Enjoy the posters made by our team members for the math festival!!!Project 1:  Made by Simon Meng (CO '27), the Klein bottle is a fascinating geometric shape (on top of being our duck mascot's shape!), so learn all about it here! Simon even took the time to 3-D print a cross-section view of the Klein bottle so that you can see it better. If you want to take a look at the 3-D model, come to 4203 during one of our meetings that happen in Orange Lion blocks to ask for it! Project 2: Aren't Mandelbrots sets absolutely stunning? Well, with Edison Xiong (CO '27), explore them in his poster! Project 3: Most of us have played the Tower of Hanoi game before, so Joshua Park (CO '27) dives deep into the winning strategies for how to win this deceptively simple game :) Project 4: Made by Mina Farshi (CO '26), this amazing Neutral Network graph and its components are comprehensively explained in her poster! Project 5:  Euler's Totient Function is incredibly complex, but Jared Mi (CO '26) clarifies this massively with his detailed explanation of how it works, with even a graph of a seemingly pure number theory question to clear it up!
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Initiated and managed by captain Jasper He and under the guidance of our teacher-in-charge Mr. Charles Petrizzi, Math Team held our very first Math Festival on the 10th June, where our members exchanged poster presentations on various concepts that we did our reserach on! It was held at the Cafeteria during Lion Block, and our posters included topics varying from the Tower of Hanoi to the Klein Bottle, our mascot :D  Here are some photos from our festival of our members explaining their posters!    Welcome to the first installment of Theorem Trivia, where we routinely share interesting theorems that are great to know when solving Math Olympiad problems! Today, we are starting things off with a neat modular arithmetic theorem!  Here are some links to check this theorem out in more depth if you are interested:
https://artofproblemsolving.com/wiki/index.php/Euler%27s_Totient_Theorem https://www.math.cmu.edu/~mlavrov/arml/12-13/number-theory-11-11-12.pdf  Are any of these statements equivalent or derived from each other?
And how did we derive the long addition sequences? Leave your responses below as a comment! |
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