Wednesday, September 16, 2015

Choosing a math/art/learning project

Here is the list to choose from. We have six groups, and should have a variety of different projects represented in our class.

1) (Sculpture) George Hart's 72 Pencils sculpture
 Some resources:

<http://www.instructables.com/id/Geometric-sculpture-from-72-pencils/>
<http://makezine.com/2009/10/19/72-pencils-1-sweet-sculpture/><https://www.youtube.com/watch?v=2WtyMP1n5Js>
<https://www.youtube.com/watch?v=GPNCbyrying>




2) (Origami) Unit origami examples of the five Platonic Solids


Some resources:
Tomoko Fuse (2005). Unit polyhedron origami. New York: Oxford University Press.
Thomas Hull (2013). Project origami: Activities for exploring mathematics. New York: CRC Press.

3) (Needlework/ sculpture) Crafting geometrically interesting temari balls

Some resources:
Sarah-marie Belcastro & Carolyn Yackel (Eds.) (2011). Crafting by concepts. Natick, MA: AK Peters.
Belcastro & Yackel (2008). Making mathematics with needlework.  Wellesley, MA: AK Peters.














4) (Poetry/ music) Create binary and base 3 poetry modelled on Mike Naylor's Hero, Run! poem -- and clap it.

Some resources:
<https://www.facebook.com/robert.a.bosch/posts/10201105162418965>
<http://mike-naylor.blogspot.ca>
<https://www.facebook.com/robert.a.bosch/posts/10201105162418965>
Oulipo compendium

5) (Music) Make a Vi Hart- style Moebius strip punched paper music box.


Some resources:
<https://www.youtube.com/watch?v=3iMI_uOM_fY>
<https://www.youtube.com/watch?v=3a9wWRxYSko>
<https://www.harpkit.com/mm5/pdf/Instructions/MBoxKit.pdf>
<http://www.kikkerland.com/products/make-your-own-music-box-kit/>
<http://www.brainpickings.org/2013/02/11/vi-hart-space-time-music/>
<https://www.simonsfoundation.org/multimedia/mathematical-impressions-making-music-with-a-mobius-strip/>

6) (Sculpture) Create a playing-card polyhedron

Some resources:
<http://www.georgehart.com/cards/cards.html>
<https://www.youtube.com/watch?v=4BdayHW8gwc>
<http://makezine.com/2009/12/21/playing-card-polyhedral/>







7) (Needlework) Knitting a Klein bottle



Some resources:
<http://www.toroidalsnark.net/mkkb.html>
<http://www.toroidalsnark.net/mathknit.html>
<http://www.toroidalsnark.net/mathknit.html#mkl> (and follow up on the many connected links)































8) (Balloon sculpture) Make a Sierpinski pyramid fractal with balloons

Some resources:
<http://mike-naylor.blogspot.ca/2012/07/ballooning-with-vi-hart.html>
<https://www.youtube.com/watch?v=WkBcq5ARqJM>



















9) (Binder clip sculpture) Make several polyhedral sculptures from binder clips and paper clips

Some resources:
<http://zacharyabel.com/sculpture/>
<http://www.instructables.com/id/Binder-Clip-Ball/>

10) (Dance) Learn to make longsword locks (and their coffee stir-stick equivalents) and demonstrate to class. (Note that this will take at least 5 people, perhaps 6, to execute).

<https://www.simonsfoundation.org/multimedia/mathematical-impressions-multimedia/mathematical-impressions-long-sword-dancing/>
<https://vimeo.com/66303546>
Walter Whiteley, “Rigidity and Polarity II: Weaving Lines and Tensegrity Frameworks,” Geometriae Dedicata 30, no. 3 (1989), pp. 255-279.

11) (Performance and nature) Watch Vi Hart's 3 videos on Fibonacci sequences and plant growth and replicate the artifacts and explanations in your own words as a class demonstration/ performance.


Some resources:
<https://www.khanacademy.org/math/recreational-math/vi-hart/spirals-fibonacci/v/doodling-in-math-spirals-fibonacci-and-being-a-plant-1-of-3>
<https://www.khanacademy.org/math/recreational-math/vi-hart/spirals-fibonacci/v/doodling-in-math-class-spirals-fibonacci-and-being-a-plant-2-of-3>
<https://www.khanacademy.org/math/recreational-math/vi-hart/spirals-fibonacci/v/doodling-in-math-spirals-fibonacci-and-being-a-plant-part-3-of-3

12) (Poetry) Create five different kinds of Oulipo mathematical poems.












Some resources:
<https://en.wikipedia.org/wiki/Oulipo>
<http://web.archive.org/web/20060612223506/http://www.oulipocompendium.com/>
Book: The OULIPO compendium
<http://poetrywithmathematics.blogspot.ca/2010/03/queneau-and-oulipo.html>


13) Other: If none of the above works well for your group, Susan has lots of other resources and ideas (including those from the areas of dance, design, etc.) Ask Susan for help if you would like to choose something different! Note that it is NOT enough to do 'any old project' -- these math/art/learning projects should put you in touch with the leading contemporary mathematical artists and their work.

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