Star Tangrams

Robert Bates Graber 1 , Stephen Pollard 1  and Ronald C. Read 1
  • 1 Truman State University, Truman State University, University of Waterloo


The Tangram is a puzzle in which seven tiles are arranged to make various shapes. Four families of tangram shapes have been mathematically defined and their members enumerated. This paper defines a fifth family, enumerates its members, explains its taxonomic relationship with the previously-defined families, and provides some interesting examples

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  • [1] R. C. Read. “The Snug Tangram and Some Other Contributions to the Corpus of Mathematical Trivia”, Bulletin of the ICA, 40, 2004.

  • [2] J. Slocum, J. Botermans, D. Gebhardt, M. Ma, X. Ma, H. Raizer, D. Sonneveld, and C. Splunteren. The Tangram Book, New York: Sterling, 2004.

  • [3] F. T. Wang and C. C. Hsiung. “A Theorem on the Tangram”, American Mathematical Monthly, 49, 1942.


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Recreational Mathematics Magazine is a journal for mathematicians who enjoy imaginative ideas, non-standard approaches, and surprising procedures. The journal addresses such topics as: games and puzzles, problems, mathmagic, mathematics and arts, math and fun with algorithms.