3 HN users recommended this explainer3 months2025–2026score 3
Years with an HN recommendation, 2007–2026
HN people point to it for intuition about why some games are hard to navigate and for its Rush Hour and graph visualizations.
2swap explains how he solved the Klotski sliding-block puzzle by mapping its full state space as a graph and visualizing it. The video includes footage of the Guinness world-record solve and links to an interactive graph.
“the state space of the game can produce some intuition on why certain games are hard” (HN, 2025)
This reminds me of this nice video : [this video] basically, the state space of the game can produce some intuition on why certain games are hard, and is demonstrated as a clustering of various states that are only linked to the winning state by a very small number of edges. So a player can easily "get lost" in the maze.
State-space clustering shows why some games are hard to navigate.
Great article, very impressive to solve the entire game, rather than just individual puzzles. PS: Good chance that if you're reading these comments that you will appreciate this video by 2swap, visualising solutions to Rush Hour in 3D: [this video]
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