64=65?

http://img20.exs.cx/my.php?loc=img20&image=64-equals-65.gif

[peleon]

Hello,

Originally Posted by Rhodium

http://img20.exs.cx/my.php?loc=img20&image=64-equals-65.gif

Hmm....I just came from holidays and I saw that image "64=65?"....Did I miss something from the scene that I dont understand what that means?

Regards

I saw this ages ago. Explanation is, that "rectangle" that comes out after rearranging pieces is not really a rectangle (diagonal is not a line, but consists of 2 lines). It can be proven by calculating internal angles. So actually the "diagonal" has an empty space with field = 1.

If you like optical illusions, take a look at 212.33.90.248/~omega/rotsnake.gif

[peleon]

Originally Posted by omega_red

If you like optical illusions, take a look at 212.33.90.248/~omega/rotsnake.gif

Damn, I thought I was going crazy when looking into that image Good one!

Regards

another way of explaining it -

(the board doesn't seem to allow [img] tags, so i made it an attachment, please refer to it.)

in reality, the slopes of segment AB and BD are not the same, one is 2/5, other is 3/8, so ABCD is really a extremely narrow parallelogram, with the area of 1. cheap trick, but fools the average eye