10
In column 3, row 1
The rest of the puzzle can be solved via normal sudoku rules
8
I think the answer is (each color marked as x/y/z, where X/Y/Z marks the top left cell of each piece so that you can follow the warps from there)
8
COMPLETED GRID
REASONING
After the initial obvious deductions:
To the left:
Middle right:
In the middle:
Finishing up:
7
It can be solved as follows
With
6
Solution:
Here’s how to solve:
1:
2:
3:
4:
From here, the solution can be found by working downwards! Nice puzzle!
6
Solved sudoku (nothing fancy, just plain logical deduction):
$$
\begin{array}{c|ccc|ccc|ccc|}
& C1 & C2 & C3 \ & C4 & C5 & C6 \ & C7 & C8 & C9 \\ \hline
R1 & 3 & 6 & 2 \ & 8 & 5 & 7 \ & 1 & 9 & 4 \\
R2 & 5 & 1 & 7 \ & 2 & 9 & 4 \ & 6 & ...
5
Completed Word Grid
Definitions of the wild words, for the curious
Completed Score Grid
Process
I really wanted to try and solve this as manually as I could, but seeing how many possibilities there were after my first attempt (2997 for one row!), I soon realized this was almost impossible, so I fully automated (brute-forced) this solution.
Dictionary ...
4
First, the basic deductions from extending regions:
Next, look at some sum cages.
Next, the upper left:
...And from here, I believe there are multiple solutions.
Unless I've made a mistake (which very well could be the case), this demonstrates at least two solutions to the puzzle. (I've highlighted 1s, 2s, and 3s for easier checking.)
4
Statue Park clues all give the same amount of information: there is a tile here/there is not a tile here.
But depending on their location, you can get a different amount of information! To demonstrate this, consider this puzzle (where the piece bank is the pentominoes). Say I've already determined the two shapes I've shaded in.
If I want to place a clue at ...
4
First Solution
We can try the following
Step 1
Step 2
Step 3
Second Solution
I have also noticed that
Step 1
Step 2
Step 3
Hence, we have two valid and different solutions motivated by different aspects of the letters.
2
First note:
To make progress, look at:
1
Here is the official solution from my puzzle book.
Sorry for the confusion. Because there is only one solution printed I thought the solution is unique. Now I saw that this was missleading.
And I can't see any further restrictions in the solution.
@all Thanks for your help :)
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