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spirolateral-williams.jpg
"Spirolateral_{6}^{1,3,4} ," by Mary Candace Williams. Quilt copyright 2005 Mary Candace Williams; design is copyright Robert Krawczyk; photograph by Robert Fathauer.The challenge of doing a quilt that has only rotational symmetry and uncommon angles lies in a technique called partial seaming. The printed fabric has a lot of pursuit curves overlaide on top of one another and shows a lot of contrast with the black of the spirolateral.

--- Mary Candace Williams
poincare-williams.jpg
"Poincare," by Mary Candace Williams. Quilt copyright 2005 Mary Candace Williams; photograph by Robert Fathauer.This is a hyperbolic design so it is as if a sphere was mapped onto a plane. The printed fabric has distorted spheres. This quilt is unusual in that it is pieced from the outside to the center.

--- Mary Candace Williams
parastar8-williams.jpg
"ParaStar8," by Mary Candace Williams. Quilt copyright 2003 Mary Candace Williams; photograph by Robert Fathauer.This quilt is is the third in a series of quilts based on the approximation of a parabola by drawing a series of straight lines. There were eight divisions of the orginal block which was then mapped onto a rhombus and repeated eight times for the complete quilt. The star part of the design was enhanced by the use of shades of color.

--- Mary Candace Williams
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"Symmetry Mobius," by Mary Candace Williams; photograph by Annette Emerson.In order to keep the mobius as a band, I used only the eleven symmetries that are not based on a hexagon. The fabric was chosen for its mathematical content. -- Mary Candace Williams
williams-3d08.jpg
"Tumbling Escher," by Mary Candace Williams. Quilt copyright 2006 By Mary Candace Williams; photograph by Annette Emerson.If you look at the quilt at a perpendicular angle you have a traditional diamond tessellation known as Tumbling Block. From the side, however, it rises up and back into the quilt; thus a nod to Escher's "Reptiles" in which the drawn lizard rises up and out and back into the drawing board. --- Mary Candace Williams

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"Sa'odat (Happiness)," by Nathan Voirol (2007)Hand-made ceramic tile, 15" diameter. "Islamic star pattern based on a tessellation of 18 and 12 pointed stars in a hexagonal repeat. My primary artistic interest is in designing repeatable patterns--I particularly enjoy creating geometric star and floral designs, which stem from my fascination with Islamic art." --- Nathan Voirol, CAD Drafter / Freelance Artist, Santa Barbara, CA
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Ulfah (Harmony)," by Nathan Voirol (2008)Silkscreen print on paper, 20" x 24". "Islamic star pattern based on a tessellation of a 54 pointed star surrounded by 9 and 18 pointed stars in a hexagonal repeat. My primary artistic interest is in designing repeatable patterns--I particularly enjoy creating geometric star and floral designs, which stem from my fascination with Islamic art." --- Nathan Voirol, CAD Drafter / Freelance Artist, Santa Barbara, CA