Introducing the Precious Tangram Family

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Stanley Spencer: Introducing the Precious Tangram Family. In: Bridges 2006. Pages 73–78



The Author of this paper has developed a family of Precious Tangrams based upon dissections of the first six regular polygons. Each set of tiles has similar properties to that of the regular tangram. In particular the property called Preciousness. It includes a discussion of some of the mathematical aspects of the dissections with examples of non periodic tessellating patterns. It continues with examples of the unique way in which they can produce an infinite number of designs. It explains the iterative nature of the process as applied to designs for mosaics, quilts and animation.

Extended Abstract


Used References

[1] Spencer, Stanley J, The Tangram Route to Infinity ISBN 141202917-1

[2] Mathematical Connections in Art, Music and Science. Bridges Conference 2004 ISBN 0-9665201-5-7.

[3] Mathematical Connections in Art, Music and Science. Bridges Conference 2005 ISBN 0-9665201-6-5.

[4] Spencer, Stanley J (Accessed 6.12.2003)<>

[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)

[8] Solomon W Golomb, Polynomials Puzzles, Patterns, Problems, and Packings, pg. 8, Appendix C, Pg 148, Princeton University Press, 2nd edition, 1994.

[9] Jay Bonner, Three Traditions of Self Similarity in 14th and 15th Century Islamic Geometric Ornament, Meeting Alhambra, ISAMA Bridges Conference Proceedings 2003, ISBN 84-930669-1-5.


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