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If a Tiny creature (like a Pixie) shares a square with a Medium creature (say human), are they considered adjacent to each other?

Adjacent Squares: Two squares are adjacent if a side or a corner of one touches a side or a corner of the other. Two creatures or objects are adjacent if one of them occupies a square adjacent to a square occupied by the other.

I can see a topological argument that by its very nature the corners and sides of a square are touching other corners and sides of the same square. Is this a case of nitpicking the RAW to pieces? What are the ramifications?

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Yes. they are adjacent.

From the pixie entry:

"Two creatures are considered adjacent if they are in the same square" (Heroes of the Feywild p28)

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