to take the rectangular piece's spot. If you use real chocolate this does not happen.

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  13. AnonymousDecember 31, 2015 at 9:42 AM

    The original bar has the piece on the laft that is cut; well that piece gets taller (expands) when it moves to the right. It psysically can't happen. :(

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  14. UnknownJanuary 2, 2016 at 2:55 PM

    because i have done this in real life with my sister (she thought someone had found the solution to world hunger or something) we found that the two pieces of the chocolate that was being moved around was a rely tiny difference to the rest of the chocolate making the rectangle not a rectangle more of a non equatorial polygon or a weird hexagon (6 sides) but if you do this enough there is a noticeable difference and you cant make more rectangles. sorry for the late doing of the potw i was on vacaytion with the worst internet ever and no computer

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  15. AnonymousJanuary 2, 2016 at 3:35 PM

    The two largest pieces increase while in motion ever so slightly to take up one twenty fifth of the chocolate

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  16. AnonymousJanuary 3, 2016 at 8:15 AM

    This never-ending chocolate bar has the 2 pieces that were cut on an angle expand as they switch spots. The pieces expand just enough to make up 1 piece or 1/25 of the chocolate bar.

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  17. AnonymousJanuary 3, 2016 at 9:59 AM

    The 2 pieces that were cut diagonally slightly expand when they are switching spots. They expand by 1/25 or 4% of the chocolate bar, which is the same amount as the extra chocolate piece.

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  18. AnonymousJanuary 4, 2016 at 12:00 AM

    It is impossible to make something out of nothing. Although it was tough to see in this pictures, other pictures put all of the effects on one column. They are sneakily taking away from the chocolate bar's pieces.

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  19. UnknownJanuary 4, 2016 at 3:44 PM

    The chocolate is cut in an angle, and the smaller separated part is cut up even more, when the pieces are moved, the left piece is moved to the right, and the shape is stretched out so it is longer, also the angles don't really fit, but the gif makes it seem like it fits. The amount that is stretched and expanded to make the angles meet is enough for 1 chocolate piece.

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  20. AnonymousJanuary 11, 2016 at 3:50 AM

    I think that the two larger pieces expanded while moving, in order to leave the one piece out. Otherwise, it wouldn't have been possible. The taller piece looks like it expands during the animation.

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