I invented a new class of fairy pieces.

In chess variant, colorbound describes that can only ever visit the squares of same color.

I devised the way of changing color of the piece near the boundary of the chessboard.

The dabbaba moves (with or without taking) two squares horizontally or vertically. Sometimes, it can't move two squares to a certain direction because of it is one square away from the boundary of the chessboard.

My SuperDababba can move one square horizontally or vertically to a certain direction while it can't move two squares horizontally or vertically to this direction because if it can move two squares horizontally or vertically to this direction, It escape chessboard.

The same logic can be applied to Kirin (Dabbaba+Ferz) or Bede (Moves as bishop or dabbaba) of 'Chess with different armies'. My SuperKirin(SuperDabbaba+Ferz) of SuperBishop(Moves as bishop or superdabbaba) are not colorbound pieces. they can change their color near the boundary of the chessboard.

It seems that King and SuperBishop can force checkmate against a lone King. So superbishops are approximately equal in strength to rooks.

Introducing of these weakly colorbound piece will diversify fairy pieces and fairy chesses.

It might also work for Knight moves or extended Knight moves.