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* [https://www.cs.arizona.edu/patterns/weaving/topic_tabletweaving.html Tablet Weaving] (weaving/braiding) | * [https://www.cs.arizona.edu/patterns/weaving/topic_tabletweaving.html Tablet Weaving] (weaving/braiding) | ||
* [http://www.instructables.com/id/Make-a-Kumihimo-Disk-Out-of-a-CD/ How to make a Kumihimo Disk out of a CD] (braiding) | * [http://www.instructables.com/id/Make-a-Kumihimo-Disk-Out-of-a-CD/ How to make a Kumihimo Disk out of a CD] (braiding) | ||
== Knots and Splices == | == Knots and Splices == | ||
=== Links === | === Links === | ||
==== How are threads made? ==== | ==== How are threads made? ==== | ||
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* [http://news.rice.edu/2016/04/14/nanotubes-assemble-rice-introduces-teslaphoresis-2/ Teslaphoresis] = self-assembly of threads | * [http://news.rice.edu/2016/04/14/nanotubes-assemble-rice-introduces-teslaphoresis-2/ Teslaphoresis] = self-assembly of threads | ||
* Spontaneous Patterns in vibrated Ball Chains: [http://www.maths.bris.ac.uk/~majge/hjce.06.pdf Knots] and [http://cnls.lanl.gov/~ebn/pubs/spiral/spiral.pdf Spirals] | * Spontaneous Patterns in vibrated Ball Chains: [http://www.maths.bris.ac.uk/~majge/hjce.06.pdf Knots] and [http://cnls.lanl.gov/~ebn/pubs/spiral/spiral.pdf Spirals] | ||
==== Knotting ==== | ==== Knotting ==== | ||
... | ... | ||
==== Splicing ==== | ==== Splicing ==== | ||
... | ... | ||
==== Knot Theory ==== | ==== Knot Theory ==== | ||
... | ... | ||
== Braids == | == Braids == | ||
== Networks == | == Networks == | ||
Revision as of 10:31, 19 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
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
Educational Kits
- Anker-Steinbaukasten
- Elektro-Baukasten
- 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?
Self-Assembly
- Teslaphoresis = self-assembly of threads
- Spontaneous Patterns in vibrated Ball Chains: Knots and Spirals
Knotting
...
Splicing
...
Knot Theory
...