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  1. I have been staring at this for long enough to realize that I used to be smart. I don't know what went wrong.

    http://i29.tinypic.com/nmylc7.jpg
  2. i think i'm missing something...
  3. 65 is the new 64.
  4. I've seen this explained before, but obv forgot it.
  5. im not sure whats odd abuot this pic
  6. enthralling
  7. Both shapes are made up of the same blocks (small blocks are same size and shape in both), but one shape is bigger than the other by 1 square.
  8. In the second picture, the hypotenuse of those triangles isn't a straight line.
  9. i've never seen this before, and I've been staring at it for a while. Im thinking it has to do with the tips of the triangles. When the line up with eachother they fit, but when they line up with the other block they make 1/2 a square each... yes/no?

    Meh. I think its an illusion now. I wish i had photoshop on this comp, then I'd cut and compare the shapes... i think maybe someone is fucking with us.

    Someone with photoshop fix this so we can see it. I would if i was at home.
  10. same problem from discover magazine:

    "of course, it is impossible to cut up a shape and reassemble the pieces to make a shape with
    a different area. the trick here is that the edges that seem to meet along the diagonal of the
    rectangle do not, in fact, meet; they leave a long skinny hole with an area of 1 square"
  11. OMG noooooooo, not fibonacci numbers. We did this prob in a math class I took a long time ago to talk about fibonacci #'s. 1, 1, 2, 3, 5, 8, 13, 21, 34, killllllll meeeeeeeee.

    Anyway, the idea is that the inner edge of those polygons don't line up at all. They are just made to look like they do. They slopes are not equal.

    Here is a applet that shows the difference: http://www.cut-the-knot.org/Curricul...ozlement.shtml

    So, in other words: that picture is a lie. There is a small gap between the triangles and the other polygons that is exactly equal to 1.
  12. Thank you.
    Thread Starter
  13. yeah ^^
     
  14. you are an uber nerd, sir. gg.
  15. So it's rigged. What does this have to with the FIbonacci Sequence?
  16. Notice that they choose the #'s 5, 8, and 13. They are all fibonacci #'s.

    Well this was my math proofs class, and we had to prove that if you do this with any 3 successive fibonacci #'s, the defect or surplus is always equal to 1. It's a pretty easy proof if you know one identity.
  17. Interesting. That bit of knowledge and $4 will buy you a cup of coffee at Starbucks. : )
  18. Last time i went to Starbucks (long time ago), I ordered a "medium." They looked at me funny.
  19. Fibonacci will tell you how many bees there are along a specific amount on an ancestry line (provided no incest has taken place. ZOMG incest is an an anagram of insect. Wow in my addled brain that feels so deep).

    Lol such esotericaments.