Exploring infinite realms

Abstract

Visualization has become useful not only to engineers and other professionals dealing with real-world problems but, in a comparably short span of time, to pure mathematicians. Obviously, when data are presented as animated color images, large quantities can be assimilated by the visual cortex, perhaps as much as several gigabytes of data every second. In terms of visualizing infinity, therefore, non-numeric methods are more applicable. In this article, it is shown that infinitudes of many sorts, i.e., purely mathematical or in chaotic dynamical systems, can be brought to stunningly beautiful life with computer graphics.