Puzzle gateways

Three classical puzzles, three ways into mathematics.

Start with the playable Tangram workbench, then follow the roadmap toward ring state simulators and sliding-block search.

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
Open gateway

Binary state and recursion

Nine Linked Rings

A mechanical sequence puzzle where progress depends on legal state changes rather than brute force.

Math
Binary-like states, Gray code, recursion, and move counts.
Status
Simulator planned
Open gateway

Sliding blocks and search

Huarong Dao

A compact sliding-block system that turns a historical story shape into an algorithmic search problem.

Math
State-space graphs, breadth-first search, heuristics, and optimization.
Status
Interactive board planned
Open gateway