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Recreational Mathematics Magazine

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Mathematical Citation Quotient (MCQ) 2016: 0.05

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Star Tangrams

Robert Bates Graber / Stephen Pollard / Ronald C. Read
Published Online: 2016-04-14 | DOI: https://doi.org/10.1515/rmm-2016-0004


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

Keywords: Tangrams; combinatorics; spatial puzzles


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

  • [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.Google Scholar

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

About the article

Published Online: 2016-04-14

Published in Print: 2016-03-01

Citation Information: Recreational Mathematics Magazine, Volume 3, Issue 5, Pages 47–60, ISSN (Online) 2182-1976, DOI: https://doi.org/10.1515/rmm-2016-0004.

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© 2016. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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