I have been constructing a large structure dug below ground level. Looking down into it at certain angles, sections of the structure (and the world behind it) do not render. See images - the first shows the structure rendered whilst the second, at a slightly different angle, shows a gap through to the void.
I had noticed this on rare occasions in previous versions of Minecraft but it is far more prevalent in version 1.8.
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Dupe of MC-63020