Four former world champions. Four football superpowers. Four teams that began the tournament occupying the top four places in ...

Our free mini version of the classic crossword puzzle with a business twist. Perfect for the crossword enthusiast who only has a few minutes between meetings. New puzzles go live five days a week, ...

A 104-match, 39-day World Cup held across three countries might be a heavy slog for the players, but spare a thought for the broadcasters. The North American World Cup has smashed records ...

The 48-team format of the World Cup is proving to be quite the puzzle to work out the permutations of third-place qualifiers, even for some of the players.

Australia only need a draw to finish as Group D runners-up but head coach Tony Popovic insists the team will go into the crunch clash ‘to win’ ...

Explore the mechanics behind a notorious water torture cell puzzle and see whether logic, timing, and strategy are enough to find a way out.

Whether you're just starting out or have been enjoying the hobby for a while now, you'll know that there's a wide variety of puzzle sizes to choose from nowadays. Some puzzles contain thousands of ...

Abstract: Equivariant quantum graph neural networks (EQGNNs) offer a potentially powerful method to process graph data. However, existing EQGNN models only consider the permutation symmetry of graphs, ...

Abstract: In recent decades, the introduction of chaos to image encryption has drawn worldwide attention. The permutation-substitution architecture has been widely applied, and chaotic systems are ...