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Total Number of Possibilities for a Toribash Match
So, how many possible outcomes are there for a toribash match? well theoretically there is infinite because you COULD make the match last as long as you wanted unrealistically. First of all there are 20 joints, each having four states, there are also 2 hand which also each have 2 states
here are some numbers for common toribash games
TaekKyon 12 turns - 4915200000000 possible outcomes
Wushu 10 turns - 4096000000000 ^
Judo 15 turns - 6144000000000 ^

kinda shows you how awesome of a game this is, it never gets old!

*pretty sure i did my math right, please correct me if im wrong*
It's 4^21 possibilities per person per turn.
This is excluding changes resulting from setting variances.
[SIGPIC][/SIGPIC]

<Ownzilas> Alright
<Ownzilas> 3'2 then
<Ownzilas> Half PID's dick.

With ze mathz and ze lazorz und das Gehirn.
[SIGPIC][/SIGPIC]

<Ownzilas> Alright
<Ownzilas> 3'2 then
<Ownzilas> Half PID's dick.

Originally Posted by PlayerID666 View Post
It's 4^21 possibilities per person per turn.
This is excluding changes resulting from setting variances.

Where's the 21 coming from? Shouldn't that be 20?

What's funny is that I'd been sort of mulling this over recently, and while my initial thought that it would have been 4^20 (20 joints, four states per joint), I completely forgot about four possible combinations of hand states.

So in actuality, it should be 4*4^20, per character, per turn.
So, if a match has X number of turns, then the number of possibilities should be X(2(4*4^20))

Of course, since you can't change the state of a dismembered or fractured limb, that equation is a theoretical maximum, and the actual number depends on the outcome of each individual turn. If one player suffers two dismemberments on the first turn, then the number of combinations for the second turn becomes ( 4*4^18 ).
Last edited by Vlad; Jan 29, 2008 at 02:56 PM. Reason: Apparently I can't disable smileys...
Originally Posted by Vlad View Post
So in actuality, it should be 4*4^20, per character, per turn.
So, if a match has X number of turns, then the number of possibilities should be X(2(4*4^20))

...
And 4*4^20 = what smart guy?
[SIGPIC][/SIGPIC]

<Ownzilas> Alright
<Ownzilas> 3'2 then
<Ownzilas> Half PID's dick.

Taking 10th roots of things are we, toaster boy?
[SIGPIC][/SIGPIC]

<Ownzilas> Alright
<Ownzilas> 3'2 then
<Ownzilas> Half PID's dick.

There are 4398046511104 possible openers in Toribash, counting contract, extend, relax, force and also grab/ungrab hands.

Now, your opponent has just as many possibilities, meaning the total possible outcomes of just the combined openers are 19342813113834066795298816.

Then imagine a Taek Kyon match with 12 rounds. If I'm not mistaken, the total number of possibilities would be 19342813113834066795298816^12 =
*takes a deep breath*
274306203439684434162796181255926 and then another 270 digits after that!!

With this I think we could safely say that a Toribash match has infinite possibilites, as you would require every person on earth to unite and play Toribash constantly for atleast a million years for plowing through the possibilities.

And, yes, I'm bored.