Latest Discrete geometry Stories

2010-11-16 22:16:13

A Princeton scientist with an interdisciplinary bent has taken two well-known problems in mathematics and reformulated them as a physics question, offering new tools to solve challenges relevant to a host of subjects ranging from improving data compression to detecting gravitational waves. Salvatore Torquato, a professor of chemistry, has shown that two abstract puzzles in geometry -- known as the "covering" and "quantizer" problems -- can be recast as "ground state" problems in physics....

2009-12-10 10:15:20

Two Kent State University professors are part of a team of researchers who recently uncovered a way to pack tetrahedra, considered to be the simplest shaped regular solids with its four triangular sides, more densely than ever before. Peter Palffy-Muhoray, professor of chemical physics and associate director of the Liquid Crystal Institute at Kent State, and Xiaoyu Zheng, assistant professor in Kent State's Department of Mathematical Sciences, along with four colleagues at the University of...

2009-11-11 09:31:31

A team of mathematicians from the Engineering and Architecture Schools of the University of Seville has created a method to design underground lines whereby a city's historical buildings are unaffected. The results of the study, which has just been published in the Journal of the Operational Research Society, offer possible solutions for the future underground line 2 in Seville. "The methodology applied seeks to minimize the length of underground lines -with the subsequent economic saving-...

2009-08-13 10:40:00

 Finding the best way to pack the greatest quantity of a specifically shaped object into a confined space may sound simple, yet it consistently has led to deep mathematical concepts and practical applications, such as improved computer security codes.When mathematicians solved a famed sphere-packing problem in 2005, one that first had been posed by renowned mathematician and astronomer Johannes Kepler in 1611, it made worldwide headlines.Now, two Princeton University researchers have...

2009-07-29 14:05:50

How many sweets fit into a jar? This question depends on the shapes and sizes of the sweets, the size of the jar, and how it is filled. Surprisingly, this ancient question remains unanswered because of the complex geometry of the packing of the sweets. Moreover, as any contestant knows, guessing the number of sweets in the jar is difficult because the sweets located at the center of the jar are hidden from view and can't be counted. Researchers at New York University have now determined how...

Word of the Day
  • The offense of persistently instigating lawsuits, typically groundless ones.
  • An unlawful breach of duty on the part of a ship's master or crew resulting in injury to the ship's owner.
  • Sale or purchase of positions in church or state.
This word ultimately comes from the Old French word 'barater,' to cheat.