Lecture – Henry Segerman

Oklahoma State University
Tuesday, April 18 – 4:30 pm
Room; Physics 130
Title: 3D Shadows: Casting light on the fourth dimension
Abstract: Our brains have evolved in a three-dimensional environment, and so
we are very good at visualising two- and three-dimensional objects. But what
about four-dimensional objects? The best we can really do is to look at
three-dimensional “shadows”. Just as a shadow of a three-dimensional object
squishes it into the two-dimensional plane, we can squish a four-dimensional
shape into three-dimensional space, where we can then make a sculpture of
it. If the four-dimensional object isn’t too complicated and we choose a
good way to squish it, then we can get a very good sense of what it is like.
We will explore the sphere in four-dimensional space, the four-dimensional
polytopes (which are the four-dimensional versions of the three-dimensional
polyhedra), and various 3D printed sculptures, puzzles, and virtual reality
experiences that have come from thinking about these things. I talk about
these topics and much more in my new book, Visualizing Mathematics with 3D
Printing.Note that he will be giving another talk at Geometry/Topology seminar on
April 17 at 3:15pm. Moreover, his book will be available at Duke Gothic
bookstore during his visit to Duke.Please spread the word. For more info on PLUM, visit

This entry was posted on Friday, January 27th, 2017 at 1:19 pm and is filed under Uncategorized. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

Leave a Reply

Your email address will not be published. Required fields are marked *