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Thank you so much for your comments. I take advantage of the occasion to
say my pleasure and pride to be a chessvariant member despite of my
limited background in this field. 
Moreover, really, 'chaotic' or 'polymorphous' chess was just an
unexpected possible development of the idea of playing dominoes with
dices. This is probably the reason why I did not develop much time in
exploring more deeply the richness of this variant. Your comments are
incentive.

Conventions:

1 = Pawn
2 = Knight
3 = Bishop
4 = Rook
5 = Queen
6 = King

In case of multiple kings, they simply have to be mated one by one;
don't
forget that the extreme sensibility of the least move can quikly turn an
areopage of kings into an army of pawns!

About pawns precisely, some necessary movements, like a gear, will give
occasion to any piece to come to life again.

Displacement: you use a column/range method, in this precise order, as in
move's notation. For example, a bishop that starts from d3 to go to h7
with an up-face value of 3 and a player-value of 1, will stay with its
up-face value of 3 and a player-face value of 1; but if it went from d3
to
g6, it will become: up-face value 6 (king in our convention) and
player-face value of 2 (knight in our convention).

Initial position: (let's note that the chaotic nature of the variant
appears in the existence of multiple possibilities of initial positions
themselves!). In order to avoid a quick plethora of kings, I suggest that
the player face of the pawn be a bishop.