Peter Kagey

Author: peterkagey

  • Vowel cascades

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    peterkagey

    I saw a post on Bluesky that proposed a problem that I had been thinking about for a long time! I figured that with the help of dictionary and a Python script, I could find the desired examples. One vowel Two vowels Three vowels Four vowels Python code Here’s my quick Python script to help…

  • Cube fractals

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    peterkagey

    Robert Fathauer’s fractal On May 16th, 2024, Robert Fathauer tweeted a wonderful timelapse video of building a white cube fractal, which you can see below. When I tried to learn more about this fractal, I found a Mathematica demo called “Shifting Cube Fractal”. I couldn’t get the demo to work quite properly, so I illustrated…

  • Saved video tweets (Part 4/4)

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    peterkagey

    As I discussed in Part 1, Part 2, and Part 3, I’m going through my old saved tweets and documenting them as I move to Bluesky (@peterkagey.com). Here are the last three of those tweets (all of which had video/GIF embeddings): Alison Martin packing Can anyone tell me more about the geometry of this? Let…

  • 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…