Saturday, March 24, 2012

Aspirational biography 1

Jules Antoine Lissajous
Another French mathematician from the 1800s. Came up with Lissajous Curves, which are parametric plots of two sine waves against each other; one on the x-axis, one on the y-axis. 


He illustrated these curves using a homemade "Lissajou apparatus"; a device that bounces a beam of light off a mirror attached to a vibrating tuning fork. The beam of light is then reflected again off of a second mirror attached to another tuning fork, perpendicular to the first. Usually the two tuning forks are an interval apart; and the resulting figure traced by the beam of light is a Lissajou curve. Fucking awesome.

a lot of other great stuff came out of this like:

lissajou knots

harmonographs


blackburn pendulums; 
a pendulum hung on a "v" shaped string, creating periodic motion in 2 degrees of freedum
which, incidentally, also traces lissajou curves:

spirographs

Precession as a form of parallel transport
maurer roses

fire poi

also the math seems pretty well developed

p.s. speaking of dreamachines, how great do these look?
pps who can make it first?

2 comments:

  1. http://boingboing.net/2012/03/24/a-pair-of-turntables-that-gene.html

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    1. "A device that draws figures based on a couple of periodic sources running at different multiples of the same frequency (and often a bit out of phase) is a harmonograph. http://en.wikipedia.org/wiki/H... They've got some lovely pendulum powered ones in the science museum in London. In Australia, the logo for the ABC, the government radio and television network, is a Lisajous figure, which is an example of the same." -Steve Taylor

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