2008 iTest Problems/Problem 88
Problem
A six dimensional "cube" (a -cube) has
vertices at the points
. This
-cube has
edges and
edges. This
-cube gets cut into
smaller congruent "unit"
-cubes that are kept together in the tightly packaged form of the original
-cube so that the
smaller
-cubes share
square faces with neighbors (
-D square face shared by
unit
-cube neighbors). How many
-D squares are faces of one or more of the unit
-cubes?
Solution
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