Day 62: Some Fuseki things

I just want to start giving points to moves, so let's start seeing where are some fuseki points.

Let's imagine a 9x9 board:

9x9 board = 11*10+1=111 positions

01 02 03 04 05 06 07 08 09 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 00
01 02 03 04 05 06 07 08 09 10 11

Borders are at 1,2,3,4,5,6,7,8,9,10,11,21,31,41,51,61,71,81,91,101,102,103,104,105,106,107,108,109,110,111

For San-San

So, our "san san points" (3-3) are at 34, 38, 74 and 78.

The point is that I need a generic way to calculate san san. 

How do I know that ar 34 I have a san san? 

(Note: n in this context is the size of the board, in this case 9).

point-3 = border. 
point-3*(n+1)=border
For 38:

point+3=border
point-3*(n+1)=border 

For 74: 

point-3 = border.
point+3*(n+1)=border

For 78


point+3 = border.
point+3*(n+1)=border

This will search for borders at 3 spaces: 

• For 34 will search for 31 and 4
• For 38 will search for 41 and 8
• For 74 will search for 71 and 104
• For 78 will search for 81 and 108

I think This works for every board size.

For Hoshi in fuseki

What you red, change 3 with 4.