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Pantographs and the Geometry of Complex Functions | Infinite Series

2017-06-08

[public] 100.1K views, 3.48K likes, 98.0 dislikes audio only

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When we mathematically abstract a 400 year old drawing tool called the Pantograph, we find that they have an incredible relationship with complex functions. Start your free trial with Squarespace at http://squarespace.com/infiniteseries and enter offer code ā€œinfiniteā€ to get 10% off your first purchase.

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Previous Episode

Dissecting Hypercubes with Pascal’s Triangle

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Written and Hosted by Kelsey Houston-Edwards

Produced by Rusty Ward

Graphics by Ray Lux

Made by Kornhaber Brown (www.kornhaberbrown.com)

Linkages, pantographs and the weird and beautiful geometry of complex functions.

Further Resources:

http://www.math.cornell.edu/~mec/Winter2009/Marshall/TOC.html

http://www.math.uchicago.edu/~may/VIGRE/VIGRE2009/REUPapers/Mackevicius.pdf

http://www.math.toronto.edu/~drorbn/People/Eldar/thesis/default.htm

https://www.math.ucdavis.edu/~kapovich/EPR/link.pdf

Giant Drawing Machines by Nick Sayer

https://www.behance.net/gallery/18833343/Giant-Drawing-Machines

Pantographo Legal’s Cartoon Sketches

https://www.youtube.com/watch?v=Muic3yyhSv8

Thanks to Benjamin Houston-Edwards and Andrew Marshall

Comments answered by Kelsey:

NotaWalrus

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Joel Nordstrom

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Rob Nicolaides

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Dissecting Hypercubes with Pascal's Triangle | Infinite Series by PBS Infinite Series
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Complex Numbers
/youtube/video/XOzhF3QoTCA?t=67
f(z) = CZ
/youtube/video/XOzhF3QoTCA?t=222
f(z) = zz-1
/youtube/video/XOzhF3QoTCA?t=639
Dissecting Hypercubes with Pascal's Triangle | Infinite Series 114,942 views
/youtube/video/KYaCtHPCARc
PBS Infinite Series Mathematician Tai-Danae Bradley and physicist Gabe Perez-Giz offer ambitious content for viewers that are eager to attain a greater understanding of the world around them. Math is pervasive - a robust yet precise language - and with each episode you’ll begin to see the math that underpins everything in this puzzling, yet fascinating, universe. Previous host Kelsey Houston-Edwards is currently working on her Ph.D. in mathematics at Cornell University.
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