The Gemini Family of Triangles

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Alvin Swimmer and Mary C. Williams: The Gemini Family of Triangles. In: Bridges 2006. Pages 395–402



There are a series of triangles in the pentagon/pentagram figure that can be used advantageously in quilting. We are going to investigate these triangles both mathematically and artistically.

Extended Abstract


Used References

[1] Euclid, Book IV Proposition 10 and 11 translations by Sir Thomas L. Heath

[2] Electronic Quilt 4, 1999

[3] L. Gordon Plummer, The Mathematics of the Cosmic Mind page 186, 1970

H. S. M. Coxeter, Introduction to Geometry 2nd Edition pages 26 to 28 and 37

Jim Loy, The Regular Pentagon,

Henry H. Ludlow, Geometric Construction of the Regular Decagon and Pentagon, 1904

Mathematical Countryside,

Jinney Beyer, Patchwork Puzzle Balls pages 76 to 83


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