Very well-made puzzler with great visuals.
The dice when held in the hand obscures the crosshair making it hard to see what I'm doing/ where to place things. I would move the dice to the side or away from the crosshair so players can see where they are looking. Some sort of feature where you can inspect the sides of the dice before placing, perhaps a UI element showing the sides that you can't see would help.
It was a bit unintuitive that dice sides had to be equal to connect. I think you could've taught players about it by having a puzzle where two dices had the same side connected and a third where they were different values without a connection. Having a setup like this would intuitively teach players about the mechanic.
The sensitivity was a bit odd and movement felt rough.
With some polish, more levels, and more mechanics you could release this as a full release.