- 1 Computing with Thread: Part I

We explored what kind of geometric constructions we can do with thread, chalk and the help of several people...

- how to draw a line
- how to draw a circle ( d = const.)
- how to draw an ellipse ( a + b = const.)
- how to draw multifocal ellipses (a + b + c = const.)
- how to draw egg-shaped curves (3 * a + b = const.)
- how to measure the circumference of a circle
- how to calcualte pi using only thread (See also here)

We explored how our thread-based drawing tools could be used to identify points on the surface of shapes in 3 dimensions.

- We discovered the 3d ellipsoid (a + b = const.)
- We found that multifocal 3d ellipsoids have a doughnut-topology.
- We found two different ways to create ellipsoid shapes:
- the polygon method, where the thread forms a polygon going through the focal points and the drawing point
- the star method where the thread is alternately visiting each focal point and the drawing point

- Geometric knowledge from school only got us so far ...
- There is a whole universe of "new" shapes and forms

- Questions regarding surface of different shapes popped up
- We discussed different methods of measuring the surfaces using thread

- What could an Experimentier-Baukasten / a kit / a sandbox for computing with thread look like?

Do some research on other kinds of kits! - Do some thread-based geometry at home. Pick a parameter such as the thread-length and vary it systematically
- Document your thread-art in the wiki

Some links to classics of compass + straightedge geometry

as well as the thread-based geometry we explored in our class.

- Tim Ingold:
*Lines: a brief history*, ISBN 978-0415424271 (hint: google it) - Kandisky:
*Punkt und Linie zu Fläche*

- Ellipse on Wikipedia
- Multifocal oval curves on Wikipedia
- On the description of oval curves by James Clerk Maxwell
- Semidefinite Representation of the k-Ellipse

- Compass and straightedge construction on Wikipedia
- Byrne's version of Euclid's elements using coloured shapes (very bauhaus)
- 3D Sculptures by Helen Friel

Here are some links to all kinds of kits.

May they serve as inspiration for creating your own textile computing kits.

- Anker-Steinbaukasten
- LECTRON Elektrobaukasten
- LEGO, KNEX, LEGO-Mindstorms ...

- Sewing Box with Implements
- Sewing Box Cabinet by Kiki van Eijk

- Survival Kit
- Dentist Toolkit
- Pictures of surgical sets and tool boxes

- The Charkha (spinning)
- Hexagonal Weaving loom (hexagonal weaving)
- Tablet Weaving (weaving/braiding)
- How to make a Kumihimo Disk out of a CD (braiding)

- various knot books online and offline
- We learned how ropes are made in a "Seilerei" on the "Reeperbahn"
- We learned about a rope inspection machine, that travels along a the cable of a "Seilbahn"

- We learned the basics of knot theory
- Minimum number of crossings
- Knot-Invariants and Knot-Polynomials

We played a knot identification game.

It goes like this:

- Student A creates two knots using thread.
- Student B tries to figure out whether or not the two knots are the same

Create a nice framework for displaying knots.

The framework can be physical, graphical or computational in nature

- Teslaphoresis (self-assembly of threads)
- Spontaneous Patterns in vibrated Ball Chains: Knots and Spirals

- History and Science of Knots
- Animated Online Encyclopedia of Knots
- Encylopedia of Knots and Fancy Rope Work ISBN 978-0870330216

- Gordian Knot (mythology)
- Harry Houdini (magician)
- Abbot's encylopedia of rope tricks for Magicians ISBN 978-0486232065
- Self-Working Rope Magic: 70 Foolproof Tricks ISBN 978-0486265414
- Seil-Salabim

- Splicing Animated.

- Knot Theory Videos by Numberphile
- How Mathematics gets into Knots
- Alexei Sossinsky,
*Mathematik der Knoten: Wie eine Theorie entsteht*, ISBN 978-3499609305 - The Knot Atlas
- Historic Knot Tables

- Hojōjutsu japanese martial arts technique
- Shibari arte documentary on japanese bondage
- Go get knotted a blog to learn bondage knots
- Enchanted Forest photo series by Garth Knight

- Manipulation of Deformable Linear Objects feat. Un-Knotting Bot
- Knotting/Unknotting: Manipulation of Deformable Linear Objects

In this class we will identify the basic elements of braids, and explore the intersection of braiding and sorting algorithms...

- French Children's book feat. Maypole Dance + Track Diagram
- Pet Flakes Architecture inspired by Maypole braiding
- Bobbin Dance by Shane Waltener

- Sorting Networks by Computer Science Unplugged
- Bubble Sort as hungarian folk dance
- Bubble Sort
- Merge Sort
- Insertion Sort
- Quick Sort

- Braiding in Griswold's Weaving Archive
- Tablet Weaving in Griswold's Weaving Archive

- Loop Braiding
- Braiding Techniques for horses

- Online Braiding Tools
- Bead Crochet Software
- Guntram's Tablet Weaving Thingie
- ATARI band weaving book + disk

- Y. Kyosev,
*Braiding Technology for Textiles*, ISBN 978-0857091352 + ebook version