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Glorfindel ♦
Glorfindel ♦
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I would like to add another example.

(1) A rook can isolate a lonely king from a portion of the board by forming a barrier. A bishop cannot; for that same task you need 2 bishops. That means, roughly, 1R~2B

(2) 2 rooks can form a barrier that blocks a knight. 2 bishops cannot; for that same task you need 3 bishops. In this other scenario we have, roughly, 2R~3B

  1. A rook can isolate a lonely king from a portion of the board by forming a barrier. A bishop cannot; for that same task you need 2 bishops. That means, roughly, 1R~2B

  2. 2 rooks can form a barrier that blocks a knight. 2 bishops cannot; for that same task you need 3 bishops. In this other scenario we have, roughly, 2R~3B

Averaging (1)1. and (2)2., we see that the quotient R/B lies between 1.5 and 2. Which seems to be in accordance to the theoretical values R~5P vs B~3P.

I would like to add another example.

(1) A rook can isolate a lonely king from a portion of the board by forming a barrier. A bishop cannot; for that same task you need 2 bishops. That means, roughly, 1R~2B

(2) 2 rooks can form a barrier that blocks a knight. 2 bishops cannot; for that same task you need 3 bishops. In this other scenario we have, roughly, 2R~3B

Averaging (1) and (2), we see that the quotient R/B lies between 1.5 and 2. Which seems to be in accordance to the theoretical values R~5P vs B~3P.

I would like to add another example.

  1. A rook can isolate a lonely king from a portion of the board by forming a barrier. A bishop cannot; for that same task you need 2 bishops. That means, roughly, 1R~2B

  2. 2 rooks can form a barrier that blocks a knight. 2 bishops cannot; for that same task you need 3 bishops. In this other scenario we have, roughly, 2R~3B

Averaging 1. and 2., we see that the quotient R/B lies between 1.5 and 2. Which seems to be in accordance to the theoretical values R~5P vs B~3P.

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Herb
Herb
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Nice discussion!

I would like to add another example.

(1) A rook can isolate a lonely king from a portion of the board by forming a barrier. A bishop cannot; for that same task you need 2 bishops. That means, roughly, 1R~2B

(2) 2 rooks can form a barrier that blocks a knight. 2 bishops cannot; for that same task you need 3 bishops. In this other scenario we have, roughly, 2R~3B

Averaging (1) and (2), we see that the quotient R/B lies between 1.5 and 2. Which seems to be in accordance to the theoretical values B~5PR~5P vs B~3P.

Nice discussion!

I would like to add another example.

(1) A rook can isolate a lonely king from a portion of the board by forming a barrier. A bishop cannot; for that same task you need 2 bishops. That means, roughly, 1R~2B

(2) 2 rooks can form a barrier that blocks a knight. 2 bishops cannot; for that same task you need 3 bishops. In this other scenario we have, roughly, 2R~3B

Averaging (1) and (2), we see that the quotient R/B lies between 1.5 and 2. Which seems to be in accordance to the theoretical values B~5P vs B~3P.

I would like to add another example.

(1) A rook can isolate a lonely king from a portion of the board by forming a barrier. A bishop cannot; for that same task you need 2 bishops. That means, roughly, 1R~2B

(2) 2 rooks can form a barrier that blocks a knight. 2 bishops cannot; for that same task you need 3 bishops. In this other scenario we have, roughly, 2R~3B

Averaging (1) and (2), we see that the quotient R/B lies between 1.5 and 2. Which seems to be in accordance to the theoretical values R~5P vs B~3P.

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Diedrsch
Diedrsch
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Nice discussion!

I would like to add another example.

(1) A rook can isolate a lonely king from a portion of the board by forming a barrier. A bishop cannot; for that same task you need 2 bishops. That means, roughly, 1R~2B

(2) 2 rooks can form a barrier that blocks a knight. 2 bishops cannot; for that same task you need 3 bishops. In this other scenario we have, roughly, 2R~3B

Averaging (1) and (2), we see that the quotient R/B lies between 1.5 and 2. Which seems to be in accordance to the theoretical values B~5P vs B~3P.