The dice side doesn't seem to be affecting the game, but that was pretty addictive.
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Yeah, the dice face you see is purely cosmetic. It was a fairly late addition (around the time of the falling dice on the title screen) that I added in an attempt to give the game a little more visual flair. There's no mechanically relevant RNG in the game. I figured that was going to be a common interpretation of the theme, so I intentionally avoided it.