Yes, I suppose that would work. The thing is, you're not done yet. After dissolving it, you then purify the metal through a few steps. For simplicity, lets say you don't need anything more than the lye. After that, you get your perlash back, and you are left with a nugget of Alumina.
Yes Alumina. All that was just to turn Bauxite into Aluminum Oxide.
It now needs to be converted into Aluminum Chloride, and I'm not certain the best way to show that. After you have the Aluminum Chloride, back to the smelter you go, where you then use metallic sodium, which is then, in a somewhat dangerous process, used in a replacement reaction to produce Aluminum Metal. Plus, you have to remove all the water from the Aluminum Chloride crystals, even the hydrated ones, with high temperatures. That bit shouldn't be too hard for Dwarves.
To make things even worse, I believe it is practically impossible to produce Sodium metal without electrolysis. I don't know of a way to do that.
So unless you want to go into electrolysis, I say nay to Aluminum. There is a reason why it wasn't developed from antiquity.
As for mirrors, why not just use Silver? And I'm pretty certain Toady doesn't want to see beds made of something other than wood.. even mighty Adamantium can not be used to make a bed.
[ November 03, 2006: Message edited by: Devastator ]