Educational Cards

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How many squares a piece controls

Each piece controls a different number of squares, and the number depends on where it stands. A...

Intermediate Mathematics
1
Five queens dominate the board

What is the fewest queens that together attack or occupy every square? That minimum is the queen...

Advanced Mathematics
Nim and the nim-sum

Nim has several rows of counters. Each turn a player removes any number of counters from a single...

Advanced Mathematics
Northcott's game is Nim in disguise

Northcott's game puts a black and a white piece on each row of a board; on your turn you slide your...

Advanced Mathematics
Sliding rooks and representation

Rooks slide under fixed rules and the last legal move wins. The path to a strategy is to find a...

Advanced Mathematics
Bishop routes on the diagonals

A bishop moves on diagonals, so rotate your view: turn the board 45 degrees and the diagonals...

Intermediate Mathematics
Die Farbe eines Feldes aus den Koordinaten

Jedes Feld ist hell oder dunkel, und man kann es ohne Brett bestimmen. Nummeriere die Linien von 1...

Beginner Mathematics
1
Rundwege auf verstümmelten Brettern

Entfernt man Felder vom Brett, kann Parität vor dem Suchen über einen Turm-Rundweg entscheiden. Ein...

Intermediate Mathematics
Race to the corner with a rook

A rook moves only south or west, heading for a1, and whoever lands on a1 wins. Unlike Wythoff's...

Intermediate Mathematics
Tours on a mutilated board

On a board with some squares removed, decide whether a rook can tour all remaining squares with...

Intermediate Mathematics
Das Spiel mit der goldenen Münze

Beim Spiel mit der goldenen Münze wird eine Münze unter Zugregeln auf ein Ziel geschoben. Die...

Intermediate Mathematics
Northcotts Spiel als verstecktes Nim

Bei Northcotts Spiel stehen in jeder Reihe zwei gegnerische Steine, die entlang ihrer Reihe ziehen,...

Advanced Mathematics