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These quaint looking coasters appear to have been thrown haphazardly on the table.

However, there is a 10-letter word to be found, which is the answer to this puzzle.

enter image description here


Other (independently solvable) puzzles of this type: 1, 2, 3, 5, 6, 7, 8, 9, 10.

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@MichałWójcik made good inroads into this puzzle, and his answer proved helpful for my own (go upvote him). The 10-letter answer to this puzzle is:

ANTIPODALS

Michał correctly identified 9 of the 10 flags; however, he needed to rotate the tenth one by 180 degrees to find the right country (had this been the only finding left to the puzzle I would have merely posted this as a comment on his answer; however, there is a little more afterwards...):

Counting the occurrences of each kaleidoscopic country flag in the diagram, we find:

6 flags of Urugu[A]y
1 flag of [N]ew Zealand
1 flag of [T]aiwan
2 flags of F[I]ji
1 flag of [P]eru
2 flags of S[O]uth Korea
6 flags of Cambo[D]ia
2 flags of P[A]raguay
3 flags of Ma[L]i (not Guinea)
1 flag of [S]pain
enter image description here
If (as Michał did) you then index the letters of each country name using the number of times its flag appears in the image, and order them as in the list above, this results in spelling out the word ANTIPODALS.

What does this mean?

Two places that are antipodal to each other are situated on exactly opposite locations of the globe - i.e. on the other side of the world. And this helps us notice something else special about this puzzle - namely, that the 10 countries used in the puzzle can be separated into 5 pairs of 'antipodals' (or 'antipodes'):

Cambodia & Peru
Fiji & Mali
New Zealand & Spain
Paraguay & Taiwan
South Korea & Uruguay

A useful website for checking these, and finding the antipodes of other locations is found at geodatos.net. You can also visualise this well using Google Earth (antipodal pairings in the same colours - note the almost mirror-image effect of the labels across the 2 images):

enter image description here
enter image description here

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  • $\begingroup$ Well done and nice explanation $\endgroup$ – sarsaparilla Mar 6 at 6:45
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Not sure, but the rule is probably:

Count the occurrences of flags of individual countries - n and then get n-th letter of the name:

6x Uruguay -> A
6x Cambodia -> D
3x Guinea -> I
2x Paraguay -> A
2x South Korea -> O
2x Fiji -> I
1x Spain -> S
1x New Zealand -> N
1x Peru -> P
1x Taiwan -> T

Letters:
ADIAOISNPT

I also noticed:

Shape of circles is a little bit like the shape of Asia and in this list of ten letters there actually are 'ASIA' letters. But I can't find the 10-letter word...

The last idea:

If instead of Taiwan there would be a country starting with "S" (Samoa is quite similar...), then the list of letter would be:

ADIAOISNPS

And their anagram:

ADIOS SPAIN

Which seems logical, because Spain is the only European country in this set.

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  • $\begingroup$ Uruguay and Paraguay and Peru and Guinea and Fiji are also non-Asian, for what it’s worth.... $\endgroup$ – El-Guest Mar 5 at 4:00
  • $\begingroup$ I know :) treat them as two separate (possible) solutions/ideas - then it has nothing to do with Asia $\endgroup$ – Michał Wójcik Mar 5 at 12:00

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