Fresh Mesh: A New Route To Smaller 3-D Files (June 17, 2004) -- A University of Southern California computer scientist has created a powerful and elegant algorithm to compress the large and ungainly files that represent 3-D shapes used in animations, video games ... > full story

The Trick Is In The Triangles: Speeding Up 3-D Computer Models (February 25, 1998) -- A Johns Hopkins computer scienctist has developed software that dramatically increases the speed at which 3-D computer graphics can be put in motion on-screen. A preliminary version of the software ... > full story

Crystals On A Ball: Researchers Attack 100-year-old Puzzle, Learn How A Single Layer Of Particles Can Pack On The Surface Of A Sphere (March 18, 2003) -- In a discovery that is likely to impact fields as diverse as medicine and nanomanufacture, researchers have determined how nature arranges charged particles in a thin layer around a sphere. The leap ... > full story

Plastic Surgery To The "Nines" (July 23, 2002) -- Beauty may well be in the eye of the beholder. But in the future it could be in the realm of mathematics. Steven G. Krantz, Ph.D., professor and chair of mathematics at Washington University in St. ... > full story

Seeking Perfection: Cornell Researcher Aims To Make Mirror Surfaces With Nary An Atom Exposed (March 23, 1998) -- Melissa Hines is a researcher in search of perfection. Her goal is a mirror surface on which not even a single atom is protruding above the surface. ... > full story

Panel Reports On State Of U.S. Mathematics -- Dominant Position Threatened, Report Says (May 19, 1998) -- A panel commissioned by the National Science Foundation's Division of Mathematical Sciences reports that several adverse trends threaten to undermine the United States' dominant position in world ... > full story

Pack Rat Middens Give Unique View On Evolution And Climate Change In Past Million Years (October 31, 2003) -- In one Colorado cave, a pack rat collection of teeth and bones has yielded a layered slice of vole history between 600,000 and a million years ago, providing an unprecedented picture of how a species ... > full story

Geometry Of Blood Vessels May Influence Heart Disease (September 4, 1998) -- The geometry of blood vessels may be a direct risk factor for developing cardiovascular disease, the cause of almost half the deaths in the United ... > full story

Strange Quasicrystal Alloys Spring Electronic Surprise On Researchers (August 16, 2000) -- An international team of scientists has demonstrated that the electronic states of the strange metal alloys known as quasicrystals are more like those of ordinary metals than theorists believed ... > full story

Boron Buckyball: Materials Scientists Find Stable, Spherical Form For Boron (April 26, 2007) -- A new study from Rice University predicts the existence and stability of another "buckyball" consisting entirely of boron atoms. The research shows a stable structure for a molecular sphere of 80 ... > full story

"The Internet" Is The Theme For Mathematics Awareness Week (April 1, 1997) -- Mathematics and the Internet is the theme for Mathematics Awareness Week 1997 which will be observed nationwide from April 20 - ... > full story

Trigonometry -- Trigonometry is a branch of mathematics which deals with triangles, particularly triangles in a plane where one angle of the triangle is 90 degrees (right triangles). Triangles on a sphere are also ... > full article

Hypotenuse of a right triangle -- The hypotenuse of a right triangle is the triangle's longest side; the side opposite the right angle. The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, ... > full article

Triangle -- A triangle is one of the basic shapes of geometry: a polygon with three vertices and three sides which are straight line segments. Any three non-collinear points determine a triangle and a unique ... > full article

Angle -- An angle is the figure formed by two rays sharing a common endpoint, called the vertex of the angle. Angles provide a means of expressing the difference in slope between two rays meeting at a vertex ... > full article

Antiprism -- An n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of triangles. Antiprisms are a subclass of the prismatoids. ... > full article

Hyperbolic geometry -- Hyperbolic geometry is a non-Euclidean geometry, meaning that the parallel postulate of Euclidean geometry is rejected. The parallel postulate in Euclidean geometry states (for two dimensions) that ... > full article

Tessellation -- A tessellation or tiling of the plane is a collection of plane figures that fill the plane with no overlaps and no gaps. One may also speak of tessellations of parts of the plane or of other ... > full article

Euclidean geometry -- Euclidean geometry is a mathematical well-known system attributed to the Greek mathematician Euclid of Alexandria. Euclid's text Elements was the first systematic discussion of geometry. It has been ... > full article

Symmetry in mathematics -- Symmetry in mathematics occurs not only in geometry, but also in other branches of mathematics. It is actually the same as invariance: the property that something does not change under a set of ... > full article

Probability theory -- Probability theory is the mathematical study of phenomena characterized by randomness or uncertainty. More precisely, probability is used for modelling situations when the result of an experiment, ... > full article