|Jan16-04, 04:04 PM||#1|
Any interesting thoughts?
a cube have 6 sides and 8 corners, you cannot make one cube fit into another.
But a square has 4 sides and 4 corners, therefore you can make one fit into another.
An n-dimensional object has got lesser corners than sides, therefore you can make no n-dimensional object fit into another perfectly, when n>2.
(a + b)2 = a2 + b2 + 2ab
Inside the square, there is another square, c2.
it cuts between a and b on all 4 sides. What's left is 2ab
so a2 + b2 = c2
An n-dimensional object inside another cannot cut all sides into whole numbers since it cannot cut all sides at all for n>2.
|Similar Threads for: Fermatís Theorem|
|Fermat Last Theorem look-alike||Linear & Abstract Algebra||17|
|Goodbye, Fermatís theorem!||Linear & Abstract Algebra||1|
|Fermatís Last Theorem: A one-operation proof||Linear & Abstract Algebra||150|
|Elemental study of the last theorem of Fermat||General Math||0|
|Was Fermat too bold about her last theorem?||General Math||24|