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Five queens dominate the board
What is the fewest queens that together attack or occupy every square? That minimum is the queen...
Kürzester Turm-Rundweg
Ein Rundweg besucht jedes Feld einmal und kehrt zum Start zurück. Umrunde ein kleines Brett mit...
Sliding rooks and representation
Rooks slide under fixed rules and the last legal move wins. The path to a strategy is to find a...
Keine drei Steine auf einer Linie
Drei Punkte liegen auf einer Geraden, wenn die Steigung zwischen dem ersten und zweiten der...
Wythoff's queen race
A queen sits away from the corner and may move only west, south, or south-west, always toward a1....
Four rooks cover the board
A rook attacks every square along its rank and file: 14 squares from any board square. Colours...
What linear programming optimizes
Linear programming is a field that invents clever algorithms for optimization. Whenever flight...
Iterating to the optimum, and a three-variable run
After one pivot you repeat the same three steps: scan the top row for the largest negative entry to...
Why the region has to be convex
The simplex algorithm only works when the feasible region has a particular shape. Pick any two...
The vocabulary of a linear program
Before turning the crank, it helps to pin down the words, because the simplex literature uses them...
More constraints, more dimensions, and the limits of brute force
The one-constraint picture was easy because you could draw it and count three corners. Real...
Why the maximum is always at a vertex
Once you have the feasible region, you do not have to test every point in it. Evaluate revenue 3c +...