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Implicit representation is of the form f(x, y, z) = 0. For a sphere it is just $x^2 + y^2 + z^2 = R^2$. I am wondering what is the equation for a cube.

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up vote 1 down vote accepted

$\max (|x|,|y|,|z| ) = 1$ for the unit cube.

See http://en.wikipedia.org/wiki/Lp_space#The_p-norm_in_finite_dimensions.

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Thanks for quick response! –  LittleSweet Oct 2 '12 at 13:34
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