The Lama family of pieces jump orthogonally on every second square, but have only four capture squares. They can, however, easily change square colour by moving to the adjacent orthogonal square. Any pair of these pieces can achieve checkmate together with a king.
The Llama jumps one or two steps orthogonally, capturing only on the second. Its value is 2.
The Alpaca jumps one or two steps orthogonally, capturing only on the first. Its value is 2.
The Guanaco jumps continuously two squares orthogonally to empty square (i.e. it slides on the same square colour). It can also step, and capture, one square orthogonally. Its value is somewhat less than a knight. A peculiarity is that jumps are allowed even if it has a capture possibility on the first square.
The Vicuña jumps two squares orthogonally, and continues jumping as long as there are empty squares. It can also move one square orthogonally. It can only capture on its first two-square jump. Its value is somewhat less than a knight.
© M. Winther 2009