How are the chess pieces called in German?

Chess is a popular sport in the German Culture and is played in all cultures across the world. Knowing what the chess pieces are called in German could allow you to analyze a game in another language (German).

The King in Chess is called “König” in chess in German.
The Queen is called “Dame” in chess in German.
The Bishop is called “Läufer” in chess in German.
The Knight is called “Pferd” in chess in German.
The Rook is called “Turm” in chess in German.
The Pawn is called “Bauer” in chess in German.