Hermes
Quantum Physicist Roger Penrose illustrates the limitations of using machine intelligence to solve the euclidean plane. (Update! No audio Desync!)
Source
Strong A.I. Vs. The Euclidean Plane
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Make a program that determines that yes it is an infinite pattern once you've used each of the pieces at least a certain amount of times, or if you've covered a square box a certain size, without finding any spaces in between each used shape.