a x
+-------+--+----+
| 1/2| / |
| |/x |
| /| |
| / | |
+----+--+-------+
(%:2)%2
{ a^2 = (*:x) - %4
a = ((%:2)%2) - x }
2*3%4*%:2 NB. side: 2*x, x = 3%4*%:2
1.06066
*:2*3%4*%:2 NB. area: 9%8
1.125
Also CubeSquareInscribing
http://mathworld.wolfram.com/CubeSquareInscribing.html
--- Roger Hui <[EMAIL PROTECTED]> wrote:
> http://domino.research.ibm.com/Comm/wwwr_ponder.nsf/challenges/May2007.html
>
> What is the size of the largest square that will fit in the unit cube?
>
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>
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