Eagle(EA): Moves like a Grasshopper (along Q-lines over another unit of either color to the square immediately beyond that unit; a capture may be made on arrival, but the hurdle is not affected), but deflects 90° either way on passing over the hurdle. The arrival square is adjacent to the hurdle. 

Maximummer: Black must play the geometrically longest move or may choose from among longest moves of equal length, distances being measured from the center of each square. Diagonal and oblique distances are measured from the orthogonal coordinates by using Pythagora’s theorem (take the square root of the sum of the squares of the orthogonal distances). All other orthodox chess rules apply. White Maximummer: Only White must play the geometrically longest moves, Black plays orthodoxal.