Ours is facing outward, based on advertising pictures of the bedding and my own personal preference. The inside of the bumper, though, is a pretty striped pattern, so it's just as stimulating for the baby. (Though we're probably going to take out the bumper once we put the baby in the crib.)
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ours was facing outward, base on the advertising picture but we ended up taking it out, and buying a breathable bummer once the baby was really sleeping in the crib.
Re: bumper help!
Emily 8.8.08
Madeline 1.2.11
William 8.5.12