# Latest Geometry Stories

In a study that elevates the role of entropy in creating order, research led by the University of Michigan shows that certain pyramid shapes can spontaneously organize into complex quasicrystals. A quasicrystal is a solid whose components exhibit long-range order, but without a single pattern or a unit cell that repeats. A paper on the findings appears in the Dec. 10 issue of Nature. Researchers from Case Western Reserve University and Kent State University collaborated on the study. Entropy...

LOS ANGELES, Sept. 28 /PRNewswire/ -- Hips & Curves, the California-based web company offering plus-size women fun, sexy lingerie and apparel, is launching a new version of their website to accommodate their growing customer base, and facilitate transactions, tracking and fulfillment. "While we love the increased traffic we've been getting, it became apparent that it was time to upgrade the site to improve front and back-end functionality," says Rebecca Jennings, CEO and...

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...

New research from the University of North Carolina at Chapel Hill School of Medicine finds that aerobic activity may keep the brain young.In the study published July 9 in the American Journal of Neuroradiology, physically active elderly people showed healthier cerebral blood vessels. Researchers led by Elizabeth Bullitt, M.D., Van L. Weatherspoon Distinguished Professor of neurosurgery, used non-invasive magnetic resonance (MR) angiography to examine the number and shape of blood vessels in...

A problem at the interface of two mathematical areas, topology and algebraic geometry, that was formulated by Friedrich Hirzebruch, had resisted all attempts at a solution for more than 50 years. The problem concerns the relationship between different mathematical structures. Professor Dieter Kotschick, a mathematician at the Ludwig-Maximilians-Universität (LMU) in Munich, has now achieved a breakthrough. As reported in the online edition of the journal Proceedings of the National...

Directing a driver's gaze results in smoother steering - Study may inform the next generation of in-car driving assistance systems Typically, drivers gaze along a curve as they negotiate it, but they also look at other parts of the road, the dashboard, traffic signs and oncoming vehicles. A new study finds that when drivers fix their gaze on specific targets placed strategically along a curve, their steering is smoother and more stable than it is in normal conditions. The study, "Driving...

The method to the madness of quasicrystals has been a mystery to scientists. Quasicrystals are solids whose atoms aren't arranged in a repeating pattern, as they are in ordinary crystals. Yet they form intricate patterns that are technologically useful.A computer simulation performed by University of Michigan scientists has given new insights into how this unique class of solids forms. Quasicrystals incorporate clusters of atoms as they are, without rearranging them as regular crystals do,...

MADRID, Spain (AP) - The Poincare conjecture involves topology, a branch of math that studies shapes. It essentially says that in three dimensions you cannot transform a doughnut shape into a sphere without ripping it, although any shape without a hole can be stretched or shrunk into a sphere. There is a catch: the space has to be finite. Imagine an ant crawling on an apple in a straight line. It can only walk so far before it's back where it started. Even though the apple has three...

Knowing how a mathematical theory developed improves a pupil's understanding of it. This is the conclusion of Dutch researcher Iris van Gulik, who investigated how the history of mathematics can help pupils to learn this subject. Van Gulik developed two teaching methods in which a mathematical theory was taught based on the history of its development. Firstly for 13 to 15-year-old high school pupils, geometry was introduced by studying 17th-century Dutch surveying in small groups. Secondly...

AMES, Iowa -- A genius well ahead of his time, Leonardo Da Vinci continues to inspire even 500 years after his remarkable life. His works are central to the best selling mystery novel The Da Vinci Code and its upcoming film adaptation, and his theories on friction are helping a group of scientists from the U.S. Department of Energy's Ames Laboratory and Lawrence Berkeley National Laboratory unlock the mystery of friction at the molecular level. In a nutshell, Da Vinci proposed that if...

## Latest Geometry Reference Libraries

Geometry is a branch of mathematics that is concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the geometry field is called a geometer. Geometry arose independently in numerous early cultures as a body of practical knowledge concerning areas, lengths, and volumes, with elements of a formal mathematical science emerging in the West as early as Thales. By the 3rd century BC, geometry was put into an axiomatic form by...

Trigonometry, from the Greek trigonon, meaning triangle, and metron, meaning measure, is a branch of mathematics that studies the relationships involving lengths and angles of triangles. The field came about during the 3rd century BC from applications of geometry to astronomical studies. The 3rd century astronomers first noted that the lengths of the sides of a right triangle and the angles between those sides have fixed relationships: that is, if at least the length of one of those sides...

In geometry, a polygon is traditionally a plane figure that is bounded by a finite chain of strait line segments closing in a loop to create a closed chain or circuit. These line segments are called edges or sides, and the points where two of these edges meet are the polygon’s vertices or corners. The inside of the polygon is occasionally called its body. An n-gon is a polygon with n sides. A polygon is a 2-dimensional instance of the more general polytope in any number of dimensions....

In Euclidean geometry, a rhombus, plural rhombi or rhombuses, is a simple quadrilateral whose four sides all have equal length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are the same in length. The rhombus is frequently called a diamond, after the diamonds suit in the playing cards, or a lozenge, though the former sometimes is in reference specifically to a rhombus with a 60 degree angle, and the latter occasionally is in reference specifically...

Geometric and Functional Analysis (GAFA) is a bimonthly published mathematical journal published by Birkhauser, an independent division of Springer-Verlag. GAFA was founded in 1991 by Mikhail Gromov and Vitali Milman. The idea for the journal was inspired by the long-running Israeli seminar series “Geometric Aspects of Functional Analysis (GAFA)” of which Milman was one of the main organizers. The journal retained the same acronym as the series to stress the connection between the two....

- The unit of magnetic flux density in the International System of Units, equal to the magnitude of the magnetic field vector necessary to produce a force of one newton on a charge of one coulomb moving perpendicular to the direction of the magnetic field vector with a velocity of one meter per second. It is equivalent to one weber per square meter.