Seminar Details
Continued Fractions and the 4-Color Theorem
- Start Date: December 15, 2022
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Seminar Series: Experimental Math Seminar
- Presenter(s): Richard Evan Schwartz - Brown University
- Event Location: Online Event
- Event Additional Info: <p>Presented Via Zoom: <a href="https://rutgers.zoom.us/j/94346444480">https://rutgers.zoom.us/j/94346444480</a></p> <p>Password: 6564120420</p> <p>For further information see: <a href="https://sites.math.rutgers.edu/~zeilberg/expmath/">https://sites.math.rutgers.edu/~zeilberg/expmath/</a></p>
- Presentation Type: Stand Alone Presentation
- Abstract:
Starting from one of the well-known reformulations of the 4-color theorem, I'll show some experiments I did concerning proper 4-colorings of the sphere triangulations in which the maximum number of triangles around a vertex is 6. I haven't made much progress on understanding all the solutions but I will show off a nice infinite family that gives a novel geometric interpretation of continued fractions.
Link to video: https://vimeo.com/783464064