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Dr. Matrix at the Scientium: Mathematics Links (Site not responding. Last check: 2007-10-22) |
 | | The mathematical basis for the Mercator projection is an 1851 law of geometry known as the Riemann mapping theorem (although the 16th-century cartographer himself wasn't aware of it, of course). |
 | | Within a few minutes, several algorithms convert the surface of the brain into a network of thousands or even millions of cortical points (the number depends on the size of the area to be flattened), each connected to its nearest neighbors by lines. |
 | | Applying the theorem to the brain may sound easy enough, but there is one problem, Hurdal notes: the triangles that represent the surface of a brain are not lying flat, so the touching circles will stick out. |
| www.drmatrix.scientium.com /sciences/math.htm (1402 words) |