Half a croissant, on a plate, with a sign in front of it saying '50c'
h a l f b a k e r y
The word "How?" springs to mind at this point.

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Vostok Ice Mountain

Pump massive amounts of water up to Vostok station, make a mountain.
  [vote for,

So it's never warm at Vostok station, so ice, and perhaps the solution-looking-a-problem that is Pykrete, are cheap and useful building materials. What are we going to build? A massive great mountain. To do this, we're going to need a couple of power stations, nuclear for preference. One at the shore as a pumping station, and another at the site as a second pumping station and general power station. Then, we're going to start pumping water. A team of robots dragging big hoses around take care of spraying water about in a nice square. I'm thinking a square, of about 100km per side. Then, build another, until you have a 40km-tall stepped pyramid. You can't go much taller because the atmosphere get's a little close to 0 (unless it's much colder over the antarctic). Why build it? not sure, it's cool, you could probably get some pretty-atmosphere free images with a nice telescope, although you're not going to cover much sky with a polar location. You could possibly use it to put a space launch track up the side, but again, not the ideal location. Mountain climbers would probably like it.
bs0u0155, Jan 26 2013

A perhaps similarly-shaped Idea Desert_20Space-Scraping_20Arcologies
Also, it has hollows inside, so the lower levels don't get squished until they flow like a glacier. [Vernon, Jan 27 2013]

Ice, ice baby The_20Igloo_20Pyramid_20Of_20Dome_20Argus
[theircompetitor, Jan 27 2013]

Great Pykrete Pyramid of Ellesmere Great_20Pykrete_20P...id_20of_20Ellesmere
*ahem* 2009 [BunsenHoneydew, Aug 09 2016]


       Not that you shouldn't try of course, but I think you'd run out of water before you ran out of atmosphere.
FlyingToaster, Jan 26 2013

       meh, this one's only 133,000 cubic kilometers or so.
bs0u0155, Jan 26 2013

       throw in a few fancy materials, not much maybe a couple of diagonal steel cables here and a bit more Pykrete there. Also, if it expands slowly enough, it doesn't matter, we'll just add more to the top.
bs0u0155, Jan 26 2013

       I got some deja vu here.
FlyingToaster, Jan 26 2013

       not that again.
bs0u0155, Jan 28 2013

       Apparently, yes, that again - [link]
BunsenHoneydew, Aug 09 2016

       //a 40km-tall stepped pyramid.// So, what is the pressure at the base of the pyramid? What is the melting point of water at that pressure? And how cold would the ice have to be to prevent plastic deformation under those temperatures?
MaxwellBuchanan, Aug 09 2016


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