Peter Kagey

Category: Uncategorized

  • Hexagons in Triangles

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    peterkagey

    At the beginning of April, I posted two animations related to hexagons inscribed inside of an equilateral triangle. Here I discuss a bit about the origin of these animations and give code so that you can reproduce these on your own. Gathering 4 Gardner gift exchange I first stumbled across this idea at the beginning…

  • G4G15 gift exchange: Parity Triangles from the OEIS

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    peterkagey

    In February 2024, I attended the Gathering 4 Gardner in Atlanta (G4G15), which has a tradition of a gift exchange, where you bring 170 copies of a small gift, and in turn you get a small gift from all of the exchange participants. One of these gifts, a set of 3D-printed fractals from Hideki Tsuiki…

  • Yan Zhang on power and Conway

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    peterkagey

    You know that feeling when someone expresses a feeling that you have better than you ever could figure out how to articulate it? While archiving my old liked tweets, I noticed that Yan Zhang had done it. Twice. I wanted to make sure that I copied these notes down so that I could still reference…

  • LEGO Truchet

    LEGO Truchet

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    peterkagey

    In the process of going through my old saved tweets as I transition away from Twitter, I saw this tweet from Dave Richeson who is now posts on Bluesky as @divbyzero.bsky.social. About one year after this, I made a LEGO Truchet tiling for Dave, not realizing that I had probably been unconsciously inspired by his!…

  • “A beautiful little problem!”

    “A beautiful little problem!”

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    peterkagey

    I’ve been going through my old Twitter saves, when I came across this one which was no longer available, but which intrigued me! The post is now gone from Twitter, but I found it via the WaybackMachine. Prove that if all the coefficients of the quadratic equation \[ax^2 + bx + c = 0\] are…

  • Hinged stellated dodecahedron

    Hinged stellated dodecahedron

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    peterkagey

    One of the earliest laser cutting projects I ever considered was when I was a graduate student: making a stellated dodecahedron. When I got to Harvey Mudd College and had the opportunity to use the laser cutter in the Makerspace for the first time, it was one of the first things I attempted. My initial…

  • JMM Exhibition of Mathematical Art

    JMM Exhibition of Mathematical Art

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    peterkagey

    I was going through some old saved tweets during my move to Bluesky, and my favorite tweets to come across were those that mean something different to me know than they did when I saved them. In particular, this tweet from 2021 shows that 2021 JMM Exhibition of Mathematical Art catalog, and little did I…

  • Vowel cascades

    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…