Convert base to rotate 360 deg

I need to build a turntable base. The platform needs to be able to rotate 360 degrees in either direction. There are no wires to the platform - i.e. the standard arm has essentially been removed.

Is there a way to convert the base to rotate 360 deg?

Thanks

Do you need a total of 360 or 720 deg of rotation? If you just need 360 total, then the below servo setup could be used on the under side of the turn table to rotate it 360 deg.

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