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


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


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