The variants of this chapter are not varying about the squares forms and dispositions, as for the Hexxagon games, but about restrictions of move destinations.
Recall of the "Ataxx mode"
here is in green the initail position, in yellow the 8 destinations, by twinning pieces, and in grey the 16 destinations by jumpinf the piece (which disappears from its initial position initiale).
Of course, from these 24 destinations, there are to remove squares with blocks or other pieces.
The 8 destinations corresponding to the "horse jump" in the Chess game are not allowed. So the jump is only in horizontal, vertical and diagonal directions.
Only the horizontal and vertical moves are allowed. Also, the colours are changing when a piece is beside an opponent, only in the horizontal and vertical direction, not in diagonal.