[Eventing Question] Sliding Blocks for gym ?

[LivyAmerdawn]

So... I had this idea of a psychic gym where you could move platforms around, in the model below they are 1x1x2 stone blocks but in the final version they would be 3x3x2. The "dusty" coloured tiles are where the stones can move to, but the specificity is that they will go on until they bump into a side, like if the physics were ice.

Also the thin dusty lines are tiles where the stones can go but not the player. anyway

is there a mean to make the stones movable AND walkable ? i hardly find tutorials on how to move stuff so to add ice physics on 3x3 blocks....

(Edit) i forgot to say that the upper middle-ish stone, when pushed downwards, pushes the stone underneath in a domino effect, so that all three center stones lock in place