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Fix rooks
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Darrel Hoffman
  • 4.5k
  • 18
  • 32

20 of each can fit:

 AC B B AC AC B B AC
 A CA CA A A CA CA A
 B C C B B C C B
 B C C B B C C B
 A A A A A A A A
 C . . C C . . C
 B B B B B B B B
 A C C A A C C A

20 of each can fit:

 A B B A A B B A
 A C C A A C C A
 B C C B B C C B
 B C C B B C C B
 A A A A A A A A
 C . . C C . . C
 B B B B B B B B
 A C C A A C C A

20 of each can fit:

 C B B C C B B C
 A A A A A A A A
 B C C B B C C B
 B C C B B C C B
 A A A A A A A A
 C . . C C . . C
 B B B B B B B B
 A C C A A C C A

Added Rooks 20 solutions
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Darrel Hoffman
  • 4.5k
  • 18
  • 32

Here are my own solutions I put together. They With the exception of the Rooks solution, they have already been equaled or surpassed by Daniel's answer, so I'm just posting them for comparison. Leaving out rooks for now until someone else posts their own solution.

14 of each can fit:

 . B . A . C . .      . B A A B C C .
 A . C . B . A .     A B C C B A A B
 . C . . . . . B     . C C . . . A B
 . . B . . . . .     . . B A . C . .
 . . . A . C . .     . . B A . C . .
 . . C . . . A .     . C C . . . A B
 . B . C . A . B     A B C C B A A B
 . . A . B . C .     . B A A B C C .
 Just one color       Both together

Rooks:

20 of each can fit:

 A B B A A B B A
 A C C A A C C A
 B C C B B C C B
 B C C B B C C B
 A A A A A A A A
 C . . C C . . C
 B B B B B B B B
 A C C A A C C A

Here are my own solutions I put together. They have already been equaled or surpassed by Daniel's answer, so I'm just posting them for comparison. Leaving out rooks for now until someone else posts their own solution.

14 of each can fit:

 . B . A . C . .      . B A A B C C .
 A . C . B . A .     A B C C B A A B
 . C . . . . . B     . C C . . . A B
 . . B . . . . .     . . B A . C . .
 . . . A . C . .     . . B A . C . .
 . . C . . . A .     . C C . . . A B
 . B . C . A . B     A B C C B A A B
 . . A . B . C .     . B A A B C C .
 Just one color       Both together

Here are my own solutions I put together. With the exception of the Rooks solution, they have already been equaled or surpassed by Daniel's answer, so I'm just posting them for comparison.

14 of each can fit:

 . B . A . C . .      . B A A B C C .
 A . C . B . A .     A B C C B A A B
 . C . . . . . B     . C C . . . A B
 . . B . . . . .     . . B A . C . .
 . . . A . C . .     . . B A . C . .
 . . C . . . A .     . C C . . . A B
 . B . C . A . B     A B C C B A A B
 . . A . B . C .     . B A A B C C .
 Just one color       Both together

Rooks:

20 of each can fit:

 A B B A A B B A
 A C C A A C C A
 B C C B B C C B
 B C C B B C C B
 A A A A A A A A
 C . . C C . . C
 B B B B B B B B
 A C C A A C C A

Source Link
Darrel Hoffman
  • 4.5k
  • 18
  • 32

Here are my own solutions I put together. They have already been equaled or surpassed by Daniel's answer, so I'm just posting them for comparison. Leaving out rooks for now until someone else posts their own solution.

Bishops:

14 of each can fit:

 . B . A . C . .      . B A A B C C .
 A . C . B . A .     A B C C B A A B
 . C . . . . . B     . C C . . . A B
 . . B . . . . .     . . B A . C . .
 . . . A . C . .     . . B A . C . .
 . . C . . . A .     . C C . . . A B
 . B . C . A . B     A B C C B A A B
 . . A . B . C .     . B A A B C C .
 Just one color       Both together

Knights:

10 of each can fit:

 A C B . . B C A
 A C B . . B C A
 B C A . . A C B
 B C A . . A C B
 . . . . . . . .
 . . . A A . . .
 . . C . . C . .
 . . . B B . . .

Queens:

6 of each can fit:

 A B . . B A . .
 C . . . . C . .
 C . . . . C . .
 A B . . B A . .
 . . . . . . . .
 A . . . . . . .
 . . . . B . . .
 B . C C A . . .

Kings:

12 of each can fit:

 A B B A . A B .
 C . . C . C . B
 C . . C . . C A
 A B B A . . . .
 . . . . A C C A
 A B . . B . . B
 C . B . B . . B
 . C A . A C C A

Post Made Community Wiki by Darrel Hoffman