What’s better than an infinity mirror? One that can also serve as a clock. User dushu has put together an instructable that shows how you can go about making your very own infinity mirror clock. The project shows an infinity mirror + clock with an IR sensor to sense when someone is coming near. The colors of the hands are programmable over Bluetooth. It also shows a rainbow effect every 15 minutes.
To pull this off, you need an Arduino unit, an IR proximity sensor, a power supply module, and a few other things. The instructions and other relevant information are available on Instructables.