I Solved Klotski

http://brilliant.org/2swap/ - Click here for a 30 day Brilliant free trial and 20% discount on an annual premium subscription! If you liked this, please support me on Patreon! https://www.patreon.com/c/2swap You can support the musician, 6884, on Kofi: https://ko-fi.com/iam6884 Check out his music here! https://6884.bandcamp.com/ Video animated with SwapTube: https://github.com/2swap/swaptube Thanks to Lim Kai Yi for letting me use the Klotski Guinness WR footage! https://www.youtube.com/@limkaiyiworldrecord Play with the graph interactively online: https://2swap.github.io/Klotski-Webpage/ Join our discord server about math, computer science, and other miscellaneous nerd stuff! https://discord.com/invite/XDb7x2BZAE

Channel: 2swapGenerated by anonymousDuration: 12mPublished Aug 22, 2025
Thumbnail for I Solved Klotski ▶ Watch on YouTube

Video Chapters

Original Output

0:00 Welcome to the captivating world of sliding block puzzles!
0:08 Unveiling the hidden graph structures beneath these classic games.
0:39 How every puzzle move carves a path through a labyrinth of states.
3:24 The surprising truth: empty spaces, not blocks, define a puzzle's freedom.
5:20 Dive into the legendary Klotski puzzle, a true test of intellect.
6:28 Witness how a puzzle's symmetry is elegantly reflected in its graph.
7:13 Charting the optimal, shortest path to conquer the Klotski challenge.
8:25 Discover Klotski's fragmented state space: paths to nowhere and unreachable zones.
9:36 Uncovering universal patterns within localized puzzle sub-structures.
10:45 From simple elements to complex systems: the power of abstraction in puzzles and beyond.

Timestamps by McCoder Douglas

Unprocessed Timestamp Content

0:00 Welcome to the world of sliding block puzzles, more than just games.
0:08 Unraveling the hidden graph structures that these puzzles create.
0:27 Understanding Klotski: freeing the main block from its colorful prison.
0:39 How each puzzle move forms nodes and edges in a labyrinth of paths.
1:00 What does the complete graph of all possible puzzle states look like.
1:15 Simple puzzles reveal the underlying grid and lattice structures.
1:46 Intersecting blocks create fascinating hollowed-out graph formations.
2:09 When blocks align, watch the graph transform into unique shapes.
2:33 Three intersecting pieces carve out areas within a 3D cube.
2:50 This complex puzzle shows both orderly patterns and chaotic areas.
3:24 Degrees of freedom determined by the empty spaces, not just blocks.
3:40 The initial Klotski puzzle's superstructure looks deceptively simple.
4:27 This puzzle's graph neatly forms a square connecting four distinct corners.
5:20 Analyzing the classic Klotski puzzle, a true test of patience.
5:34 My coworker got hooked, solving this puzzle until 11 PM.
5:50 Is getting the box under the bar truly the hardest part.
6:28 The overall graph mirrors the puzzle's inherent symmetrical design.
7:13 Following the optimal, shortest path to solve the Klotski puzzle.
7:40 The world record solver used a different path, surprisingly.
8:00 Visualizing the different stages of the puzzle's toughest challenge.
8:25 Klotski's unreachable positions illustrate a fragmented state space.
9:00 Discovering isolated islands within the vast puzzle universe.
9:36 Shared patterns emerge from localized sub-structures within the graph.
10:12 Complex graphs are collections of smaller, interwoven puzzle logic.
10:45 From atoms to organisms: systems built on layers of abstraction.
11:21 Sponsored content: learn computer science with interactive lessons.

Timestamps by McCoder Douglas