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i_turo
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The only real other possibility iI can see is that the yellow dots could indeed describe both the tube and the amount of squares.

The only real other possibility i can see is that the yellow dots could indeed describe both the tube and the amount of squares.

The only real other possibility I can see is that the yellow dots could indeed describe both the tube and the amount of squares.

small addition to solution + added spoiler-tags
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i_turo
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This solution was figured out with the help of "Gary Ye's" essential observation!

The first question to ask is whether the order of the bottles is actually important. The answer is YES.

  1. Choose a label that has exactly 24 (the number of bottles and the number in the order) empty squares and put it on the grid, E4. There are now exactly 24 symbols visible. (There are multiple options for the first step, but only one allows successful continuation.)
  2. Choose the next label so that when it is put over the first one there are still exactly 23 symbols visible, A2.
  3. Repeat the same process for the remaining labels so that 22, 21, 20, 19, ..., 1 symbols are visible.
  4. This is the order of the bottles with the top one being the first. Note that the last visible symbol is A (or Alpha) whereas the 24th symbol is Omega. That might indicatebe an indication of the otherwise arbitrary seeming choice in step 1.

The first question to ask is whether the order of the bottles is actually important. The answer is YES.

  1. Choose a label that has exactly 24 (the number of bottles and the number in the order) empty squares and put it on the grid, E4. There are now exactly 24 symbols visible. (There are multiple options for the first step, but only one allows successful continuation.)
  2. Choose the next label so that when it is put over the first one there are still exactly 23 symbols visible, A2.
  3. Repeat the same process for the remaining labels so that 22, 21, 20, 19, ..., 1 symbols are visible.
  4. This is the order of the bottles with the top one being the first. Note that the last visible symbol is A (or Alpha) whereas the 24th symbol is Omega. That might indicate the otherwise arbitrary seeming choice in step 1.

This solution was figured out with the help of "Gary Ye's" essential observation!

The first question to ask is whether the order of the bottles is actually important. The answer is YES.

  1. Choose a label that has exactly 24 (the number of bottles and the number in the order) empty squares and put it on the grid, E4. There are now exactly 24 symbols visible. (There are multiple options for the first step, but only one allows successful continuation.)
  2. Choose the next label so that when it is put over the first one there are still exactly 23 symbols visible, A2.
  3. Repeat the same process for the remaining labels so that 22, 21, 20, 19, ..., 1 symbols are visible.
  4. This is the order of the bottles with the top one being the first. Note that the last visible symbol is A (or Alpha) whereas the 24th symbol is Omega. That might be an indication of the otherwise arbitrary seeming choice in step 1.

small addition to solution + added spoiler-tags
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i_turo
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2.1. Order of Bottles (verified)

For reconstructing the order of the bottles the symbols in the grid don't matter. (I think the are completely arbitrary all that much.) The procedure looks the following:

  1. Choose a label that has exactly 24 (the number of bottles and the number in the order) empty squares and put it on the grid, E4. There are now exactly 24 symbols visible. (There are multiple options for the first step, but only one allows successful continuation.)
  2. Choose the next label so that when it is put over the first one there are still exactly 23 symbols visible, A2.
  3. Repeat the same process for the remaining labels so that 22, 21, 20, 19, ..., 1 symbols are visible.
  4. This is the order of the bottles with the top one being the first.

  1. Choose a label that has exactly 24 (the number of bottles and the number in the order) empty squares and put it on the grid, E4. There are now exactly 24 symbols visible. (There are multiple options for the first step, but only one allows successful continuation.)
  2. Choose the next label so that when it is put over the first one there are still exactly 23 symbols visible, A2.
  3. Repeat the same process for the remaining labels so that 22, 21, 20, 19, ..., 1 symbols are visible.
  4. This is the order of the bottles with the top one being the first. Note that the last visible symbol is A (or Alpha) whereas the 24th symbol is Omega. That might indicate the otherwise arbitrary seeming choice in step 1.

 8 7  21 10  3  6  
 2 13 17 22 20 11  
 4 14  9 16  5 18  
23 15 19 12  1 24


 8 7  21 10  3  6
2 13 17 22 20 11
4 14 9 16 5 18
23 15 19 12 1 24

2.1. Order of Bottles

For reconstructing the order of the bottles the symbols in the grid don't matter. (I think the are completely arbitrary.) The procedure looks the following:

  1. Choose a label that has exactly 24 (the number of bottles and the number in the order) empty squares and put it on the grid, E4. There are now exactly 24 symbols visible. (There are multiple options for the first step, but only one allows successful continuation.)
  2. Choose the next label so that when it is put over the first one there are still exactly 23 symbols visible, A2.
  3. Repeat the same process for the remaining labels so that 22, 21, 20, 19, ..., 1 symbols are visible.
  4. This is the order of the bottles with the top one being the first.
 8 7  21 10  3  6  
 2 13 17 22 20 11  
 4 14  9 16  5 18  
23 15 19 12  1 24

2.1. Order of Bottles (verified)

For reconstructing the order of the bottles the symbols in the grid don't matter all that much. The procedure looks the following:

  1. Choose a label that has exactly 24 (the number of bottles and the number in the order) empty squares and put it on the grid, E4. There are now exactly 24 symbols visible. (There are multiple options for the first step, but only one allows successful continuation.)
  2. Choose the next label so that when it is put over the first one there are still exactly 23 symbols visible, A2.
  3. Repeat the same process for the remaining labels so that 22, 21, 20, 19, ..., 1 symbols are visible.
  4. This is the order of the bottles with the top one being the first. Note that the last visible symbol is A (or Alpha) whereas the 24th symbol is Omega. That might indicate the otherwise arbitrary seeming choice in step 1.


 8 7  21 10  3  6
2 13 17 22 20 11
4 14 9 16 5 18
23 15 19 12 1 24

complete rewrite with new solutions and ideas
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i_turo
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BmyGuest
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BmyGuest
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i_turo
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