A big problem with sliding especially is that in general, it usually takes 1 turn, which gives for confusing order as to what happens when you have multiple monsters sliding at the same time. Do they hit, do they become one, do you have to do a jig every time it happens?
That being said, if you only slide 1 move per turn, but you can still turn your sword, it might make for interesting mechanics.
Assume that a roach is first immobilized on the ice. As he isn't moving, he can't start moving as he has no way to gain any momentum. To kill him, you launch yourself towards him and use your sword. An interesting characteristic is that, because he can't gain any momentum, even if you are right next to him, you won't die. This doesn't mean that if you run into the roach, he won't open his mouth and gnaw on your body.
Let's now pretend you are sliding toward a wall surrounded by ice. If you hit the wall, you are going to stop. Never fear! If you are next to a wall, and you hit it, you stop, but then you can push off of the wall, back in the direction you came, so you aren't totally stranded. As rock golems leave rubble wherever they go, when you hit one on ice, it forms a wall moving in the same direction and speed as the golem was. This could make for interesting puzzles, where you have to kill the golems to clear the room, but you have to do so in such a way that you can still reach the exit, or where you have to use such moving walls to launch yourself off in a new direction to kill another golem and do the same thing.
Assume you have an ice tile next to water or a pit. As you can't stop moving while on ice, if you launch yourself towards either, you have effectively signed your death warrant.
One last point. If you have drunk a speed potion, you would move one tile per half-turn, as makes sense.
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