Chess on an Infinite Plane
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hitthepin
Jan 13, 2018
0
#41
!!!!!!
Good ideas on castling. I like the idea of "guarding". Another possible way to use the guard is to let him just stay there. After clearing other pieces, the king jumps on the other side of the guard, and the rook moves inward. I believe @evert823 once said the guard is a good king defender. It's very maneuverable (same as king) but since he isn't worth too much he can easily give his life (be exchanged) for defending the king. Something like this:
Jan 13, 2018
0
#44
True. With all the queens, rooks, and bishops suddenly becoming much more powerful, along with chancellors and hawks, the guard is an important defensive piece to slow them down a bit.
Jan 13, 2018
0
#45
So, Rooks can move to an infinite selection of squares on an open board. Chancellors can move to all the squares rooks can, plus eight more.
So infinity+8=infinity.
The more you know...
So infinity+8=infinity.
The more you know...
I quite like that long castling round the guard, too.
I have been thinking this through, from a different pov. Why was the castling rule brought into chess? Because players were taking a few moves to position the king to safety, and it was seen as a good way to speed up the opening.
Perhaps we should wait until there's a reasonable sample of games to take a look at, and see where the safest square(s) for the king seems to be. That should be where the king should aim for, and therefore castling, or whatever it ends up being called, should be designed with this in mind. It should all be about getting the king to an ideal square quickly, just like the castling rule when it was introduced into classical chess.
I do like the idea of the king moving next to a guard, because the guard does seem like the most defensive piece in the opening, so it's natural for people to want to move them near their king.
hitthepin wrote:
So, Rooks can move to an infinite selection of squares on an open board. Chancellors can move to all the squares rooks can, plus eight more.
So infinity+8=infinity.
The more you know...
So infinity+8=infinity.
The more you know...
Yep, this is true, and therefore infinity - 8 = infinity.
Jan 14, 2018
0
#49
Your idea is good, @captaintugwash. Although surprisingly, I looked through several finished infinite games, and it seems the king is safe right on the square he starts at! But, there are many more games that have not been finished yet, so we will see if I have to change my assessment.
Btw, I made this diagram to help understand the power of the hawk. The hawk is a jumper, so it's good to compare it to the knight. The hawk attacks 16 squares, which is twice what the knight attacks (8). So it could be estimated to have about twice the value of a knight, or about 6 points.
But since it starts far-back, its power isn't immediately apparent. Some tempo are lost to get the hawk into play (and also for the opponent to attack it).
Also, H.G. Muller who studies this type of thing has made estimates for different types of jumpers. If I remember correctly, a jumping piece which attacks 16 "nearby" squares has a value even slightly more than two knights - maybe around 6.5 (not sure exactly).
Jan 14, 2018
0
#52
In the thread cobra91-vickalan, cobra91 mentions a piece called the “grasshopper”. What is this piece and what does it do? I’m curious.
hitthepin wrote:
In the thread cobra91-vickalan, cobra91 mentions a piece called the “grasshopper”. What is this piece and what does it do? I’m curious.
The grasshopper is used in grasshopper chess. It captures by jumping over other pieces. Here's an example board:
Thanks. Once the queen gets behind enemy lines it can get very messy indeed. I kept finding more and more attacks.
Getting hawks into the game early seems to be a reasonable strategy, too. They are awkward in the centre.
hitthepin wrote:
Um... bump.
I don't get it.