The PlayStation 4's controller is called the DualShock 4, and is the most drastic redesign of the PlayStation controller since the introduction
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Sony DualShock 4 Wireless Controller Uncharted 4
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PlayStation 4 Console Design - PlayStation 4 Guide - IGN
PlayStation 4 Console Design - PlayStation 4 Guide - IGN
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So I mostly play using my ps4 controller because my dualshock 3 doesn't work all that great it has random inputs or ghost inputs, anyhow if anyone is wondering fallout 3 using
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