# Relevant first moves

I calculated that we have have 53 relevant first moves Is that right?

I turned out the symetry
So (381-9x4-1):8+9+1=53
Board without diagonals dividet by 8+Long diagonals divided by eight+Tengen

With relevant i mean moves with the same postion if you move the board. Not only good ones

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The number of different first moves is 55:

Two different ways to calculate it without resorting to numbering like I did above:

### Method 1

There are 361 intersections total.
1 of them (tengen) is unique
4x9 + 4x9 = 72 of them (the moves along midlines and diagonals) come in groups of 4
the other 361 - 1 - 72 = 288 come in groups of 8

So we have 1 + 72/4 + 288/8 = 55 unique moves.

### Method 2

If we know that they come in a triangle shape, we can also calculate like this:
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = (1+10) + (2+9) + (3+8) + (4+7) + (5+6) = 5 x 11 = 55

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:Forgot the midle lines am i silly ^^
Thanks

Wanted tom explain to a chess coleauge why go is more complex than chess

Chess is more complex than go bc go does not support horses

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And there is even a large knights’ move: ogeima.

Sill think go is better than … 3 Likes

Or the extra large knight’s move, with the fun name of daidaigeima.

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How do you measure complexity?

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Game tree complexity (of which initial number of moves is an input) and state space complexity are pretty standard, and go is indeed bigger than chess. But increased complexity doesn’t necessarily make a better game. Here’s a game with infinite complexity that’s really boring.

Player A thinks of any number.
Player B guesses what it was. If they are right they win this round, else they lose.

Swap roles and repeat an even number of times, tallying score.

(I brush over the difficulty of a human brain thinking of arbitrary transcendental numbers)

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I guess we have haengma too!

That other corner influence one corner for example…
Or the difficutie reading who has the better postion.
And laslty how mutch longer it needed until a computer defeaded a strong player