Minecraft – How high can Minecraft spiders jump

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How high can spiders jump, and can they leap up on to a wall and climb from there? For instance, can a spider jump up to the lip in any of these (O is ground, X is wall):

              X
        X     XX
  X     XX     X
  XX     X     X
   X     X     X
OOOOOOOOOOOOOOOOOO

Everyone says you need to put a lip on your wall to keep spiders out, but nobody says if there is a minimum height before it is effective.

Best Answer

I always put my lip just high enough so that I don't bump my head on it (that is, with 2 blocks of air between the ground and the lip). I have watched it stop spiders and have never encountered a spider above the lip. James' answer is correct about the spider AI.

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