2.1M views · Aug 22, 2025 · 12:20 · 3 HN recommenders · 4 mentions · discussed 2025–2026
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.
Why Hacker News points people here: HN people point to it for intuition about why some games are hard to navigate and for its Rush Hour and graph visualizations.
“the state space of the game can produce some intuition on why certain games are hard”HN comment, 2025
“the state space of the game can produce some intuition on why certain games are hard”
State-space clustering shows why some games are hard to navigate.
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.
“you will appreciate this video by 2swap, visualising solutions to Rush Hour in 3D”
2swap visualizes Rush Hour solutions in 3D.
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
“Worth a watch if you haven't by now.”
2swap's graph visualizations are similar to this project.
This looks similar to the graphs on "2swap"[1]. Worth a watch if you haven't by now. [1] this video
“This is an interactive accompaniment to a video that contains more information”
Video with more information on Klotski solving.
This is an interactive accompaniment to a video that contains more information: this video (previously discussed a bit at link )
