I like the simplistic art style, and the music fits it quite well. The concept is easy to understand but it results in some interesting puzzles.
I'd rather prefer to select the number I need without the reroll though, it would be more convenient. But yeah, even if the theme has inspired this kind of movement mechanics, having no "dice roll" might make the connection less clear for some people.
Overall, the game seems to be very polished, and I see how it can be expanded further into a full-blown version should you decide so. Splendid!