The Snake
The piece chess never got
Chess gives you two kinds of movement. The rook, bishop and queen slide in straight lines. The knight jumps in an L, and that is as strange as chess ever gets.
The Snake is stranger.
It does not slide and it does not jump. It winds. It travels outward along eight curving paths, each one bending as it goes, ending in squares that no rook, no bishop and no queen can ever reach. It can strike at the end of its journey or partway along it. It can slip past a piece that would stop anything else dead.
So here is the question every chess player asks within about ten minutes of meeting it: does this piece sit between the rook and the queen? Or is it something chess simply has no answer for?
You will have an opinion. Most people change it twice.