From Zhuge Liang to Gray Codes

The Prompt

Trace the lineage of the Nine Linked Rings from its Chinese literary and legendary origins (Yang Shen, Zhuge Liang, Dream of the Red Chamber) through Édouard Lucas's mathematical analysis to the modern understanding of its isomorphism with Gray codes. Cite at least three sources spanning the cultural and mathematical history.

Completion Criteria

Three citations and a short essay (three or four paragraphs) on the puzzle's dual existence as toy and mathematical structure.

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