Jeffrey Vanke: Difference between revisions

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'''George Phillips Odom, Jr''' (born 1941) is an American artist and amateur geometer, who is primarily known for his work on the [[golden ratio]] (<math>\Phi</math>).
Marie Antoinette, the ill-fated last queen of France, once declared that she wanted to be the most fashionable woman in the world.<br><br>


==Life and work==
The world is a much wider place in 2014 than it was in 1789, when cherie Marie was carted off to the Conciergerie and uncertain doom. But, with the latest round of spring/summer 2015 shows, Paris is asserting its reign across the world of la mode.<br><br>Nobody - and nowhere, it seems - does it better.<br>Why? Because Paris is bubbling with ideas. Some we�ll want to wear - like much of Phoebe Philo�s spring C�line collection, with its ruffled and printed pastoralism and fringy-frayed craftiness. Others, we won�t, at least not so readily.<br>Rei Kawakubo�s formidable Comme des Garcons show, inspired by �blood and roses� and transforming her models into perambulating contemporary art installations drenched in single shades of riding-hood red, was aggressively, anarchically unwearable<br><br>
Odom garnered some recognition early in his career for his light machines made from fibre optics, that he exhibited at the ''Knoll International Gallery'' in [[Manhattan]] in the 1960s. Later his career faltered somewhat and he could not repeat his early success. Odom suffered from depressions which ultimately culminated in a suicide attempt and a subsequential hospitalization at the ''[[Hudson River Psychiatric Center]]'' in [[Poughkeepsie, New York|Poughkeepsie]], where he became a permanent resident since the early 1980s.<ref name="roberts"/><ref name="schattschneider"/>
Front row at Paris Fashion Week spring/summer 201<br>
And who knows what will end up in shops from Jean Paul Gaultier�s show on Saturday night, his last ever ready-to-wear collection after 39 years in the game? It was a great show - staged as a beauty pageant, of mostly greatest hits. Both were bold statements<br><br>
The clothes didn�t really matter<br>
The clothes matter, enormously, at C�line. Last year the brand made record sales and while its owner [http://Www.Alexa.com/search?q=Bernard&r=topsites_index&p=bigtop Bernard] Arnault�s LVMH conglomerate does not release information on their labels� individual returns, the performance was described by the group as �remarkabl<br><br>


[[File:Odom.svg|thumb|upright=1.2|<center>problem E2007 (Odom, 1983)</center><br/> <center><math>\tfrac{|AB|}{|BC|}=\tfrac{|AC|}{|AB|}=\Phi</math></center>]]
That�s based on Phoebe Philo�s knack of nailing what women want to we<br><br>
Odom became interested in geometry after visiting an exhibition by [[Buckminster Fuller]] in the 1960s. In the mid 1970s he contacted the Canadian geometer [[Harold Scott MacDonald Coxeter|Coxeter]] as he felt his art work was of some mathematical interest as well. This led to longtime correspondence with Coxeter and another mathematician father Wenniger, a monk from Minnesota, that spanned over several decades. The two mathematicians became one of Odom's few remaining regular contacts to outside world, after he had moved to the ''Hudson River Psychiatric Center'', where he led a rather isolated life otherwise. Their correspondence was not only about mathematical topics, but it comprised matters of philosophy, psychology, religion and world affairs as well. In mathematics Odom was particularly interested in various geometric shapes and the golden ratio. He discovered the occurrence of golden ratio in a few elementary geometrical figures, where it had not been noticed before. The two mathematicians communicated Odom's results to other people in their lectures and conversations, and Coxeter incorporated them into some of his publications as well. Best known of these is the construction of the golden ratio with the help of an [[equilateral triangle]] and its [[circumcircle]]. Coxeter posed Odom's construction in the form of a problem, that was published 1983 in the [[American Mathematical Monthly]] as problem #E2007:<ref name="roberts"/><ref name="schattschneider"/>


:''Let A and B be midpoints of the sides EF and ED of an equilateral triangle DEF. Extend AB to meet the circumcircle (of DEF) at C. Show that B divides AC according to the golden section''<ref name="schattschneider"/>
It�s legendary: her latest successor at Chloe, Clare Waight Keller, is still somewhat in the shadows of Philo�s phenomenal success sto<br>.
The floaty georgette dresses, blouses and denim shorts were neat, but felt a little like left-overs from Philo�s glory years. Shoes oscillated between middling height and dead flat, which matched the mood of the show overa<br><br>


[[File:Odom2.svg|thumb|upright=1.2|<center><math>\tfrac{|AE|}{|AF|}=\tfrac{|EF|}{|AE|}=\Phi </math></center>]]
Philo is a tough act to follow - even when she�s following herself. That�s because she�s lead the march into uncharted territories - her spring/summer 2010 C�line debut, for instance, which ignited a Minimalist revival in fashi<br>.
[[File:Odom cube2.svg|thumb|upright=1.0|<center><math>\tfrac{|AC|}{|AB|}=\tfrac{|AB|}{|BC|}=\Phi </math></center>]]
Her spring offering was somewhat quieter, less bold and a little less fulfilli<br><br>
Odom also found another construction of the golden ratio, that is based on an equilateral triangle:


:''Consider an equilateral triangle ABC with its altitude from C onto AB. Let D be the pedal point of the altitude on AB. Now extend the altitude CD beyond D by |BD| and denote the endpoint of the extension with E. The ray EA intersects the circle around D with radius |CD| in F and A divides now EF according to the golden section.''<ref name="schattschneider"/>
Oddly, Marie Antoinette was who I thought about when the C�line models trod out in dropped flounces splurged with florals, fluttering lappets of fabric and tattered he<br>.
Those have been seen just about everywhere: [http://www.pcs-systems.co.uk/Images/celinebag.aspx Celine Bag Sale] took it a bit further, looping thread into a mammoth woolly fringe along the hems of skirts and slender to<br><br>


