21. A Knight cannot perpetually chase a Rook, regardless of whether the Rook is protected, if the Rook only counter attacks in one of its moves. (See examples in Diagram 45, 46, and 47)


Diagram 45: Red (in Capital) moves first

H4+3 r5-1
H3+4 r5+1
H4-3 r5-1
H3-4 r5-1
H4+3 ....

Explanation:
The Red Knight is perpetually chasing the Black Rook while the Black Rook is doing "one chase and one idle". Red has to change.

Diagram 46: Red (in Capital) moves first

R7+2 h1+2
R7-1 h2-1
R7+1 h1+2
R7-1 h2-1
R7+1 h1+2

Diagram 47: Red (in Capital) moves first

H1+3 r87
H3-1 r78
H1+3 r87
H3-1 r78
H1+3 ...

Explanation:
In Diagrams 46 and 47, the situation is called "Two chases and one chase back". The Knight is doing the "two chases" and the Rook is doing the "one chase back". Although the Knight is forced to do the "two chases", it still violates the rule and has to change.

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