
From
their Chapter on Linear Fractal Quilts A Closer Look at One Quilt
Pattern: Sierpinski Curve
Unlike most wellknown fractal curves, the sides of a Sierpinski curve are NOT formed upon the sides of a previous level; instead, its sides enclose a new shape at each level. The first level is a square; the second level is an octagon. The third level is a shape dominated by squares building upon alternating edges of the octagon. The fourth level is dominated by octagons building upon the squares added in Level 3. This alternating pattern of adding squares and octagons continues as higher levels are created. 
Diana Venters and Elaine Ellison
shared a passion for mathematics and a hobby of quilting.
Starting in the 1980s their interests merged into a collaboration that
has produced almost 100 quilts, dozens of presentations at math
conferences, and two books. Convention goers will never forget
their sessions. See if you can identify the following classic
patterns they have quilted:

The images on this site are
being used with permission of Key Curriculum Press, 1150 65th Street.
Emeryville, CA 94608, 1800995MATH, < http://www.keypress.com >. 
For
a collection based on a variety of famous mathematical patterns: Diana Venters and Elaine Krajenke Ellison, Mathematical Quilts, Key Curriculum Press, 1999. ISBN 155953317X 
For
a collection of mostly fractal quilt patterns: Diana Venters and Elaine Krajenke Ellison, More Mathematical Quilts, Key Curriculum Press, 2003. ISBN 1559533749 

Diana
Venters and Elaine Ellison 