Interactive methods for visualizable geometry

Abstract

Interactive computer graphics can provide new insights into the objects of pure geometry, providing intuitively useful images, and, in some cases, unexpected results. Interactive computer graphics systems have opened a new era in the visualization of pure geometry. We demonstrate the fruitful relationship between mathematics and the discipline of computer graphics, emphasizing those areas of low-dimensional geometry and topology where interactive paradigms are of growing importance.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>