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64=65?
http://img20.exs.cx/my.php?loc=img20&image=64-equals-65.gif
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Hello,
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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 |
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Regards |
1 Attachment(s)
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 :) |
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