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In the early 1970s, Pacific Game Company produced a few 3D games, including 3D Chess, 3D Tic Tac Toe, and 3D Checkers, the latter of which I never saw before, but is available on eBay under the name of Space Checkers. Not to be confused with another, recent game called Space Checkers.
Rules? Not entirely sure, but white moves over and up, while black moves over and down. The plastic is your typical cheesy looking 70s “we-need-to-look-functional” design.
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I actually have a copy of this that I picked up in a thrift store. Haven’t played it. Not sure of which box I’d have to open to find it.