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Screen and radio are both data movement tools, so I don't understand the OP's classification process.

The next step after in-memory computing: in-screen computing!

Maybe not computing, but cathode ray tubes were used as RAM in the forties: https://www.radiomuseum.org/forum/williams_kilburn_williams_...

We're already moving towards self refreshing panels and the like. And it's not a stretch to imagine in-screen cursor movement.