See that shiny tower right in the middle there? That's the proposed 15 Penn Plaza, a skyscraper that would rival the Empire State Building in height. What's worse, it wants to occupy the same space as the Empire State, which has caused quite a ruckus.

The Multi Mill is Dutch-based NL Architects's attempt to combine a theater and cinema space with a waterfront lounge area. This isn't just any theater though — this one spins round and round as you watch. Perhaps most cool of all is that it may really be built.

Here's a mindbending design for a building: the design for Kazakhstan's new National Library is shaped like a Mobius strip, folding around and in on itself.

Love or hate the products, there's no denying that Apple's got something crazy going on with its stores. Fashioned after Apple's "Cube" in Manhattan, the company's new Shanghai location has a big glass cylinder above ground and the rest of the store under. It's so striking, we're tossing in a few more images down below. Shanghaiist, via Gizmodo