What's this?

Those are Apple paddles.  The choice joystick for games like Brickout, Arkanoid, Wavy Navy, and any other game that makes sense to have an analogue wheel. :)

That's an Apple II clone.  However, IBM/Apple/Atari adapters weren't uncommon.

 
Paddles unlike joysticks only have one degree of freedom - rotating one way or the other.  So they only work with certain games.

 
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