The Boundary of a Hypercube
The boundary of a solid hypercube?
\partial(I\times I\times I\times I)
=
\partial((I\times I)\times(I\times I))
=
\partial(\square\times\square)
=
(\partial\,\square\times \square)\cup (\square\times \partial\,\square)
=
(\box\times\square)\cup(\square\times\box)
Two congruent pieces, but what are they?
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