Fun idea on the cube. I tried it on my laptop and:

* Found it hard to select the tape and drag it with the touchpad. If I happened to click in between two tiles I would rotate instead of moving. Very frustrating.

* Your link starts out solved? So I moved it around and then got bored.

Not a complaint or anything. I could simply not be the audience but I figured you'd be interested in just hearing from a rando normie.