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Exploring Liu Hui’s Cube Puzzle - References

Lingguo Bu (Southern Illinois University Carbondale)


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  13. Martzloff, J.-C. (1987/1997). A History of Chinese Mathematics (S. S. Wilson, Trans.). New York, NY: Springer.
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  16. Silverman, J. (2013). Ancient Chinese Geometry. Available at 
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  18. Stewart, I. (2009). Professor Stewart's Cabinet of Mathematical Curiosities. New York, NY: Basic Books.
  19. Weisstein, E. W. (n.d.). Cube. From MathWorld - A Wolfram web resource at
  20. Wagner, D. B. (1979). An Early Chinese Derivation of the Volume of a Pyramid: Liu Hui, Third Century A.D. Historia Mathematica6, 164-188.
  21. Ying, J. M. (2011). The Kujang sulhae 九章術解: Nam Pyǒng-Gil's reinterpretation of the mathematical methods of the Jiuzhang suanshu. Historia Mathematica38, 1-27.
  22. 四角錐を切り分けてわかる3で割る3つの理由 (n.d.). Retrieved June 23, 2016 from

Also in Convergence

The article "Leonardo Da Vinci's Geometric Sketches" includes images of the tetrahedron and cube, along with the other Platonic solids, created for Luca Pacioli's De divina proportione (1509).

Lingguo Bu (Southern Illinois University Carbondale), "Exploring Liu Hui’s Cube Puzzle - References," Convergence (February 2017)