Physical objects to throw, that have tilt switches in them so they know when they've been thrown, and have ID tags (matching indicative shape) so the coordinating program / app knows which have been thrown, and then generates an appropriate random number?
This is an attractive idea; people _like_ throwing physical dice. There's dice with the "talk to a phone" bit in, but they're expensive and the randomisation is still done by physical orientation.
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Unfortunately it also sounds harder to do. :-/