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Credits: https://www.reddit.com/r/DestinyTheGame/comments/9hl41l/infographic_wall_of_wishes_patterns_locations_and/

1 1 14 14 14
1 1   14 14
6 6   4 4
6 6 10 4 4
 
 

Wish №1
Grants ethereal key
Total shots required: 124
4   11   3
4   11   3
2   10   3
2   10   5
   
   
   
   

Wish №2
Spawns chest between 3rd and 4th encounters
Total shots required: 68
1   1   1
  5   5  
9   9   9
  13   13  
   
     
   
     

Wish №3
Awards ‘Numbers of Power’ emblem
Total shots required: 66
15 16 16 16 13
7 15 8 13 7
7 13   15 7
13 6 6 6 15
 

Wish №4
Warp to 2nd encounter (Shuro Chi)
Total shots required: 214
5 12 15 12 5
  9 16 9  
  9 15 9  
5 12 15 12 5
   
   

Wish №5
Warp to 3rd encounter (Morgeth)
Total shots required: 165
10 13 16 13 10
1 10   10 1
1       1
11 11 11 11 11
 
     

Wish №6
Warp to 4th encounter (Vault)
Total shots required: 141
16 4 12   6
9     7 15
9   14 7 15
16 4 12   6
 
   
 
 

Wish №7
Warp to final encounter (Riven)
Total shots required: 152
  12 14 11  
  12 14 11  
  12 16 11  
  12 14 11  
   
   
   
   

Wish №8
Plays song ‘Hope for the future’
Total shots required: 150
         
  2 2 2  
  2 2 14  
         
         
   
   
         

Wish №9
Adds Failsafe voicelines
Total shots required: 24
2 2     2
2 12 12   4
2   7 7 4
      4 4
   
 
 
     

Wish №10
Adds Drifter voicelines
Total shots required: 64
15 15   16 16
15   2 5 16
9   2   6
9 9   6 6
 
 
   
 

Wish №11
Birthday party effects
Total shots required: 147
1       9
1 1 9 9 9
4 4 12 15 15
4       15
     
     

Wish №12
Adds unique head effects to players
Total shots required: 108
13 2 14 15 8
13 2   15 8
8 15   2 13
8 15   2 13
 
 
 

Wish №13
Activates Petra’s Run mode
Total shots required: 166
5 10 14 9 5
    16    
1   6 8  
5 12     11
       
   
   

Wish №14
Spawns corrupted eggs in the raid
Total shots required: 102