There is no Betza-like system for moves in 3d; even if there was it would probably not be helpful in a variant like this, where layers have different properties, rather than representing an isotropic 3d space.
I was just contemplating how far one could push the Interactive Diagram towards handling a game like this through the trick of mapping all levels to a 2d board. (Something that in practice would have to be done for playing it anyway.) E.g. an 18x18 board could have the waves from a1 to h8, the sea from k1 to r8, and the air from a10 to h18, and the rest inaccessible 'holes'. A vertical move between waves and air would then be a (0,10) leap, or vWXXX in XBetza.
There is no Betza-like system for moves in 3d; even if there was it would probably not be helpful in a variant like this, where layers have different properties, rather than representing an isotropic 3d space.
I was just contemplating how far one could push the Interactive Diagram towards handling a game like this through the trick of mapping all levels to a 2d board. (Something that in practice would have to be done for playing it anyway.) E.g. an 18x18 board could have the waves from a1 to h8, the sea from k1 to r8, and the air from a10 to h18, and the rest inaccessible 'holes'. A vertical move between waves and air would then be a (0,10) leap, or vWXXX in XBetza.