Graphs of complex functions lie in C², which can be identified in a natural way with R⁴, real four-dimensional space. Placing these graphs within a four-dimensional hypercube and looking at projections of both can lead to new understanding of the complex functions. In this article, the authors develop a scheme for navigating the various three-dimensional projections of these surfaces, using the projections of the four-dimensional hypercube as a guide. Animations assist the reader to better understand the structure of complex graphs in four-space.

• Table of Contents.
• Updates (as of 6 July 1998).
• Responses by readers of this article.

• Annotated Bibliography of background and related material.
• Citations that refer to this article.

• Editor's Note

Keywords:

complex function, projection, four-space, inverse function, hypercube

MR Review: MR number will go here
MR Classification: 30F99