The mutilated chessboard

You are given a chessboard where two diagonally opposite corners have been removed and a large bag of dominoes of such size that they exactly cover two adjacent squares on the chessboard.
Is it possible to place 31 dominoes on the chessboard so that all the squares are covered? If yes, how? If no, why not?

Show answer & extension

Tags: chess
If you enjoyed this puzzle, check out Sunday Afternoon Maths XV,
puzzles about chess, or a random puzzle.


Show me a random puzzle
 Most recent collections 

Advent calendar 2020

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

List of all puzzles


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


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2021