宗传明与Jeffrey Lagarias获美国数学会2015年度Conant奖Jeffrey Lagarias and Chuanming Zong to Receive 2015 AMS Conant Prize

发布时间:2014-12-04

Wednesday December 3rd 2014

 

Jeffrey Lagarias of the University of Michigan and Chuanming Zong of Peking University will be awarded the 2015 AMS Levi L. Conant Prize at the Joint Mathematics Meetings in January in San Antonio, Texas. They are honored for their article "Mysteries in Packing Regular Tetrahedra" (Notices of the AMS, December 2012).

 

Finding the most efficient packing arrangements for various objects has long occupied the attention of grocers---who want to stack their oranges in as small a space as possible---and of mathematicians. Unlike spheres, cubes can be packed with perfect efficiency, filling out space without any gaps. More than 2000 years ago, Aristotle conjectured that another example of a space-filling figure is the regular tetrahedron, a four-sided object in which each side is an equilatral triangle. It took 1800 years for people to realize that Aristotle had been wrong. Ever since then, mathematicians have been searching for the most efficient ways to pack tetrahedra. In particular, in 1900 David Hilbert listed it as a part of his 18th problem.

 

One milestone came in 2006, when John H. Conway and Salvatore Torquato found a packing of regular tetrahedra that fills 72 percent of space. This packing was surprisingly loose: Was there a more efficient packing out there? This question stimulated a great deal of research, including work ofLagarias' doctoral student Erica Chen, who eventually found several packings that are denser. Despite these advances, no one knows how to construct the most efficient packing or exactly how efficient it would be. All we know for certain is that no packing of tetrahedra fills all of space.

 

The prize-winning article by Lagarias and Zong recounts this story, discussing the first glimmers of doubt about Aristotle's conjecture and working up to the advances that have occurred in the last ten years. Their article beautifully shows the drama and fascination of classical problems that reveal the exquisite intricacies of our world.

 

Part of this story was told in a New York Times article, "Packing Tetrahedrons, and Closing In on a Perfect Fit," by Kenneth Chang (January 4, 2010).

 

Presented annually, the Conant Prize recognizes the best expository paper published in either the Notices of the AMS or the Bulletin of the AMS in the preceding five years. The prize will be awarded at the Joint Mathematics Meetings, Sunday, January 11, 2015 at 4:25 PM, at the Henry B. Gonzalez Convention Center in San Antonio, Texas.

 

http://www.ams.org/

数学会奖项

华罗庚奖

华罗庚奖

华罗庚先生是我国著名数学家

华罗庚先生是我国著名数学家,他热爱祖国,献身科学事业,一生为发展我国的数学事业和培养人才做出了卓越贡献。

陈省身奖

陈省身奖

陈省身教授是一位国际数学大师

国际数学大师陈省身教授是美籍华裔数学家、中国科学院外籍院士。他非常关心祖国数学事业的发展,几十年来在发展我国数学事业、培养数学人才等方面做了大量工作。

钟家庆奖

钟家庆奖

钟家庆教授生前对祖国数学事业的发展极其关切

钟家庆教授生前对祖国数学事业的发展极其关注,并为之拚搏一生。为了纪念并实现他发展祖国数学事业的遗愿,数学界有关人士于1987年共同筹办了钟家庆基金,并设立了钟家庆数学奖,委托中国数学会承办。

扫描二维码关注数学会

关注微信

扫描二维码关注

京ICP备17012431号   京公网安备 110402430128号 版权所有:中国数学会  法律法规 | OA/ERP系统