Ultimate Stalemate? Mental Activity

zectron

The objective here is pretty simple - What is the maximum number of pieces you can have on a chess board, and have it be stalemate? Here's something to make it a little more interesting - assume the pieces have the following point totals:

Pawn (1)

Bishop (3)

Knight (3)

Rook (5)

Queen (9)

 

What is the maximum number of points you could achieve? For example, the following board has 186 points - 62 bishops.

 

 

 

 

 

 

 

Can you beat my example? If so, can you find the best example? And remember, it must be stalemate!

Remellion

Illegal position: wK on a8, bBs on a7 and b8, bR on b7, bK somewhere and bQs fill the rest, for 542 'points' + 2 kings. Easily shown to be the maximum.

Legal position: More interesting question. I don't know.

eckmater

 I think this is the most points points, 551.

P_S_S_23

Remellion

@eckmater: that's 542, the one I posted. You have 59 white queens and a white king.

Daniel-Gong

Daniel-Gong

This is the most for an illegal pisition

Daniel-Gong

Daniel-Gong

and this is this is the most for a legal position

Daniel-Gong

Illegal=729 points

Legal=103 points

BigDoggProblem
[COMMENT DELETED]
adypady02

Post #15 isn't stalemate. Black has Nb4-a6.

BigDoggProblem
abrahampenrose wrote:

Another one, in which Black even has his entire army! 

 

I couldn't find a way to turn the last three Black pawns into queens. 

Guys - it's more fun if its legal. 

I don't think this position is legal (show me how the pawns reached their promotion squares...?)

BigDoggProblem

Here is a legal stalemate with 165 points on the board.

 

Proof that the pawns can pass each other without capturing any of the units needed for the stalemate position:




zectron
BigDoggProblem wrote:

Here is a legal stalemate with 165 points on the board.

 

 

Proof that the pawns can pass each other without capturing any of the units needed for the stalemate position:

 




Your example is actually checkmate, not stalemate. That queen on c8 is your problem.

BigDoggProblem
zectron wrote:
BigDoggProblem wrote:

Here is a legal stalemate with 165 points on the board.

 

 

Proof that the pawns can pass each other without capturing any of the units needed for the stalemate position:

 




Your example is actually checkmate, not stalemate. That queen on c8 is your problem.

Haha, so it is. But easily remedied.

Remellion

OK BigDogg. A minor change for a 168 points legal stalemate. Captures were white axb(P), cxd(P), black hxg, gxf, fxe, exd (2B 2N) to let the white pawns pass.

BigDoggProblem
Remellion wrote:

OK BigDogg. A minor change for a 168 points legal stalemate. Captures were white axb(P), cxd(P), black hxg, gxf, fxe, exd (2B 2N) to let the white pawns pass.

 

Good spot. Points should be racked up using white units, and this racks up a bit more than I had.