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Seminar Details

Padovan, Pascal, and Proofs Without Words

  • Start Date: March 4, 2021
  • Event Start Time: 5:00 PM
  • Event End Time: 6:00 PM
  • Seminar Series: Experimental Math Seminar
  • Presenter(s): David Nacin - William Patterson University
  • Event Location: Online Event
  • Event Additional Info: <p>Presented via Zoom:&nbsp;<a href="https://rutgers.zoom.us/j/94346444480">https://rutgers.zoom.us/j/94346444480</a></p> <p>&nbsp;</p> <p>password:&nbsp;6564120420</p>
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    What happens when we attempt to construct the Fibonacci spiral with triangles instead of squares? We get a new sequence, the Padovan sequence, which answers its own collection of unique and beautiful counting problems. In this talk we will show how this construction defines this sequence and then rediscover the same sequence hiding again in other surprising places. We then prove several identities without using either words or numbers, by considering triangles composed of colored dots.