Turning squares

Each square on a chessboard contains an arrow point up, down, left or right. You start in the bottom left square. Every second you move one square in the direction shown by the arrow in your square. Just after you move, the arrow on the square you moved from rotates 90° clockwise. If an arrow would take you off the edge of the board, you stay in that square (the arrow will still rotate).
You win the game if you reach the top right square of the chessboard. Can I design a starting arrangement of arrows that will prevent you from winning?

Show answer


Show me a random puzzle
 Most recent collections 

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles


wordplay elections calculus surds the only crossnumber percentages polygons sport time averages square numbers median dice chalkdust crossnumber angles crossnumbers chess logic crossnumber multiples people maths perfect numbers bases ellipses ave 3d shapes factorials shapes number cryptic clues colouring cube numbers tiling taxicab geometry triangle numbers area fractions folding tube maps digits coordinates advent remainders menace integration perimeter palindromes cards indices lines partitions regular shapes irreducible numbers clocks mean volume range multiplication dates pascal's triangle proportion circles quadratics grids numbers unit fractions trigonometry functions books spheres rugby squares crosswords money doubling coins games balancing planes dodecagons speed factors complex numbers sums sum to infinity arrows prime numbers geometry odd numbers graphs symmetry chocolate digital clocks sequences rectangles dominos routes 2d shapes gerrymandering star numbers triangles integers shape differentiation cryptic crossnumbers algebra addition division hexagons square roots floors products means probability parabolas christmas scales probabilty


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2020