Craft two blocks of Quartz (a 4x4 square of Nether Quartz) either via your inventory or by using a crafting table for regular Quartz blocks, then make a 2x1 vertical stack of Quartz to receive the option of crafting the pillar block variant.
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You can't. You can, however, mine it in the snapshot versions of Minecraft 1.5
Mine Nether Quartz, then on your character's own crafting slot, put a piece of Nether Quartz in each, to craft them into one Quartz Block.
You find Quartz ore in the Nether
You find nether quartz ore randomly inside the nether, you can mine this and use four pieces to create a nether quartz block on both PC and console version.
What you do is you get a 2 block high pillar and stand right next to it, then you put a torch on it and it refills you air.