Some of Irena Swanson's mathematics-related quilts
For the last few years I have been developing
a very fast, efficient, and accurate method for making quilts.
I call it tube piecing:
it is to strip piecing as strip piecing is to traditional piecing.
I can make a quilt top with twelve rows of triangles,
each row having nine red triangles pointing one way
and nine yellow triangles pointing the other way,
all sewn together with 32 seams only.
I have many other impressive shortcuts.
At the end of June 2015,
my developing book has 370 pages.
The book contains many concrete examples,
but also mathematical formulas for changing sizes and angles.
I plan to eventually set up a web page for tube piecing.
Please let me know if you are interested in testing
Only standard quilting gadgets are needed
(rotary cutter and mat, sewing machine, iron, fabric, thread).
This is commemorating the special program in Commutative Algebra
at MSRI, 2002/03.
Depicted are David Eisenbud (upper right),
Lucho Avramov, Bernd Sturmfels, Karen Smith, Craig Huneke.
Apparently this quilt is now lost. Sigh.
If you see it,
please return to MSRI or to me.
"Mandelbrot set" was the winner in the Fractals category
of the quilt block design contest sponsored by IEEE Spectrum,
published December 1998.
This is my Ph.D. committee, 1992:
Craig Huneke, Luchezar Avramov, William Heinzer;
Ian Aberbach is not photographed, but he is on the quilt.
Geometric and arithmetic progression quilts.
Not yet quilted.
On the right is one of the two leftover quilts.
This one is not rectangular (been there, done that -- let's be different).
All the possible semiregular tesselations of the plane
that are not regular:
all shapes are regular n-gons,
more than one shape is used,
and the configuration at each vertex is the same.
(The configurations are, in order:
top row: 4.6.12; 3,4,6,4; 188.8.131.52.4;
middle row: 184.108.40.206; 4.8.8; 220.127.116.11.4;
bottom row: 3.12.12; 18.104.22.168.6.)
An article on mathematics and quilting
(first three sections only),
on piecing semiregular tessellations.
Semiregular tessellations are explained at a high-school level,
some results are proved,
some mathematical activities are proposed for learners of less
and more advanced levels,
and then quick and new piecing methods are developed for making quilts.
This is now a chapter in the book
Crafting by Concepts (link to A K Peters),
edited by sarah-marie belcastro
and Carolyn Yackel
and published by A K Peters in 2011.
(There are many drawings and photos in this 79-page pdf file,
so the download may be slow.)
In my chapter I present some new methods of making quilts accurately
but with the (lovely) advantage of creating "waste" that can be turned into lovely leftover quilts.
Below find the photos of the resulting semiregular tessellations quilts,
and the leftover quilts.
4444: the easiest one to make.
333333: two minis, a medium, and a larger quilt.
333333: steps, playing with offsets
33336, 3636, 33334, 33434