What is the piece? What is the square?

I'm going with white knight on e5.

Is this a Swiss-system Tournament?

Black knight on d5.

A Nightrider on any square of an infinite board.

White pawn on e5. But why??

Just a quick board visualization exercise. It's also interesting to see what comes to mind first. That says something about how the mind works with the pieces and the squares of the chess board.

What I meant is I don't know why I thought of white playing e4-e5! Is it like people choosing the 7 of diamonds? 

Queen on c2

knight on f5. my favorite.

King on c1.

Normal board, with extra the square i9. Black king on i9, white bishop on a1. 

:~)

King on e2

White queen on f7 :)

White Rook on a 7 - big trouble for Black.

A bishop on g2.

white pawn on f1

rook on a1

Black King on e1