Computer scientist Todd Neller has created and documented his Arduino rendition of of Oskar van Deventer's 4-Bit Maze game. Although very simple in principle, to win the game requires a keen short-term memory and a little patience. The "maze" consists of four LEDs (each with a matching button), that are on at the start of the game. The goal is to turn off all the LEDs. However, when you turn one of the off, others may turn on. Here is an example of a finished prototype:
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