Journal

Editorial essays connect classical puzzles to modern mathematical ideas.

Read focused essays for search and sharing, then follow the companion library guides for deeper source-backed context.

huarong-dao

Huarong Dao Rules: A Sliding-Block Puzzle Explained

A plain-English guide to Huarong Dao rules, the board, the Cao Cao escape goal, and why empty space matters.

Updated 2026-05-26
  • sliding blocks
  • puzzle rules
  • empty space
  • board layouts
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nine-linked-rings

Nine Linked Rings Move Sequence and Gray Code

A plain-English guide to the Nine Linked Rings move sequence, Gray code, and why each legal move changes one readable state.

Updated 2026-05-26
  • Gray code
  • state sequence
  • recursion
  • move count
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tangram

Tangram Geometry: Area, Symmetry, and Dissection

A source-backed guide to the geometry behind Tangram: fixed area, 45-degree pieces, symmetry, and dissection.

Updated 2026-05-26
  • geometry
  • area
  • symmetry
  • dissection
  • transformation
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huarong-dao

Huarong Dao as a State-Space Puzzle

How a Chinese sliding-block puzzle turns a compact board into a graph of states, paths, and shortest solutions.

Updated 2026-05-20
  • sliding blocks
  • state space
  • search
  • optimization
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nine-linked-rings

Nine Linked Rings and Binary Thinking

How a classic Chinese ring puzzle turns legal moves into state notation, recursion, and move-count formulas.

Updated 2026-05-20
  • binary states
  • recursion
  • move count
  • mechanical puzzle
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tangram

What Is a Tangram?

A source-backed introduction to the seven-piece Chinese shape puzzle and the geometry that makes it more than a toy.

Updated 2026-05-20
  • geometry
  • dissection
  • area
  • transformation
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Library companions

Continue from essays into structured guides.

01

Tangram Mathematics

A source-backed path into dissection geometry, topology, graph thinking, and area-preserving transformations.

Read guide
02

Nine Linked Rings as a Sequence System

A bridge from a traditional mechanical puzzle to binary-like state notation and recursive solving.

Read guide
03

Huarong Dao and Sliding-Block Search

A source-backed guide to Huarong Dao as a Chinese sliding-block puzzle and a natural route into state-space exploration.

Read guide