This month's Challenge Question: Specs & Techs from
GlobalSpec:
A typical Rubik's cube is made up of 27 small cubes (3 cubes
per edge). One of the cubes is always hidden. How many hidden cubes would a
Rubik's cube with 5 cubes per edge have?
How many hidden hypercubes would a Rubik's hypercube with 3 hypercubes
per edge have (assuming both the hypercube, and the observer's perspective, are
4D)?
And the answer is:
A Rubik's cube with 5 cubes per edge would have 27 hidden
cubes. A 4D Rubik's hypercube with 3 hypercubes per edge would have 1 hidden hypercube.
Both of these answers can be determined through the following formula:
In the formula above, N_{h}
is the number of hidden cubes/hypercubes, N_{e} is the number of
cubes/hypercubes per edge, and D is the dimension of the Rubik's
cube/hypercube.

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