Very slick (pun intended?) puzzle game. Good visuals and music. The resolution at first did not fit my browser, but once I F11'd it looked good. I have seen a few dice rolling sokoban type games so far, but this was the first time I saw an indicator for the upcoming sides, which was very helpful; it could get a bit messy around multiple goal-sites, but overall I thought it was a nice system.
I thought your level progression was excellent. Great tutorialization and a nice challenge escalation. My first glance at level 11 I thought it was impossible, then I solved it first try. Lucky? Or amazing puzzle design? Either way I had a lot of fun.
Overall good execution on a clever twist on dice rolling. And I love the title :D