Seminar Details
Partitioning a Square into Similar Rectangles
- Start Date: March 30, 2023
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Seminar Series: Experimental Math Seminar
- Presenter(s): George Spahn - Rutgers 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> <p> </p>
- Presentation Type: Stand Alone Presentation
- Abstract:
OEIS Sequence A359146 gives the number of different aspect ratios that are possible when partitioning a square into n similar rectangles. We will discuss several algorithms that have been used to compute the first few terms of this sequence and see a theoretical result that connects the problem to continued fractions. As a fun challenge to do before the talk, you can try to compute a(3), the number of different ratios that are possible when dividing up a square into 3 similar rectangles (not necessarily of the same size).
Link to video: https://vimeo.com/814661779