Core77

A cynic would say that most design schools would fit that bill, but The Museum of Unworkable Devices is very 1.0, and very fun. You could loiter in the Perpetual Motion Pioneers section for awhile, or go straight to the Advanced Concepts gallery and check out The Gyrogenerator (pictured above).

Here's the pitch:
This museum is a celebration of fascinating devices that don't work. It houses diverse examples of the perverse genius of inventors who refused to let their thinking be intimidated by the laws of nature, remaining optimistic in the face of repeated failures. Watch and be amazed as we bring to life eccentric and even intricate perpetual motion machines that have remained steadfastly unmoving since their inception. Marvel at the ingenuity of the human mind, as it reinvents the square wheel in all of its possible variations. Exercise your mind to puzzle out exactly why they don't work as the inventors intended. [MUG]