Geometry and dissection
Tangram
Seven simple tans become animals, letters, proofs, and silhouettes through area-preserving rearrangement.
- Math
- Shape transformation, symmetry, area, and convexity.
- Status
- Playable workbench live
Interactive archive / recreational mathematics
Explore tangrams, ring puzzles, sliding blocks, and the mathematical ideas hidden inside centuries of Chinese puzzle culture.
Featured puzzle
The first workbench turns the archive into something users can test by hand: rotate, drag, snap, and rebuild the square from seven tans.
Puzzle gateways
Geometry and dissection
Seven simple tans become animals, letters, proofs, and silhouettes through area-preserving rearrangement.
Binary state and recursion
A mechanical sequence puzzle where progress depends on legal state changes rather than brute force.
Sliding blocks and search
A compact sliding-block system that turns a historical story shape into an algorithmic search problem.
Living mathematics
See how equal areas survive rotation, reflection, and recombination.
Treat every valid position as a readable system state, not just a picture.
Break long mechanical sequences into repeated smaller patterns.
Understand how sliding-block puzzles become paths through a graph.
Archive preview
The Chinese source chapters stay traceable in the content pipeline. Public pages should be translated, edited, and rewritten for English readers.
The archive begins with the uncertain origin story, overseas spread, and mathematical afterlife of the seven-piece puzzle.
Source pages 25-36View source noteA source-backed path into dissection geometry, topology, graph thinking, and area-preserving transformations.
Source pages 42-96View source noteA bridge from a traditional mechanical puzzle to binary-like state notation and recursive solving.
Source pages 162-193View source noteA compact board, a famous escape goal, and a natural route into state-space exploration.
Source pages 205-289View source noteSources and methods
Eastern Puzzle Archive begins from Chinese recreational mathematics source material, then adds English editorial adaptation, diagrams, interaction, and correction notes. The first public release should stay modest, transparent, and useful.