Life In 19x19

The question is really asking whether you'll end up with an odd or even number of people at the end, since 2 == 0 for the purposes of this question. If the selection process is random, you can do all sorts of calculation to determine exactly how many people will be killed on average given a number ...

attempt at more rigorous computation.

lets assume that we throw a weighted coin wich falls on tail with proba p, on head with proba q=p*r, and on the edge with proba
1-p-q
We will throw the coin until it falls on either head or tail.

what is the proba that it ends up on head ?

lets compute the ...

This does not really answer the OP question: the crazy duellist repeat the process until 1 or 0 are left!


each time, they have a proba of (1/e)^n of all dying, very small

but the proba of 1 survivor is n* (1/e)^(n-1) (1-1/e)

so P(1 left after this round)/P(0 left after this round ) is of order n ...

i am not sure i agree with DrStraw on the lack of merit of the proof the 4 color theorem http://www.lifein19x19.com/forum/viewtopic.php?p=191175#p191175 , but for this problem I have to ask: what is the point ?

It is one more solution in probably quite a lot, it does not seem that ...

for game 2:

notice how black has 2 big territories : up right and bottom + left.

How do they came to be ?
i like to ask myself those questions when i auto analyse my games.

for the bottom:
lets have a look around move B have position on the right and left, normal as he received handicap.

The ...

All very nice, Perceval, but it sounds a bit like using a slegehammer to crack a peanut. Good mathematics is simple and elegant. This sounds complex and inelegant as compared to the polar coordinates solution.

Agreed, the short proof is the way to go.

The other part is an algorithm, its always ...

Funny how the discussion went in places i did not think about.
My question was, indeed, about integer coordinates, I just put in on a goban because its the thing to do here to interest peoples.
my proof was close the one in the link by RBerenguel, ie using only pythagore theorem and arriving to ...

I couldnt sleep last night, and a question poped into my head:

Can you place 3 stones on a goban ( on goban intersections of course) so that the resulting triangle is equilateral ? (Lets assume the goban is infinite); Either give an example or a proof its impossible

When a question like that ...

Thank you both!

I am trying to force myself to take fights when they seem at least even, to fight my natural go cowardice, but i was worried that my radar was a bit off and i didnt realize the fight was in fact not good, around move 20 but if i understand correctly, my play around moves 20-28 was ...

hello; i feel like i suck again (i mean, more than usual)...
i would appreciate some comments on that game please. i tried to comment a bit myself

Thanks for any advices, in particular i wonder if move 66 was ok (i think not)? and who was ahead at that time (i think close to even)

(;GM[1]FF[4 ...

"fought his madness" sounds a bit over dramatic, trying to bring back memories of "a beautiful mind".

He ended super weird but wasnt that crasy at the time, just a bit on the egomaniac side

Maybe its interesting to know the moves that seem like mistakes to someone your own level; so i ll just mention what jumped to my eyes; already mentionned before

needs to be at H2 to connect the weak group. Just avoiding weak groups and hunting the ones form my opponents i how i win most of my ...

Two player limit Texas hold'em poker "solved"


PS>
On a tangent - I remember when i was little, I read an article somewhere describing how to create a self-learning "computer" to play a very simple game, something similar to tic-tac-toe. The "computer consisted of a number of match boxes. Each ...

slightly off topic but i love this little game around google street view/goolge maps:

https://geoguessr.com/world/play


to me, australia ressemble south africa, but they are so far appart it hurts.
Same for east and west russia

$$Wc top right is W corner
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . O . O ...