PlatinumDragon / Boards that have tengen as best starting move

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PlatinumDragon:I have studied GO ratios and found a ratio that defines the lines of territory. This line divide the boards as so:

When you count this line and everything outward, you will cover over half the board.
When you count this line and everything inward, you will also cover over half the board.

This is what I call territory line. It is different then the standard territory lines that other players are used to. The influence line is define as territory line + 1. Why is this line so special? This line is special because the player who wins control of this line takes over half of the board either on the inside or on the outside. Usually, the player wants to take the outside because of its higher value and easier defense. By taking the silver instead of the grass, the player takes a dominating position.

5x5 Board.

Play tengen gives opponent five choices (1,1), (2,1), (2,2), (3,1) and (3,2).
All five choices cannot lead to life.
Tengen dominates the entire board.
For Fuseki (game), probably:

Strategy Can be used, but cannot develop.
Full Tactics development.

Square are influence. No space for territory, White cannot live.

7x7 Board.

Tengen (4,4) influence nearly all of the board.
Three stones can influence the entire board.
For Fuseki (game), strategy probably begins to develop here.

There is enough space for territory in corner. White can live in corner.

9x9 Board.

Tengen is 1 step jump from third line.
The board is like 5 5x5 boards.
Board is like having two halves.
Four stones can influence the entire board.
No Strategy, for pure tactics development.
Added as a standard board size because of its no strategy element.
For Fuseki (game), probably no operations; for pure strategy development.

Notice that the 9x9 board is like 5 5x5 boards.

11x11 Board.

Influence from tengen is to 4th line.
Needs 3rd line stones to help, but 2 stone jump is weak.
Corners begin differentiate.

at 3-3 may not be a good move, but it can totally take away the corner.

13x13 Board.

Strategy Can be used, but cannot develop.
Full Tactics development.
For Fuseki (game), probably:

Operations Can be used, but cannot develop.
Full strategy development.

Corners differentiate completely.
Tengen is weak, corner star points are stronger.
Eight stones can influence the entire board.
Like 5 7x7 boards overlapping.

Notice That the 13x13 board is like 5 7x7 boards.

15x15 Board.

Tenuki up to the first 10 stones.
Strategy begins to develop here.
For Fuseki (game), operations probably begin to develop here.
Corners and Sides begin to differentiate.
Star points emphasis more.

17x17 Board.

Tenuki the first 10 to 20 stones.
More Strategy development.
Corners and Sides are still crowded.
Corner star points are near perfect choice.

19x19 Board.

Tenuki the first 20 to 30 stones.
Operations can be used, but cannot develop.
Full Strategy development.
Complete Corners and Sides differentiation.
Corner starpoints are near perfect choice.
Like 9 7x7 boards with overlapping edges.

Notice that the 19x19 board is like 9 7x7 boards.

21x21 Board.

Operations begin to develop here.
Tenuki the first 30 to 40 stones.
The 4th line is territory not the third line.
The 5th line is influence not the fourth line.

23x23 Board.

Tenuki the first 40 to 50 stones.
The 4th line is territory not the third line.
The 5th line is influence not the fourth line.

25x25 Board.

Tenuki the first 50 to 60 stones.
The 4th line is territory not the third line.
The 5th line is influence not the fourth line.

27x27 Board.

Tenuki the first 60 to 70 stones.
The 4th line is territory not the third line.
The 5th line is influence not the fourth line.

The trend here is to tenuki 10 more stones for every size up.

Board Ranges.

First Line Territory: 1 to 6.
Second Line Territory: 7 to 13.
Third Line Territory: 14 to 20.
Fourth Line Territory: 21 to 27.
Fifth Line Territory: 28 to 34.
Sixth Line Territory: 35 to 41.
Seventh Line Territory: 42 to 48.
Eighth Line Territory: 49 to 55.
Ninth Line Territory: 56 to 62.

The First Line Territory are too small, and the game is about influence. The Second Line Territory is not really a valid territory line, as the second line is difficult. This is more about tactics with equal territory and influence. The higher ups are more toward territory development first but by using tenuki moves to get sente in most subareas.

Most standard Board Sizes are at the top of each "Line Territory".

5x5 or 6x6 for first. This is for capture go and probably Fuseki (game) tactics.

13x13 for second. This is for tactics and probably Fuseki (game) strategy.

19x19 or 20x20 for third. This is for strategy. Any size this or beyond is probably for Fuseki (game) operations.

27x27 for fourth and beyond. These are for operations.

Because 13x13 is large enough for strategy to occur, 9x9 is added. 9x9 is small enough that strategic moves cannot be played.

2009-08-01: The line of territory is calculated by a formula that takes the size of the board and find the line that takes have the board. With the 19x19 board, 2.78 covers half the board so the territory line becomes 3. This formula calculates the line so you don't have to count the points from the edge of the board until you reach half of the board. I call this line the territory line because you can cover more than half the board weather you take the inside or the outside from this line. The next line is called the line of influence, and these two lines are where most of the battles are initiated.

Here's my analogy: First, you know how to count, so you speculate addition. Second, you know how to add, so you speculate multiplication. Third, you know how to multiply, so you speculate exponentiation. Fourth, etc.

So in the same sense, there is skirmish, tactics, strategy, etc.

PlatinumDragon / Boards that have tengen as best starting move last edited by 24.89.29.52 on November 25, 2021 - 23:49

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