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From: Michael Hennebry on 5 Mar 2010 10:51
What is the minimum height of a full dimensional n-simplex whose
vertices are members {0, 1}**n ?

Equivalently, what is the minimum non-zero distance to the origin from
a hyperplane defined by members of {0, 1}**n ?

The answer is at most 1/sqrt(n) .
The corner simplex provides an example.

A smaller answer might be possible if the simplex is oblique enough
that the height-defining segment does not lie entirely within the
hypercube.

Anyone have the answer or a lower bound on it?
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