SET is a card game centered around patterns and pattern recognition. An important part of the game is that SETs come in threes. One of SETâ€™s endgame scenarios involves being left with six cards containing no SETs at the end of the game. But, what if you were missing a card from your deck and you were left with only 5 cards at the end of the game? With 81 cards in the full deck and 1080 possible SETs, how will you ever figure out which card you are missing? In my MAT 380 talk on April 24, we will solve this End Game problem using some simple linear algebra and modular arithmetic. I hope to see all of you there!

# Solving the SET End Game Problem Using Modular Arithmetic

by Tarin Rietz | Apr 10, 2024 | Math Seminar, Spring 2024 | 5 comments

I am so excited to see your talk on April 24th. I am sure my friends are upSET that they will not be able to see the talk. Linear Algebra is a tough topic with many different applications. I am glad we will be able to review a real world application of linear algebra!

I am very excited about your talk, Tarin! I have always not been good at any card games but looking at how you will be bringing some linear algebra and moduler arithmetic to this is even more interesting.

Your topic sounds so interesting. You posed a lot of intriguing questions in you blog post and I can not wait for you to go into depth on your topic while answering the questions that you have posed. I can not wait to be on the edge of my seat while you amaze the class with you talk!!

I am really excited for your talk this week! Your blog post sounds very intriguing! I have never heard of the game before but I am interested to see how Linear Algebra can help solve the end game problem.

I thought your talk was very good Tarin! I had never heard of the game before but I definitely want to play it (especially now that I know how to cheat, although I can’t see myself doing those calculations during the game). I really think you broke the concepts down nicely and they were easy to understand!