Heckmeck Analysis

Heckmeck (Dutch: Regenwormen) is a dice game by Reiner Knizia. On this page, I present some strategic hints for playing the game. To calculate the optimal strategy for a given situation, use this simulator (documentation forthcoming).


Everything you've always wanted to know about Heckmeck but were afraid to ask

What is the expected value for the number of worms in the first turn of the game?

1.6447.

How difficult is it to get exactly/at least stone X?

See the following table:

#   prec  minm
--------------
21: 44,0  89,3
22: 41,3  85,6
23: 41,6  80,1
24: 37,5  74,8
25: 33,6  68,0
26: 28,4  60,7
27: 24,8  52,5
28: 22,1  43,5
29: 17,7  34,6
30: 13,6  26,4
31:  9,8  19,4
32:  7,2  13,6 
33:  5,1   8,7
34:  3,1   5,3
35:  1,7   2,9
36:  0,9   1,6

E.g., the chance of making exactly 25 is 33,6%; the chance of making at least 25 is 68%.

From the initial situation, which are the best moves?

That is, when starting the game, which amounts of which dice are best to put aside? The complete ordering is as follows:

8w 7w 6w 5w 4w 45 55 3w 35 2w 44 65 54 25 34 24 64 23 14 13
1w 12 15 33 11 43 53 22 32 21 74 75 42 63 31 73 52 62 41
Note, in particular, the following sub-sequence:
2w 25 24 23                   22 21
            14 13 1w 12 15 11

That is, it is always better to put aside doubles of at least value 3; then a single 4, 3, worm, 2, 5, and 1.


Latest update: March 3, 2014 by Meilof Veeningen.