Peter Kagey

Author: peterkagey

  • Saved video tweets (Part 3/4)

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    peterkagey

    As I discussed in Part 1 and Part 2, I’m going through my old saved tweets and documenting them as I move to Bluesky (@peterkagey.com). Here are four (secretly five!) of those tweets (all of which had video/GIF embeddings): Rafael Araujo with geometric art I think this could be an interesting problem to have multivariable…

  • Saved video tweets (Part 2/4)

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    peterkagey

    As I discussed in Part 1, I’m going through my old saved tweets and documenting them as I move to Bluesky (@peterkagey.com). Here are four of those tweets (all of which had video/GIF embeddings): Matt Henderson on triangle center fractal I didn’t know it at the time, but this Tweet would become the basis of…

  • Saved video tweets (Part 1/4)

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    peterkagey

    As I discussed previously, I’m going through my old saved tweets and documenting them as I move to Bluesky (@peterkagey.com). Here are four of those tweets (all of which had video/GIF embeddings): Peter Huxford on a cubic curve determined by 9 points I posted about this demo on Bluesky. My guess is that it is…

  • Some Saved Tweets

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    peterkagey

    I’ve been off Twitter for a while now, but I thought it would be useful to archive my saved posts somewhere. Here are a subset of my saved posts, which I think are mostly self-explanatory.

  • An M.C. Escher-inspired poster

    An M.C. Escher-inspired poster

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    peterkagey

    I wanted an excuse to use Harvey Mudd’s large format printer, so I made a movie-sized (27″×40″) poster for my office based on the second term of OEIS sequence A368138(n): \(A368138(2) = 154\). The idea here is that you have a a collection of tiles like , which you can rotate and mirror; you then…

  • Triangle Center Patterns

    Triangle Center Patterns

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    peterkagey

    I made a video that illustrates a particularly interesting “discrete state random dynamical system,” which was inspired by a Tweet (and a mistake) that I saw. First, be hypnotized by this video, which I recommend you watch in 4K, and then scroll down to read about the inspiration and the cool math going on under…

  • How to Make Animated Math GIFs: LaTeX + TikZ

    How to Make Animated Math GIFs: LaTeX + TikZ

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    peterkagey

    The first animated GIF that I ever made was made with the LaTeX package TikZ and the command line utility ImageMagick. In this post, I’ll give a quick example of how to make a simple GIF that works by layering images with transparent backgrounds on top of each other repeatedly. TikZ code In our first…

  • XOR Triangles

    XOR Triangles

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    peterkagey

    In this post, I’ll explore the math behind one of my Twitter bots, @xorTriangles. This bot was inspired by the MathOverflow question “Number triangle,” asked by user DSM posted in May 2020. (I gave an overview of my Twitter bots @oeisTriangles in my post “Parity Bitmaps from the OEIS“. And if you want to build…

  • Robot Walks

    Robot Walks

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    peterkagey

    I’ve gotten a lot of mathematical inspiration from Project Euler questions, but perhaps the question that has gotten me thinking the most is Project Euler Problem 208: Robot Walks. In this problem, a robot takes steps either to the right or the left, and at each step, it turns \(\frac 15\) of the way of…

  • Pour Le Science and the anti-Sum-Product Problem

    Pour Le Science and the anti-Sum-Product Problem

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    peterkagey

    In March 2021, I got an out-of-the-blue email from OEIS editor Michel Marcus which totally delighted me. He wrote: This afternoon I went to the library.And I was browsing “Pour La Science” the French version of the Scientific American.And here is what I saw. I like the mysterious tone. He included this photo of an…