tic tac toe

[1051109210]

im been googling around on how to programme the ai part for this game and alot mentioned about rotating the board... how do i rotate this board.
thnks

[Dormilich]

you mean like rotating 90/180/270 degrees?
180° invert the col and row numbers
90°/270° switch col/row numbers and invert col numbers

[1051109210]

oh yea switchin the values....meani n?


0 1 2
a
b
c

a b c
0
1
2
then ? if rotate again 012 will be at bottom same as beginin

[Dormilich]

let's assume your IDs are like in the thread: b00, b01, b02, b10, ...

00 01 02           20 10 00
10 11 12  becomes  21 11 01
20 21 22           22 12 02

[1051109210]

so after tht the other two will be

20 21 22
10 11 12
00 01 02



00 10 20
01 11 21
02 12 22

right?

[Dormilich]

very close, but both can not be reached by rotation alone.

[1051109210]

huh wht do you mean?

[Dormilich]

make a sheet of paper, write down the IDs and turn it by 90°. you'll see, how the numbers will change places correctly.

background: symmetry operations
a plain square belongs to the Point Group D(4h) (which essentially tells you, what symmetry operations are possible). from that you can conclude, that there are 8 possibilities to switch the fields without losing the relative positioning (in the end you have a 4fold axis (rotation by 90°) making 4 positionings and the mirror images of these making a total of 8)

[1051109210]

hmhm i think i got it....will think abt it tmr (kinda late from where i'm at)
thanks alot! and for bein patience with my ques !! :D