An Introduction to the Tiling Properties of the Tangram and Their Application in Two and Three Dimensions

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Reference

Stanley Spencer: An Introduction to the Tiling Properties of the Tangram and Their Application in Two and Three Dimensions. In: Bridges 2004. Pages 71–78

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Abstract

This introduction to the tiling properties of the Tangram focuses upon the property called Preciousness. It continues with examples of the unique way in which they can produce an infinite number of tiling patterns. It explains the iterative nature of the process as applied to designs in two and three dimensions. Summaries of the Geometric properties and Artistic examples are included.

Extended Abstract

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Used References

[1]J J O'Connor and E F Robertson (Accessed 6.12.2003) babylonian Mathematics <http://www-history.ac.uklhistorylHistTopicslBabylonian_Pythagoras.html>

[2] Weisstein, Eric W (Accessed 6.12.2003) Stomachion <http://mathworld.wolfram.com>

[3] Tangrams (Accessed 6.12.2003)<http://tangrams.ca>

[4] Spencer, Stanley J (Accessed 6. 12.2003)<http://pythagoras.org.uk>

[5] Meeting Alhambra. ISAMA-Bridges 2003 Conference Proceedings ISBN 84-930669-1-5

[6] Fu Traing Wang and Chuan-Chih Hsiung A Theorem on the Tangram. American Mathematical Monthly, vol. 49, 1942

[7] Steven Dutch Rep-Tiles (Accessed 1.4.2004) http://www.uwgb.eduldutchs/symmetry/reptilel.htm


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http://archive.bridgesmathart.org/2004/bridges2004-71.pdf

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