Super Chess

This is a chess variant played on a 10 x 10 board (included), with 4 extra pieces per side:

• Cyclops (next to the king). Can move 1, 2 or 3 spaces straight forward, capturing all enemy pieces there, and jumping all friendly pieces in the way; can also move 1-3 spaces backwards, capturing all pieces, enemy or friendly. Can be turned to a new facing direction after each move, or turn in place without moving.

• Archer (next to the queen). Moves and captures like a knight, plus it can "shoot" and capture a piece 3 squares away orthogonally while staying in place.

• 2 Super Pawns (in front of the king and queen). Like pawns, plus: on their first move they can hop over one square to the second square; at any time they can capture a piece 2 squares away diagonally forward, hopping any piece in the way if necessary.