What is the smallest convex set containing $8$ vertices of a hollow cube in $R^{3}$?
Convex set containing $8$ vertices of a hollow cube in $R^{3}$?
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real-analysis
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0Can you please justify this termenology? Thanks in advance! – 2012-04-07
1 Answers
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$\{\sum_{i=1}^{8} \lambda_i v_i | \lambda_i \geq 0, \sum_{i=1}^{8} \lambda_i=1\}$, where $v_i$ are the vertices of the hollow cube.