Editing Nim (section)

== Winning positions ==
The practical strategy to win at the game of nim is for a player to get the other into one of the following positions, and every successive turn afterwards they should be able to make one of the smaller positions. Only the last move changes between misère and normal play.

{| class="wikitable"
|-
!2 heaps
!3 heaps
!4 heaps
|-
|1 1 *
|1 1 1 **
|1 1 1 1 *
|-
|2 2
|1 2 3
|1 1 n n
|-
|3 3
|1 4 5
|1 2 4 7
|-
|4 4
|1 6 7
|1 2 5 6
|-
|5 5
|1 8 9
|1 3 4 6
|-
|6 6 
|2 4 6
|1 3 5 7
|-
|7 7
|2 5 7
|2 3 4 5
|-
|8 8
|3 4 7
|2 3 6 7
|-
|9 9
|3 5 6
|2 3 8 9
|-
|n n
|4 8 12
|4 5 6 7
|-
|
|4 9 13
|4 5 8 9
|-
|
|5 8 13
|''n'' ''n'' ''m'' ''m''
|-
|
|5 9 12
|''n'' ''n'' ''n'' ''n''
|-
| colspan = "3" | * Only valid for normal play.<br/>** Only valid for misère.

|}

For the generalisations, ''n'' and ''m'' can be any value >&nbsp;0, and they may be the same.