Can a Tree Visit Every Cell in a Cubic Lattice Blindly?

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intervoxel
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I need to generate a tree in a cubic lattice that, from any cell, visits every other cell in the lattice just once. This visit must be blind, that is, it is not allowed to mark the cell as visited.
Thanks in advance for any solution or reference.
 

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intervoxel said:
I need to generate a tree in a cubic lattice that, from any cell, visits every other cell in the lattice just once. This visit must be blind, that is, it is not allowed to mark the cell as visited.
Thanks in advance for any solution or reference.
Is this schoolwork?
 
No, it's research.
 
I Found a solution. Thanks.