Although a nice game overall, there are a large number of particles in the opening screen and throughout the game which produce lag.
This would be worth playing if you remove the particles.
Despratly in need of a "go faster" button. I set up a battle, start it, turn off the animation, then find something to do for 10 min - the level still hasn't finished.
More time is spent waiting than actually playing.
Without the hotkey it seems a bit ... unplayable.
Oh, and you meantioned it being a new type of game O_o it seems to be ... reminisent of something else.
A good start - but no-where near worth wasting a day. The fog of war is a good addition and works reasonably well. Google "what makes a good tower defence" and it will give you a few ideas :)
Oh, creeps are too week. I started writing this comment at the start of a level - didn't suffer from it at all.
Brilliantly done - but two things stopping it be perfect.
1) you need to be good at math or at least like math for the game to appeal
2) The walkthrough is even more confusing than the problems.