As a child, I was, for a very long time, quite interested in the art of origami (Japanese paper folding), so much so that I dedicated a good part of my time to learning new techniques and hoarding origami paper. Because of this, I chose to revisit the topic of origami for my MAT 480 Seminar talk.

In my talk I will be discussing the ways that origami can be employed by mathematicians to augment (in some ways) the capabilities of traditional Euclidean geometric constructions (which use a compass and straightedge). I will explore how origami constructions (by way of the “origami number”) form a field closed over the square root operation and I will expand upon this by offering an additional origami construction that makes it possible to calculate the cubed root–an operation that is impossible in standard Euclidean constructions, making it possible to solve the famous cube doubling problem (doubling the volume of a cube through constructions).

The talk will be held on May 5th, 2021 at 3:00pm via the MAT 480 zoom (https://canisius.zoom.us/j/95010785745) and will be available online afterwards at a link announced later.

I hope to see you all there!

The presentation can be accessed anytime at: https://youtu.be/XZlzaWQP9MI

The additional writeup showing the construction of an arbitrary angle trisection and the solution to the doubling the volume of a cube problem can be accessed here: https://corycherven.com/content/Mathematics_of_Origami_Writeup.pdf

This felt like a true work of passion for you. It was easy to see how much thought you put into this. I’d be lying if I said I was able to keep up with the math the whole time, so I went back and watched a couple parts of the video again. This gets pretty complex, man. But it is super interesting. Anyway, great job. You clearly put a ton of work into this. It really shows. Best of luck after graduation and all of that stuff!

Great job! I was sad to miss the last section of it, but it is clear you put a lot of time and energy into this presentation, which resulted in a fun application of mathematics with details that we were able to follow along with, if not completely understand. Good luck post graduation!

Hi Cory! Your presentation was absolutely stellar! It was evident how much work you put into this presentation. You did an amazing job of presenting, especially considering you had to record it. I feel like I would have messed up a lot on the recording, especially if I had to try and draw all of those pictures and diagrams like you did. You were so calm while presenting, and it almost felt like all of the information, despite involving a lot of very complex math ideas, was second nature to you because you just knew it so well. It was super impressive! Origami was such an interesting topic! I never thought about all of the constructions that could be done. All of the pictures and drawings you included really helped to clarify your main points. Absolutely amazing job! Congrats on an amazing presentation, and on all of the hard work that has finally brought you to graduation!

Hey Cory! You did a great job on your presentation. You put a lot of effort into your presentation that I can see when you were explaining what is origami was? It was an interesting topic, although I am not familiar with Japanese origami. However, it was a well informative presentation. Thank you for constructing and drawing the pictures in your presentation because it helps me a lot. Looking forward to your future achievement. Good luck after graduation.

Excellent job on your presentation. It really shows that you put a lot of thought and work into this presentation. It’s really impressive that you were able to do all of this work with your busy schedule being a triple major and all. I really liked the parts where you drew what lines would form when folding the paper. It made it easier for me to follow along. It’s really difficult to get the idea of origami if you are just trying to form a picture of it all in your head. Good luck after graduation.