The PS3 version suffers from noticeable screen tearing. Graphical pop-in is a noticeable issue on both platforms; certain models -- characters, objects, weapons -- pop in and out of the world as the camera shifts -- even at close distances. The most common offender is foliage, but I've seen this happen to pipes on buildings, and even enemy players in multiplayer matches. The game also suffers from minor texture pop-in; this becomes most noticeable when watching enemy players on the "kill-cam" after dying in a multiplayer match. The game's native 720p (technically 704p) resolution is the same as most console games, but BF3 often requires precision shooting at long distances; and sometimes it seems as if there's just not enough pixels on-screen to render far away enemies with enough fidelity to make them valid targets.
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If you're looking for a single-player experience, you should not buy Battlefield 3. If, on the other hand, you're looking for a multiplayer experience you can't find anywhere else, this is the game for you -- even if it's a bit downsized from its PC roots. The game's issues are outweighed by the fact that no other game on the market plays like this.