BrainBash #2: Queen Controls

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My_Chemica1_Cha0s

Welcome to episode 2 of BrainBash (I changed the name). Like last time, this is a queen puzzle:

What is the minimum number of queens required on a chess board such that all squares are attacked? Explain and show where you would position the queens to control the board.

There may be multiple answers so if someone has already posted an answer, try to find another answer.

My_Chemica1_Cha0s

Link to the last post https://www.chess.com/forum/view/general/puzzlemaster-8-queens

25GSchatz22

5 queens?

My_Chemica1_Cha0s

yes but can you show me where you would position them?

Scarlet_Evans

Almost there, just one square left.... just enough for the Black King to be stalemated tongue.png

 

My_Chemica1_Cha0s
Scarlet_Evans wrote:

Almost there, just one square left.... just enough for the Black King to be stalemated

 

 

you're really close. good job.

Scarlet_Evans

Okay, I solved it!

My solution is: b3, c6, d4, f5 and either: e2 or e5

Both work, as shown here:

ec1b8530fa.png

 

31c2f1efc8.png


 

Now, the question is:

How many of such configurations there are?
Or maybe how many of unique configurations there is that are not rotation or mirrored images of any other solution?

Edit: fixed some typos tongue.png

My_Chemica1_Cha0s
Scarlet_Evans wrote:

Okay, I solved it!

My solution is: b3, c6, d4, f5 and either: e2 or e5

 

Both work, as shown here:

 

 

 


 

Now, the question is:

How many of such configurations there are?
Or maybe how many of unique configurations there is that are not rotation or mirrored images of any other solution?

Edit: fixed some typos

very well explained

My_Chemica1_Cha0s

This was my solution

 

jason543
OVER_9000_aka_Max wrote:

This was my solution

 

this solution works, but @Scarlet_Evans' solution does not because the squares the queens stand on are not attacked!

so technically that solution only attacks 59 squares

My_Chemica1_Cha0s
jason543 wrote:
OVER_9000_aka_Max wrote:

This was my solution

 

this solution works, but @Scarlet_Evans' solution does not because the squares the queens stand on are not attacked!

so technically that solution only attacks 59 squares

That's a very good point, but I believe the queens are still controlling their own squares they are on. You might be correct. Thank you for bringing this up

jason543
OVER_9000_aka_Max wrote:
jason543 wrote:
OVER_9000_aka_Max wrote:

This was my solution

 

this solution works, but @Scarlet_Evans' solution does not because the squares the queens stand on are not attacked!

so technically that solution only attacks 59 squares

That's a very good point, but I believe the queens are still controlling their own squares they are on. You might be correct. Thank you for bringing this up

yeah, most books and websites i've seen still claim that the squares pieces are on are not attacked, because technically an enemy piece can move to that square without being in danger, unlike any other attacked square

My_Chemica1_Cha0s
jason543 wrote:
OVER_9000_aka_Max wrote:
jason543 wrote:
OVER_9000_aka_Max wrote:

This was my solution

 

this solution works, but @Scarlet_Evans' solution does not because the squares the queens stand on are not attacked!

so technically that solution only attacks 59 squares

That's a very good point, but I believe the queens are still controlling their own squares they are on. You might be correct. Thank you for bringing this up

yeah, most books and websites i've seen still claim that the squares pieces are on are not attacked, because technically an enemy piece can move to that square without being in danger, unlike any other attacked square

I should've added this point to the question

jason543
here is my solution:

 

My_Chemica1_Cha0s
jason543 wrote:
here is my solution:

 

That's clever. The average being probably wouldn't see this. Good job

jason543
OVER_9000_aka_Max wrote:
jason543 wrote:
here is my solution:

 

That's clever. The average being probably wouldn't see this. Good job

thanks

GilbertJiangHB

 

My_Chemica1_Cha0s
GilbertJiangHB wrote:

 

This is also a very unique solution. well done

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