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35

Took a bit of time to assemble a cube with that pattern, but it can be solved:

3

Based on the sides we can see, I believe this is the configuration of the cube The least amount of solves required is:

0

Consider a Single "guess row": It can have 5 Wrong entries - 1 Possibility It can have 4 Wrong entries - (5/1) x 2 Possibilities (the remaining 1 is either Correct or Partially Correct) It can have 3 wrong entries - (5x4/2x1) x 2x2 Possibilities (the remaining 2 are either Correct or Partially Correct) It can have 2 wrong entries - (5x4x3/3x2x1) x ...

-1

[EDITED to add:] No, this is wrong at present. For instance, my analysis assumes that you can have a row looking like GGGGY, which of course isn't possible because there's no other place for that last letter to go. That might possibly be the only way in which it goes wrong; I will think about that later, if someone else hasn't posted a more correct answer by ...

8

Completed grid Step by Step Solution Step 1 Step 2 Step 3 Step 4 Step 5 Step 6 Step 7 Step 8 Step 9 Step 10 Step 11 Step 12 Step 13

0

First of all, let's put this into mathematical language: We're looking at the action of the group $S_5$ on a set $X$ of 5 elements $A,B,C,D,E$. Specifically, we're interested in the subgroup $H\leq S_5$ generated by three 3-cycles $(A,B,D)$, $(A,C,D)$, $(B,D,E)$. I will prove exactly what subgroup $H$ is, and thereby answer the two questions you gave. Can ...

8

The words are created by So the three words are: Images:

0

From the description of the puzzle, the underlying physics is the optical effect called moiré. I surmise the transparent sheet has parallel strips of altered refractive index, with the same spacing as the dark lines on the cards or very nearly so. Moiré patterns appear wherever the printed lines are not perfectly straight. See WP for an explanation, and ...

2

Based on the new hint, one thing I notice is that

4

I think this is something to do with: The three images depicted here represent the words: The use of the word 'sunset' in the title suggests: Putting all of this together...

4

The only one of the four options that is consistent with the first three is: Because: There may be something I am missing though:

5

The answer is: The logic: Counting as stated:

6

If we Next, Part 2 Part 3

4

A word is in the set $\Pi$ if and only if Examples The image of Earth Hint 1 Hint 2 What do "homo", "cell", "mega" and "micro" have in common? The crown picture Astonishing coincidence

25

It looks to me like this puzzle is: Why? First note that: Next, there seems to be some sort of hint to the right of the vertical dividing line in the image... We can then...

5

Partial Progress I noticed the arrow sets looked like And converted them into letters which appear in the corresponding words: Their scrabble indices match the sum in the red rectangle: Anagramming the letters give the final answer:

3

Following on from Stiv's answer regarding the decoding of Q2. Therefore, the friend's are:

1

No shortcuts for this one :P

1

Not sure if this is intended, but this may be a trick!

3

Solution:

5

The two words you are looking for are: Because:

12

Puzzle Puzzle Puzzle Puzzle Puzzle Puzzle Puzzle Metapuzzle

6

What are we looking at here? Art? No! First: What next? Well note that: Finally:

3

I would color it like this

13

The beginning The first puzzles The third blanket Crosses This suggest the following rule: Irregular grids The flower/star/explosion/fireworks-symbol The last blanket The last puzzle Using the The puzzle is completed! Extraction So now we know the final solution! Some more notes on the final answer

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