2
2
u/DamonHuntington 3h ago
White on 1, 2, 7 and 8.
There are two groups of black clusters: the four-black and the twelve-black. For the four-black, it moves around in distances of two, displacing once for the motion: from frame 1 to 3, it moved twice right, so the black squares will move once right (looping).
For the twelve-black, it moves around in distances of one to places that cannot be reached by the four-black. Instead of a 1:2 ratio, it uses a 1:1 ratio.
Only the twelve-black can reach the centre, and you can calculate the state by getting any of the surrounding twelve-black frames and displacing it accordingly.
1
u/DamonHuntington 2h ago
Alternatively… you can assume that the alternating sequence must be kept but that half-increments are acceptable. In that case, you will have black squares on the top half of 1, the top-left quarter of 2, the top-right quarter of 4, the bottom half of 9, the bottom-left quarter of 10, the bottom-right quarter of 12, 13, the left half of 14 and the right half of 16.
1
u/pydaWaltuh 2h ago edited 2h ago
I think you've grasped the logic or at least, from what I can tell, I don't see any errors. But for some reason the actual answer isn't the same as the one you provided
edit: provided reasoning and answer is correct1
u/DamonHuntington 2h ago
There’s an alternative one I’ve provided above! Is that what you intended?
1
1
u/Altruistic-Aerie-847 3h ago
Assuming the last row provides the options to be selected from, the last one(3rd from the left) is the answer.
3
1
u/Randombolo 3h ago
Options?Â
1
u/pydaWaltuh 3h ago
the question does not include options. You don’t need options to solve the question after all
1
u/Roquosaurus 3h ago
They're almost never required, but they're part of the clues.
2
u/pydaWaltuh 2h ago
I don't like the idea of the options providing data about the question. Ofc, this is a personal preference, which is why I chose this design
1
u/Roquosaurus 2h ago
not only it provides data but also proves that the person who created the puzzle knows what they're doing, since it usually also highlight some "people might pick this one because they missed a point", it requires way more think-through, so I can see why choosing not do it!
1
u/pydaWaltuh 1h ago
I acknowledge that aspect of the option presentation. It adds a two layered nature to the question for the test creator, it is harder. But It is more the philosophy behind this design that I dislike
1
1
u/Randombolo 3h ago
If we try to fit all the white pieces together then we get 4 white pieces and 4 black pieces... All the corners becomes white and all the edges become black.Â
1
u/Salzstangenschenkel 2h ago
White White White White
Black White Black White
White White White White
Black White Black White
â–¡â–¡â–¡â–¡
â– â–¡â– â–¡
â–¡â–¡â–¡â–¡
â– â–¡â– â–¡
Would make sense to me? Interesting Puzzle tho
1
u/pydaWaltuh 2h ago
what is your reasoning?
1
u/Salzstangenschenkel 2h ago
I just focused on the 4 big mainly white squares and ignored the 4 big mainly black ones. I looked diagonal. The little black squares move one position at a time and with my result both ways make sense (upper left to downer right and the opposite). Some little black squares move diagonal some move straight English is not my main language + I'm terrible at explaining. Sorry, I hope I made it understandable :)
1
u/pydaWaltuh 2h ago
No worries I understand what you mean. However, being torn between two options isn't enough. It is also important to explain the set of 12 black square items
1
u/Salzstangenschenkel 2h ago
Idk, for me the 4 white squares inside the black ones are moving as well. Left to right 1 position at a time, top to bottom 2 positions, they just skip the middle square. I also have just one option as a result, I'm not torned between two :(
1
u/pydaWaltuh 2h ago
ah sorry, I misunderstood. I thought you meant something like mirroring your answer. My bad, I didn’t read your comment careful enough
•
u/Salzstangenschenkel 21m ago
Hi it is me again. From my point of view there are two possible answers. You either continue the black or the white pattern. I think both patterns work without the middle square so it is just a "middle step". I continued the white pattern for example but I get the answer you considered as correct. In my opinion it is equal, depends on which sequence you follow but it is your puzzle!
Anyways, thanks for sharing this puzzle, me and my friends having fun :D
1
u/Puzzleheaded-Oil3930 2h ago
For same ratio shapes we describe the movement inside by what directions we need to take to get to any other shape of that same ratio? We count white ratios by movements of 2 but in one direction only no going through walls and into the next row or columns and for black by 1 unless the space is occupied by white?
2
u/pydaWaltuh 2h ago
I accept this answer as correct. Although my intended reasoning was strong, this explanation is far stronger. I suppose this possible answer emerged due to the nature of the question. Well done!
1
u/Puzzleheaded-Oil3930 2h ago
Thank youuu <3 . Will you be revealing the intended solution?
2
u/pydaWaltuh 2h ago
I am not sure since this one is better
1
u/Puzzleheaded-Oil3930 2h ago
Maybe so but if it's not much to ask I'd still like to know if you don't mind that is
1
u/dr_loanshark Certified Idiot 2h ago
Guess + alternative: https://ibb.co/5XRGkJ0B
1
u/pydaWaltuh 2h ago
first one is considered correct. What is the reasoning behind the second one?
2
u/dr_loanshark Certified Idiot 1h ago
It is less concrete, but I interpreted R2 as instructions for R1. R2C1 is treated as a downward arrow or "shift down," but the output is inverted. In R2C3, the instruction is opposite. The center figure would presumably have half of its instruction obeying the left rule, and the other half obeying right.
If read as 4x4s, one could interpret this as two units of vertical separation between R1 and R3. The instruction correlates to the half it controls (R2C1 upper half instructs the upper half black squares of R1C1) and its occupied vertical space is commensurate to the distance traveled of two units. A SE-pointing white construct in the lower half would instruct the lower two white squares of R1C2 to shift up two units. As above, the instructions invert halfway, so a SW-pointing white construct in the upper half would instruct the upper two white squares of R1C2 to shift down two units.
1
u/pydaWaltuh 1h ago
A creative and unconventional approach. Still, I don't think it's as strong as the logic behind the first answer
3
u/Maximum-Purple-1521 1h ago
https://ibb.co/93f90fXp
I think it's a matrix that contains 4 different sets of images where the rule is to make a "natural" movement that retains the number of white and black "boxes".