Under for engineering purposes... if only one hand can be used, pulling and then quickly jerking to the side allows it to be separated from the roll. 

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Either. I’m just glad if it’s in the same room I am.
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I personally prefer under after watching the video of the person pulling the end and there is a large spider on the roll.
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Definitely over!
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The drawing on the patent application shows it as over
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Over is best unless you have a cat.
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(I know someone who will 'fix' them in other people's bathrooms. Tsk.)
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