Excellent puzzle mechanic, even though you're evidently inspired by Fez.
I don't think it adheres to the theme, tbh. 'Only one perspective' goes for most games, really... I'd rather say you have multiple perspectives to chose from and that's in fact the opposite of the theme.
Even so, it's a good design and if you enjoy puzzle games you should explore this more after this week (you'll be busy rating other's entries, right?). One of them got me rattling the ol' spatial thinking quite a bit.