I’ve considered 2 meanings of this theme:
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You connect “nodons” (circles) to perform math. (This isn’t a game idea so I wasted just 2 days)
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You control 2 entities at the same time, and one’s controls (and the world) mirror the other (eg. if one goes left, the other one goes right). There are only a few differences between the left half of the world and the right half, and you have to use these differences to complete the level by desyncing the 2 entities. Thus they are connected.
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You connect some wires so that electricity can reach the other wire.