N-Dimensional Visualization Through Raytracing

As far as our eyes can tell, we live in a three-dimensional world. Visualizing three-dimensional shapes comes naturally to us. But, not all of the mathematical objects we wish to understand are three-dimensional.

Trying to picture a 600-cell is not easy for most of us. However, calculating the intersection of a 600-cell with a line of sight is straightforward.

The presenter has developed a raytracer which can operate in any number of spatial dimensions. This presentation will show:

• the capabilities of the raytracer
• renderings of spheres, cylinders, quadratic surfaces, and regular polytopes in two, three, four, and five dimensions
• visualizations of multivariate functions and other interesting, extra-dimensional objects

Click here for software developed by the presenter, including the raytracer used to generate the images for his talk.

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