With the new semester, I want to try to actually live up to the second half of the purpose of this website. Yes, the primary purpose is to provide a location for you to find homework assignments that you missed, project deadlines that you’ve forgotten, and upcoming test dates that you do not yet know, but the name of my website is “Assignments *and Mathematical Musings*.” And while there has been a copious amount of the former, there has been none of the latter. I hope to, as regularly as I can, fix that. These posts will contain interesting mathematical tidbits that I will try to write so that all of my students could enjoy. If I encounter an interesting or significant news article, I might write about it here. If I come across a fun puzzle or nifty proof of an easy-to-understand idea, I’ll try to share it. If you find something that you think I might think interesting, please send it along and I’ll give you the proper credit.

***Please note: For those math super fans who may be reading these posts, remember that their intended audience is high school math students in 9th-12th grade. I will try to be mathematically accurate in all of my posts, but I may “fudge” some things here and there for the sake of clarity. If I make an egregious error, please call me on it, but otherwise permit me a bit of poetic license, as it were.*

For my first post, I want to discuss the significance of the picture below, an example of a proof without words.

No, that isn’t a gong being suspended from the floor with weird ray beams coming out of it. I’ll explain what it actually is shortly, but first I want to talk about infinity.