Odom used 3-dimensional geometrical shapes in his artwork, which he examined for occurrences of the golden ratio as well. There he discovered two simple occurrences in [[platonic solid]]s and their circumscribed spheres.
They reminded me of la reine and her cohorts playing at milkmaids in her ferme orn�e. There were even a few cowbells clanging from bags, and string bel<br>.
It chimed with the folksy, Seventies feel that has been emerging across the season as a whole - swaying fraying and billowy florals underlined by flared trousers and tugged-waist jackets stiffly outlined with topstitchi<br><br>


For the first one you connect the midpoints A and B of 2 edges of a [[tetrahedron]] surface and extend them one side so that the extended line intersects the circumscribed sphere in C, then B divives AC according to the golden section. This construction also yields the situation of problem #E2007 from above, if one cuts this 3-dimensional figure along the plane in which the tetrahedron surface is embedded.<ref name="schattschneider"/>
Philo placed her own slant on it, sure. But rather than defining, this was a refining collection, underlining stories other designers had already begun to te<br>.
 
From a queen of fashion, you hoped for more leadership.
The second occurrence is in a cube. If you connect the centers A and B of any two cube surfaces and extend them again, such that the extended line intersects the circumscribed sphere in C, then B will divide AC according to the golden section.<ref name="schattschneider"/>
 
The [[Princeton University|Princeton]] mathematician [[John Horton Conway]] visited Odom in Poughkeepsie in 2007.<ref name="roberts"/>
 
==References==
{{reflist|refs=
<ref name="roberts">Siobhan Roberts: [http://www.walrusmagazine.com/articles/2007.04-field-notes-cubic-connection/ ''Cubic Connection'']. In ''The Walrus'', April 2007</ref>
<ref name="schattschneider">[[Doris Schattschneider]]: ''Coxeter and the Artists: Two-way Inspiration''. In Harold Scott Macdonald Coxeter (ed.), Chandler Davis (ed.), Erich W. Ellers (ed.): ''The Coxeter Legacy: Reflections and Projections''. [[American Mathematical Society|AMS]] 2006, ISBN 0-8218-3722-2, pp. 268-270 ({{Google books|cKpBGcqpspIC|online copy|page=268}})</ref>
}}
 
{{DEFAULTSORT:Odom, George}}
[[Category:1941 births]]
[[Category:Living people]]
[[Category:American artists]]

Latest revision as of 21:30, 9 February 2014

Marie Antoinette, the ill-fated last queen of France, once declared that she wanted to be the most fashionable woman in the world.

The world is a much wider place in 2014 than it was in 1789, when cherie Marie was carted off to the Conciergerie and uncertain doom. But, with the latest round of spring/summer 2015 shows, Paris is asserting its reign across the world of la mode.

Nobody - and nowhere, it seems - does it better.
Why? Because Paris is bubbling with ideas. Some we�ll want to wear - like much of Phoebe Philo�s spring C�line collection, with its ruffled and printed pastoralism and fringy-frayed craftiness. Others, we won�t, at least not so readily.
Rei Kawakubo�s formidable Comme des Garcons show, inspired by �blood and roses� and transforming her models into perambulating contemporary art installations drenched in single shades of riding-hood red, was aggressively, anarchically unwearable

Front row at Paris Fashion Week spring/summer 201
And who knows what will end up in shops from Jean Paul Gaultier�s show on Saturday night, his last ever ready-to-wear collection after 39 years in the game? It was a great show - staged as a beauty pageant, of mostly greatest hits. Both were bold statements

The clothes didn�t really matter
The clothes matter, enormously, at C�line. Last year the brand made record sales and while its owner Bernard Arnault�s LVMH conglomerate does not release information on their labels� individual returns, the performance was described by the group as �remarkabl

That�s based on Phoebe Philo�s knack of nailing what women want to we

It�s legendary: her latest successor at Chloe, Clare Waight Keller, is still somewhat in the shadows of Philo�s phenomenal success sto
. The floaty georgette dresses, blouses and denim shorts were neat, but felt a little like left-overs from Philo�s glory years. Shoes oscillated between middling height and dead flat, which matched the mood of the show overa

Philo is a tough act to follow - even when she�s following herself. That�s because she�s lead the march into uncharted territories - her spring/summer 2010 C�line debut, for instance, which ignited a Minimalist revival in fashi
. Her spring offering was somewhat quieter, less bold and a little less fulfilli

Oddly, Marie Antoinette was who I thought about when the C�line models trod out in dropped flounces splurged with florals, fluttering lappets of fabric and tattered he
. Those have been seen just about everywhere: Celine Bag Sale took it a bit further, looping thread into a mammoth woolly fringe along the hems of skirts and slender to

They reminded me of la reine and her cohorts playing at milkmaids in her ferme orn�e. There were even a few cowbells clanging from bags, and string bel
. It chimed with the folksy, Seventies feel that has been emerging across the season as a whole - swaying fraying and billowy florals underlined by flared trousers and tugged-waist jackets stiffly outlined with topstitchi

Philo placed her own slant on it, sure. But rather than defining, this was a refining collection, underlining stories other designers had already begun to te
. From a queen of fashion, you hoped for more leadership.

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