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By George Hart for the Museum of Mathematics

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The traditional craft of quilting can be used to make many mathematical forms. While quilters have always used geometry to work out repeating patterns, some modern quilters go further in using mathematical objects as the subjects of their quilts. Here are two impressive examples by Sarah Mylchreest and Mark Newbold.

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The above quilt (38″ x 42″) shows the great ditrigonal icosidodecahedron, a nonconvex uniform polyhedron consisting of twenty triangles and twelve pentagons. Although it is perfectly flat, it has a very 3D effect because the pattern includes some shadows.

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This 60″ quilt illustrates a Penrose tiling. It consists of just two shapes of pieces, both isosceles triangles, which join in pairs to make rhombuses. The pattern can be extended infinitely without exactly repeating.

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You can see all of the “Math Monday” columns here.

Gareth Branwyn

Gareth Branwyn is a freelancer writer and the former Editorial Director of Maker Media. He is the author or editor of a dozen books on technology, DIY, and geek culture, including the first book about the web (Mosaic Quick Tour) and the Absolute Beginner’s Guide to Building Robots. He is currently working on a best-of collection of his writing, called Borg Like Me.


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Comments

  1. Nightsky says:

    … which, full disclosure, is mine. I’m still working on it, and plan to continue until I run out of fabric or get sick of it, whichever comes first.
    http://www.geekachicas.com/index.php?option=com_myblog&show=the-aperiodic-quilt.html&Itemid=55

  2. Julianne Legge says:

    These are jaw droppers. Tremendous work!

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