Henry Segerman is one of the leading figures in the new world of math and 3D printing. He is an assistant professor of Mathematics at Oklahoma State University. On Friday, February 19, Dr. Segerman will present “How to Make Sculptures of 4-Dimensional Things” at 5:30 in Olin 114.
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 sculptures, puzzles, and virtual reality experiences that have come from thinking about these things.
This lecture is sponsored by the Ronneberg Lecture Series and the Department of Math and Computer Science.