Tuesday, August 18, 2015

choosing reserve dice

In a 3-round game of Sadakuro  [f(4) f(6) f(8) f(10) (12)] vs Sapphire [(6) (10) (12) (12) r(8) r(8) r(10) r(12)], Sadakuro is almost certain to win the first round and has an excellent chance of winning the second round, regardless of the reserve die Sapphire chooses. So, as is so often the case in non-reserve vs. reserve-die games, Sapphire finds himself having to win 3 in a row. Even with the 5-against-6 dice matchup at the end, Sadakuro can be pretty sure of getting the initiative.  Bearing all that in mind, which reserve dice should Sapphire choose to have the best chance? or does it not matter much?

I have an opinion, but I am not completely sure I'm right. I'll wait to hear other comments, if any, before posting it.

Tuesday, July 14, 2015

submitted puzzle by Jim M.


Which die should you capture first to maximize your chance of winnng?


Submitted Buttonmen puzzle from Jim M.

Wednesday, June 10, 2015


I haven't thought long enough about this to have a strong opinion, but it looked like it might be subtle to compute -- prove me wrong!

Why shouldn't D. trip the shadow die? why shouldn't D trip the poison die?  which is more dangerous?


Game #1405  •  ElihuRoot (Mushu) vs. Devious (slamkrypare)  •  Round #3
slamkrypare practice!
Opponent's turn to attack


m(U) sH(U) po(R) k(10)
Button: Mushu
Player: ElihuRoot
W/L/T: 2/0/0 (3)  •  Score: 10 (-12 sides)
Dice captured: z(12), (10)
sH(U=8)
5
po(R=16)
6
1
t(1)
2
(10)
1
(Y=1)
 6 
(10)
Dice captured: k(10), m(12)
W/L/T: 0/2/0 (3)  •  Score: 28 (+12 sides)
Player: Devious
Button: slamkrypare
t(1) (10) (10) z(12) (Y)

Sunday, April 12, 2015

I hate decisions like these.

Well, no, I actually kind of like them, but I hate working out the math.

  • option 1: take the c(X=15) now before it rolls out of reach; it's the only single die g. can retain and win. I'll still need to capture either the 10-sided die or both of the 6-sided dice, but that's relatively doable.
  • option 2: take the 6-sided die with value 1 now. My 12-sided die will stay safe another turn and I need only capture the 15-sided die and either one of the other two.


I know what I did, and I know, in principle, how to work out the math if I stopped to think. But who wants to do that?


(4) g(4) g(6) (12) (X)
Button: Cass
Player: ElihuRoot
W/L/T: 1/1/0 (3)  •  Score: 22 (-4.3 sides)
Dice captured: (12)
(4)
1
(12)
7
(X=4)
2
1
(6)
6
c(6)
6
(10)
5
c(X=15)

Dice captured: g(4), g(6)
W/L/T: 1/1/0 (3)  •  Score: 28.5 (+4.3 sides)
Player: glassonion
Button: Pikathulhu
(6) c(6) (10) (12) c(X)


Monday, January 19, 2015

Queen's Gambit

I'm almost certainly dead here. Do I have any chance at all? I think there are only two moves that
keep any mathematical chance of me winning alive.

Game #2400  •  ElihuRoot (Nimue) vs. eksortso (Guenever)  •  Round #3
Random Buttonlords (really) (with a reverse)
Your turn to attack


(4) (6) s(12) (20) (X)
Button: Nimue
Player: ElihuRoot
W/L/T: 1/1/0 (3)  •  Score: 23 (-18.3 sides)
Dice captured: (12)
(4)
4
(6)
5
s(12)
11
(X=12)
 10 
1
(6)
5
s(8)
9
(10)
5
(X=13)
Dice captured: (20), (X=12)
W/L/T: 1/1/0 (3)  •  Score: 50.5 (+18.3 sides)
Player: eksortso
Button: Guenever
(6) s(8) (10) (12) (X)
Do I take the 10-sided die with my d8? or with my d4  &  s4? or just with the s4? That last one seems majorized by using both the d4 and s4, so we can ignore it -- and PROBABLY, it makes more sense to reroll my d8 in the 50-50 chance of rolling out of range of tavella's remaining dice.

But another option would be to take t.'s d6 with my s4, keeping my 8-sided die safe for another turn with at least a 70% chane of being able to take the d10 on the next turn, guaranteeing at least a tie.



Game #2633  •  ElihuRoot (Tiffany) vs. tavella (Cesare)  •  Round #5
Your turn to attack


(4) s(8) (8) (10) s(X)
Button: Tiffany
Player: ElihuRoot
W/L/T: 2/2/0 (3)  •  Score: 28 (0 sides)
Dice captured: (10/20=10), (10)
(4)
1
(8)
6
s(X=4)
3
s(8)
 2 
3
(4/10=4)
3
(6/10=6)
4
(10/12=10)
Dice captured: (10), s(8)
W/L/T: 2/2/0 (3)  •  Score: 28 (0 sides)
Player: tavella
Button: Cesare
(10) (4/10) (6/10) (10/12) (10/20)

Chat:

Die skills in this game: Shadowi

Sunday, January 18, 2015

What are sansibaman's chances of pulling this off?

What's the best move?

There are only three possible attacks, so this isn't too hard to figure out by brute force -- but can you see it quickly?

ElihuRoot performed Power attack using [(X=4):4] against [(12):3]; Defender (12) was captured; Attacker (X=4) rerolled 4 => 1.
Game #3311  •  ElihuRoot (Buddy) vs. sansibaman (Kith)  •  Round #5
Opponent's turn to attack

s(6) (10) s(20) (20) (X)
Button: Buddy
Player: ElihuRoot
W/L/T: 2/2/0 (3)  •  Score: 53 (+9.3 sides)
Dice captured: (X=18), (8), (12)
s(6)
4
s(20)
18
(X=4)
1
1
(6)
12
(12)
 3 
(12)
Dice captured: (10), (20)
W/L/T: 2/2/0 (3)  •  Score: 39 (-9.3 sides)
Player: sansibaman
Button: Kith
(6) (8) (12) (12) (X)