DeductionVectorsMedium
The Vector Vanish
Hop a token by any vectors — its final colour is fixed before it moves.
Worked demonstration
On a chessboard, a token starts on a WHITE square. It hops by these moves (right/up positive, left/down negative): (+1, −1), (+2, +1), (−1, −2), (+1, −2). What colour square does it land on?
Try it yourself
Why it works
Only the parity of the total step (sum of all dx+dy) matters: even keeps the start colour, odd flips it — the path is irrelevant.
Background & Explore Further
Parity invariance is the math behind the 15-puzzle solvability proof, chessboard-colouring arguments and parity bits in computing. Explore why some configurations are simply impossible to reach.
Maths Made Magic — Queen Mary University of London (cs4fn)