mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

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

If you enjoyed this puzzle, check out Sunday Afternoon Maths LIX,
puzzles about logic, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024