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)

Thursday, October 2, 2014

three foot putt


Pretty basic situation toward the end of a round  -- I should be able to win this, but what attack minimizes the probability of something going wrong?

Random buttons!
Your turn to attack

q(20) q(20) (8/12) (6/12) (4)
Button: Sven
Player: ElihuRoot
W/L/T: 2/2/0 (3)  •  Score: 52 (+10 sides)
Dice captured: (30), (6/10=6)
q(20)
10
(8/12=8)
7
(4)
4
(6/12=6)
 6 
5
F(4/8=8)
2
(6)
5
s(8)
Dice captured: q(20), (6/12=6)
W/L/T: 2/2/0 (3)  •  Score: 37 (-10 sides)
Player: irilyth
Button: Jota
F(4/8) (6) (6/10) s(8) (30)


Friday, August 1, 2014

A simple maximum die skill puzzle

I don't have much experience with "Maximum" dice -- dice that always show their maximum value. I sort of think I don't like them very much. But I have to admit they make this decision a little more interesting. I think there's only one attack I can make with any hope of leading to a winning situation (and even that hope is slender)

Game #764  •  ElihuRoot (Jose) vs. glassonion (Randarch)  •  Round #1
Your turn to attack


M(3) M(4) M(6) M(8) M(T)
Button: Jose
Player: ElihuRoot
W/L/T: 0/0/0 (3)  •  Score: 20.5 (-2.7 sides)
Dice captured: (10), M(6)
M(3)
3
M(4)
4
M(T=2)
2
M(6)
 6 
6
M(6)
7
(10)
5
(X=5)
Dice captured: M(8), M(6)
W/L/T: 0/0/0 (3)  •  Score: 24.5 (+2.7 sides)
Player: glassonion
Button: Randarch
M(6) M(6) (10) (10) (X)

Friday, June 13, 2014

Buttonmen 101



This is pretty easy to calculate, but I thought it was interesting because my instinct was that it almost didn't matter which one I did, but when I stopped to think about it, I realized that one attack was clearly better than the other. (technically, there are three  attacks I could make, but one of them is absurd).

Game #441  •  ElihuRoot (Von Pinn) vs. Boot2daHead (Jorgi)  •  Round #5
Your turn to attack


(4) p(6,6) (10) (20) (W)
Button: Von Pinn
Player: ElihuRoot
W/L/T: 2/2/0 (3)  •  Score: 25 (-0.7 sides)
Dice captured: (20), (4), (8)
p(6,6)
5
(10)
9
(4)
 2 
1
(6)
6
p(X=6)
Dice captured: (20), (W=5), (4)
W/L/T: 2/2/0 (3)  •  Score: 26 (+0.7 sides)
Player: Boot2daHead
Button: Jorgi
(4) (6) (8) (20) p(X)