I am not entirely sure about the details but thought I would share...(adsbygoogle = window.adsbygoogle || []).push({});

Link to Press Release:

http://www.eurekalert.org/pub_releases/2008-03/icl-1yo030308.php

A problem, the Schwarz-Christoffel formula which has defeated mathematicians for almost 140 years has been solved by a researcher at Imperial College London.

More detail:

he Schwarz-Christoffel mapping maps a suitably "nice" (such as the interior of the unit circle, or the upper half plane) region of the complex plane (numbers of the form x+iy, mapped as (x,y) in cartesian coords, where i^2 = -1) to the interior of a general polygon (in the complex plane) in a conformal manner (angles are preserved). However, the polygon must be "simply connected" (any loop can be smoothly shrunk to a point, without getting "caught" around a hole); a few "multiply connected" polygons were possible, but not in the general case. Now it appears the formula can be extended to include polygons that include such a hole (such as perhaps the area outside a small square, but inside a larger one), to be mapped to some member well-described family of regions like the exterior of several unit disks

http://sinews.siam.org/old-issues/2008/januaryfebruary-2008/breakthrough-in-conformal-mapping [Broken]

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# 140 year old math problem SOLVED!

Can you offer guidance or do you also need help?

**Physics Forums | Science Articles, Homework Help, Discussion**