A termite lives in the very middle of a large cube divided into 27 small cubes. It has always dreamed of discovering the entire cube by taking an awesome journey. Since it does not want to be bored during the journey, it wants to visit all small cubes exactly once. It can go into a new small cube if the new and the current one share a face. Can its desire be fulfilled?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A termite lives in the very middle of a large cube divided into 27 small cubes. It has always dreamed of discovering the entire cube by taking an awesome journey. Since it does not want to be bored during the journey, it wants to visit all small cubes exactly once. It can go into a new small cube if the new and the current one share a face. Can its desire be fulfilled?

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