No edit summary |
No edit summary |
||
Line 100: | Line 100: | ||
==== Knot Theory ==== | ==== Knot Theory ==== | ||
* Alexei Sossinsky, ''Mathematik der Knoten: Wie eine Theorie entsteht'' ISBN 978-3499609305 | * Alexei Sossinsky, ''Mathematik der Knoten: Wie eine Theorie entsteht'' ISBN 978-3499609305 | ||
* [http://www.ritsumei.ac.jp/se/~hirai/research/linearobjectmanipulation-e.html Manipulation of Deformable Linear Objects] feat. [https://www.youtube.com/watch?v=UZfpFkIdhl0 | * [http://www.ritsumei.ac.jp/se/~hirai/research/linearobjectmanipulation-e.html Manipulation of Deformable Linear Objects] feat. [https://www.youtube.com/watch?v=UZfpFkIdhl0 Un-Knotting Bot] | ||
* [http://ijr.sagepub.com/content/25/4/371.full.pdf Knotting/Unknotting: Manipulation of Deformable Linear Objects] | * [http://ijr.sagepub.com/content/25/4/371.full.pdf Knotting/Unknotting: Manipulation of Deformable Linear Objects] | ||
Revision as of 17:58, 20 April 2016
Computing with Thread: Part I
Thread Geometry
We explored what kind of geometric constructions we can do with thread, chalk and the help of several people...
We found out...
- 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)
3D thread geometry
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
Observations
- Geometric knowledge from school only got us so far ...
- There is a whole universe of "new" shapes and forms
Questions raised
- Questions regarding surface of different shapes popped up
- We discussed different methods of measuring the surfaces using thread
Homework
- 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
Links
Geometry
Some links to classics of compass + straightedge geometry
as well as the thread-based geometry we explored in our class.
Lines
- Tim Ingold: Lines: a brief history, ISBN 978-0415424271 (hint: google it)
- Kandisky: Punkt und Linie zu Fläche
Ellipses
- 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
- Compass and straightedge construction on Wikipedia
- Byrne's version of Euclid's elements using coloured shapes (very bauhaus)
- 3D Sculptures by Helen Friel
Kitspiration
Here are some links to all kinds of kits.
May they serve as inspiration for creating your own textile computing kits.
Educational Kits
- Anker-Steinbaukasten
- LECTRON Elektrobaukasten
- LEGO, KNEX, LEGO-Mindstorms ...
Sewing Boxes
- Sewing Box with Implements
- Sewing Box Cabinet by Kiki van Eijk
Tool Boxes
- Survival Kit
- Dentist Toolkit
- Pictures of surgical sets and tool boxes
Portable Textile tools
- The Charkha (spinning)
- Hexagonal Weaving loom (hexagonal weaving)
- Tablet Weaving (weaving/braiding)
- How to make a Kumihimo Disk out of a CD (braiding)
Knots and Splices
Links
How are threads made?
Thread Games
Self-Assembly
- Teslaphoresis (self-assembly of threads)
- Spontaneous Patterns in vibrated Ball Chains: Knots and Spirals
Knotting
- Encylopedia of Knots and Fancy Rope Work ISBN 978-0870330216
Unknotting with Force and Magic
- Gordian Knot (mythology)
- Harry Houdini
- Abbot's encylopedia of rope tricks for Magicians ISBN 978-0486232065
- Self-Working Rope Magic: 70 Foolproof Tricks ISBN 978-0486265414
- Seil-Salabim
Splicing
...
Knot Theory
- Alexei Sossinsky, Mathematik der Knoten: Wie eine Theorie entsteht ISBN 978-3499609305
- Manipulation of Deformable Linear Objects feat. Un-Knotting Bot
- Knotting/Unknotting: Manipulation of Deformable Linear Objects
...