Jules Lissajous was born March 4, 1822. His doctoral studies were on vibrations of bars “using Chladni’s sand pattern method to determine nodal positions”. This method of viewing vibration patterns entails covering the object with flour or sand, and inducing vibrations, often by stroking with a violin bow (or in a modern lab using amplified sounds at variable frequencies). The vibrations cause the sand or flour to accumulate into a pattern, indicating nodes in the vibrations of the object, locations where the standing waves of the bar have least magnitude.

Lissajous died on June 24, 1880.

Mathematicians with birthdays or death anniversaries during the week of June 22 through June 28:

June 22: Birthday of Hermann Minkowski [1864] (mathematical foundations of space-time theories); death of Felix Klein [1925] (algebraic geometry)

June 23: Birthday of Alan Turing [1912] (foundations of computation)

June 24: Birthday of Oswald Veblen [1880] (geometry, topology); death of Jules Lissajous [1880] (visual study of vibration and sound)

June 25: Death of Alfred Pringsheim [1941] (analysis)

June 26: Birthday of Leopold Löwenheim [1878] (Löwenheim-Skolem Theorem); death of George Udny Yule [1951] (statistics)

June 27: Birthday of Augustus de Morgan [1806] (mathematical induction); deaths of Sophie Germain [1831] (number theory, elasticity) and Max Dehn [1952] (group theory)

June 28: Birthday of Henri Lebesgue [1875] (measure theory)

Source: MacTutor

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This entry was posted on June 22, 2008 at 5:34 pm and is filed under Featured Mathematician, History. You can follow any responses to this entry through the RSS 2.0 feed.
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June 22, 2008 at 5:38 pm |

Neat! One of my students made such a sand figure in class several years ago (sprinkling sand evenly on a metal plate and then whapping it with a violin bow). The resulting formation wasn’t as distinct as the picture above (and we ended up having to search all around the floor for a vacuum afterwards) but there was still a noticeable pattern.

June 22, 2008 at 6:02 pm |

If you use a TI eighty something to graph his figures, and let the coefficients go high enough (and relatively prime) then the nodes disappear, but you get wonderful pixel interference patterns.

(eg x = cos(106t), y = sin(129t)

They took away my calculator in my first school when I refused to teach kids to graph parabolas, but played with these instead!

I like this puzzle:

19th century mathematician Augustus De Morgan once said: “In the year I was

xyears old”I would ask what year he was born, except you probably just read the answer (just above)

Jonathan

June 27, 2008 at 2:47 pm |

Cool. We did a post about Lissajous functions a while back:

http://www.ptank.com/catsynth/index.php?entry=entry070622-134308

and of course we managed to find a photo featuring a cat