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Box World

Problem

In box world all the buildings are made from cubic box sections.

Not counting different orientations, how many distinct ways can you connect four rooms together?


Solution

There are 8 distinct ways of connecting four unit cubes.

How many distinct ways can you connect together five unit cubes?
What if you count different orientations?
Can you generalise?

Problem ID: 55 (Nov 2001)     Difficulty: 2 Star

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