Meta-Complex Numbers

Abstract

This project investigates the visualization of functions of the complex numbers, dual numbers, and split-complex numbers.

(Belated) October 24, 2014 - Implemented full functionality for complex and dual number classes; the split-complex number class is nearing completion. Got C++/OpenGL programs to compile and run on Cygwin.
October 31, 2014 - Gave my seminar on the meta-complex numbers. Implemented functionality to graph a function of two real variables in three dimensions and rotate it along the x, y, and z axes.
November 7, 2014 - Began work on a Graph class to encapsulate attributes of the graph and plotting/rotation functionality.
November 14, 2014 - Finished preliminary version of the Graph class. Graphs can now be rotated in four-dimensional space. To run the program, the executable must be called from within an instance of an X server (XWin on Cygwin). At the moment, functions are only graphed for inputs ranging from (-0.5, -0.5) to (0.5, 0.5).
December 5, 2014 - User interface is in progress. Basic instructions are displayed on the animation and a rudimentary bounding cube has been added to the plot.