What is the largest n dimensional box that can fit inside a sphere?

rylz

in ℝⁿ what is the largest n-dimensional box that can fit into the (n-1) sphere

mfb

Can you find a solution for n=2, n=3?
This should give you a hint how it works for n dimensions.

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rylz	What is the largest n dimensional box that can fit inside a sphere? Tweet in ℝⁿ what is the largest n-dimensional box that can fit into the (n-1) sphere

mfb Mentor	Can you find a solution for n=2, n=3? This should give you a hint how it works for n dimensions.