# Shifting Plates

There are six plates next to each other in a row on a table. Bob grabs two plates and moves each plate one position to the left or to the right (if there is one plate or more at the target position then he puts the plate on top). Repeating this procedure, can he stack the six plates into a single pile? (Bob can move one plate to the right and one plate to the left or both plates in the same direction, but only the top plates).

• I guess you're the same person who posted this question here? Do you have an original source for this puzzle? Commented Dec 11, 2017 at 18:44
• you may want to clarify how exactly the plates move, perhaps by adding examples to make this question more clear. Commented Dec 11, 2017 at 18:51
• Please don't vandalise your posts. Commented Dec 11, 2017 at 19:19
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– Rubio
Commented Dec 19, 2017 at 13:00