11.4" will accommodate some pretty serious graphics cards, including the $1000+ GeForce GTX Titan. Asus' mini GeForce GTX670 should be strong enough for all currently-available games on a single monitor.
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i7-4770K, H70, Gryphon Z87, 16 GiB, R9-290, SSD, 2 HD, Blu-ray, SB ZX, TJ08-E, SS-660XP², 3007WFP+2001FP, RK-9000BR, MX518