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It appears the colour puzzle might have an issue.  Logically speaking it doesn't seem to work.  Walk through it: C= column R = row

1) All 6 colors are present - since there are only 5 columns that has to include both rows

2) 2 colors appear only once - partial issue with this one because of line 4 and line 12 - pink has to be an appear only once since it is in a corner on the bottom row. R2C1 or R2C5

3)  An orange square is above a green square - because of 7 and 12 that leaves R1C3 as the only option 

4)  pink only appears on the bottom row  - 12 causes it to be R2C1 or R2C5 and that means red is in the empty spot R2C1 or R2C5

5)  green diagonally connects to itself once - 7 and 12 cause the green under orange to be R2C3 so it has to connect to either R1C2 or             R1C4

6)  yellow doesn't appear in the 2nd column -  which leaves R2C4 and possibly R1C4, R1C1, R1C5

7)  blue and orange appear only in odd columns -  meaning no C2 or C4 which leaves R1C1 R1C3 R1C5 as options but 12 eliminates orange from C1 and C5 leaving it for blue. 

8) green and yellow appear in both rows -  so green and yellow both have to be on R1 and R2 - BUT #2 - pink is a single leaving blue, orange or red. #11 red is on both R1 and R2 - Here is a very real problem this leaves blue and orange one has to be eliminated BUT because of #12 and #3 there isn't a place they can go of R2.

9)  there is only one color connected to itself in a row -  meaning 1 color next to itself on a row, 11 eliminates it from being on R1 so it has to be on R2

10)   two connected columns are mirrored - zero idea what this means.  

11)  there are 5 colors in R1 - this means all colors except pink so red is in both R1 and R2 and is not part of 2

12)  red and pink are in the corners of the same row - meaning R2C1 and R2C5 are automatically occupied with either red or pink

Effectively there is a logic fault with #2, 3, 4, 7, and 12.  

Not solvable at this point in time.

I'd recommend just playing around with it in-game for a few minutes, as writing text invites confusion.

It's been solved a bunch of times already, and as I'm looking at the solution right now, no rules are broken.

I may be misunderstanding your post, but in an attempt to preserve spoilers I'll say your 2nd logic point seems inaccurate.

Yeah doesn't make sense.  Basically from the wording you have red, green, pink in the bottom row odd columns because: red and pink are in the corners of the same row, pink only appears on the bottom row, orange and blue have to be in the odd columns and you can't have orange on top of green except in an odd column. Basically the bottom row has to be r/p ? g ? r/p which then eliminates both blue and orange from being on the bottom row and pink can't be on the top row.  Which gives you 3 colors that are single.

The r/p/g/r/p is where I'm confused.

You say, "12 causes it to be R2C1 or R2C5 and that means red is in the empty spot R2C1 or R2C5"

So pick one of those corners for each color, then deal with ||| R2C2 or R2C4 <-- they don't need to be red or pink, necessarily.

Maybe the connected/mirrored column clue is causing confusion? Basically means two columns that are side by side (like 1 and 2 for example) are mirrored, so- if R1C1 was Orange, then R2C2 would be Orange, and if R1C2 was green, then R2C1 would be green.

o x
x o

Like that.

if R1C1 was Orange, then R2C2 would be Orange, and if R1C2 was green, then R2C1 would be green. You can't do that because orange and blue have to be in odd columns.

in R2C1 and R2C5 one is pink and the other is red. which is which corner is moot.

Right, I gave an example that was wrong in order to avoid spoilers, but the rules are still true.

R1C1 and R2C2 would be the same, just as R1C2 and R2C1 would be the same. <--- this is assuming the connected columns are 1 and 2, which I'm not saying is true because again, I'm not posting spoilers.

There's only one solution, so I'm surprised you're saying which corner pink and red belong in is moot. It's definitely not moot!

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Figured it out.  But the pink and red statement is a bit misleading and turned out to be the root of confusion.