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

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

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

Archive

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