It seems like a cool idea and the presentation is nice, but the level design seems pretty lazy, I ran through 80% of the game before I even understood the rules. I think it would be better to make less levels and spend more time designing them, also first levels are kind of redundant, you should bring in at least a bit of the core mechanic in first level and then every next level should either be more difficult, or easier but bringing new mechanic / twist.
Overall it seems really good, excluding the level design ;)