Regarding Doubled Japanese sums: From above I understand that black cells (or parts in the diagram) split the diagram in separate parts with regards to clues and repeating digits. However, I think it should say "each digit appears at most once in each direction" not "exactly once". Or do I miss something due to limited grasp of the language?

(Sorry for posting the questions one by one. I immediately wrote a comment once I stumbled on the question.)

Sorry, but the Polyominos example still needs fixing.

Ah right, the 3 should become a 2. Will get this fixed. Thanks!

Polyominoes: The rules say "different shapes can't touch each other by a side", however, they don't say if SAME shapes can touch each other by a side. I'm assuming the intended rule is that no shapes touch on an edge, regardless of whether they are the same or different shapes.

Simple Kompass: The rules should probably make clear that every cell is part of a region, and every region has exactly one cell that is divided into triangles.

Adjacency Loop: Can the loop cross itself in shaded cells?

As a separate question: Does the solver have to indicate how the loop behaves in shaded cells to get full points?

Simple Kompass:
A little confused by the count of the bottom-left hexagon.
If this is based on Compass, shouldn't the "1" count be 3 or 4?
Which segment of the divided hexagon pie would the last two cells (of the long tail) count for?

Hidato:
Is it sufficient to draw a path instead of filling out every number?