I noticed a neat heuristic of AlphaZero and I believe it is very important

I noticed a very important pattern in all of AlphaZero's chess games. In all of its games, it always captures or trades pieces towards the centre. If I denote the d and e file as C0 each; then all the pieces captured were towards the centre i.e. C0 in the earlier stages of the game and then C1 (c and f file) and so on. There was minimum deviation from this pattern. Only Stockfish tried to capture at C2 or C3 (the respective files b and g; and a and h). And then AlphaZero had to respond to it with the usual recapture. But all of its captures were always in C0 or C1 first and then later on also C2 or C3.

I believe it is a significant understanding that I reached of chess. What do you think?

https://www.chessgames.com/perl/chessplayer?pid=160016
@HamburgerYumYum, you can see here the heuristic in all the games.

Sample game:-

@TumpaiTobo, the basic principle is:-Move all pieces toward the centre. And from AlphaZero's chess games, I appear to see the modified principle:- Trade towards the centre.

@HamburgerYumYum, that's not an AlphaZero game. In all of AlphaZero's chess games, I see this pattern of capturing towards the centre; unlike the game you shared.

can someone tell that for we normal players is there any leagues to play ??

AlphaZero principles :-

1. It rarely captures; it only recaptures. (If you are the best chess player, you won't go for draws. Your pieces are more valuable than your enemy's pieces. So, AlphaZero rejects equal trades. This supports the general principle: the pieces which stay on the board longer are more valuable.)

2. All it's recaptures take place in the centre of the board. (If you are the best chess player and you want to reject equal trades, you will ensure that you control the centre of the board with your own pieces, rather than having your enemy's pieces control the centre of the board.)

3. Strength does not lie in the number of pieces. (It lies in having more active pieces than your opponent.)

What lessons can I draw from it?

1. The pieces which stay longer on the board are more valuable.
2. Fewer active pieces > A lot of inactive pieces.

Therefore, active pieces should stay longer on the board i.e. either trade your inactive pieces for your opponent's active pieces. Or make all your pieces active. (AlphaZero goes for the latter option.)

In one sentence :- "Make all your pieces as active as possible."

That’s one observation experts made about AlphaZero, the fact that it likes activity.

@defender_tents, in your sample game their are two trades initiated by White: 26.Rxc8 and 39.Qxb4. This game does not back up your conjecture.

@Sred It rarely captures; it only recaptures. It can capture; but it does so very rarely. (My conjecture is it rarely captures; not never captures.)

Your conjecture was "the basic principle is:-Move all pieces toward the centre. And from AlphaZero's chess games, I appear to see the modified principle:- Trade towards the centre.".

your sample game doesn't provide a sample. And moving your pieces towards the center is nothing new. Keeping the pieces on the board and keeping tension if you have the superior middlegame is also no new idea.

@Sred The only times it captured were times in which it achieved more activity of its pieces than the opponent. Let me explain: 26.Rxc8 and 39.Qxb4. 26. Rxc8 is immediately followed by Rc6, achieving greater activity of its rook. (This supports my basic principle.) 39. Qxb4 is followed by 42. Kxb3 achieving greater activity for its King. And you can see the King go to e7 on the later moves. (This supports my basic principle.)

"the basic principle is:-Move all pieces toward the centre. And from AlphaZero's chess games, I appear to see the modified principle:- Trade towards the centre.".----->All it's recaptures take place in the centre of the board. (If you are the best chess player and you want to reject equal trades, you will ensure that you control the centre of the board with your own pieces, rather than having your enemy's pieces control the centre of the board.)

The new idea of AlphaZero is:-2. Fewer active pieces > A lot of inactive pieces. ----> which was completely new to Stockfish.

@defender_tents, these ideas have been around for centuries (not the "trading towards the center" idea, because I don't think that makes sense).

@Sred Again I say:The new idea of AlphaZero is:-2. Fewer active pieces > A lot of inactive pieces. ----> which was completely new to Stockfish. And can you please explain why the trading towards the centre idea doesn't make sense to you. So I can explain it.

@Sred Please explain your problem in detail so that there is no confusion in the question.