I made a zombie pit out of glass panes, but was surprised that they could still damage me when I move up to the glass. Likewise, I could also kill them through the glass.
Also, arrows can be fired through glass panes.
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On a whim, I decided not do it from farther away. I was about 3-4 blocks away, and the arrow went through
Confirmed. You have to be right up against the glass for it to work.