Peter Kagey
@peterkagey.com
220 followers 180 following 220 posts
Maker, Educator, Mathematician | Assistant Professor at Cal Poly Pomona “My interests include music, science, justice, animals, shapes, feelings” —Lisa Simpson Creator of @oeistriangles.peterkagey.com.
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Made poutine tonight to celebrate 🇨🇦
Fixed both of them—thanks for letting me know!
Reposted by Peter Kagey
If you work for ICE, you should quit.
Triangle read by rows giving Whitney numbers [of the second kind] T(n,k) of Fibonacci lattices.

en.wikipedia.org/wiki/Matroid...
OEIS sequence A079487 by N. J. A. Sloane (January 2003).

(Even terms are drawn as dark hexagons and odd terms are drawn as light hexagons.)
OEIS triangle for sequence A079487.
Reposted by Peter Kagey
There's a nice article by Siobhan Roberts about the Bridges 2025 conference in Eindhoven in the NY Times. I can now say that I am in The NY Times! (A photo credit for the shot of Chaim Goodman-Strauss and Edmund Harriss,... but still!) www.nytimes.com/2025/10/10/s...
Every Artist Has a Favorite Subject. For Some, That’s Math.
www.nytimes.com
Reposted by Peter Kagey
Amazing: due to github.com/python/cpyth..., once you've updated to Python 3.14, you can use the command πthon to run your code
I was curious how many New Yorkers lived Upstate, so I looked on Wikipedia. The ratio of (population of NYC metro area)/(population of NY state) is (19940274)/(19867248)=1.00368, with a population of just -73026 people in Upstate New York.
Reposted by Peter Kagey
The #illustratingMath Seminar Online returns on Friday, October 10th, 9 am Pacific / 12 pm Eastern / 6 pm Europe. @3blue1brown.com will be "Exploring Zeta Function Visualizations." Gabriel and Jim will provide some "Show and Ask" input. See you online on Friday!
A dark-themed event poster titled "EXPLORING ZETA FUNCTION VISUALIZATIONS." The poster includes an abstract about visualizing the Riemann Zeta function. A colorful, three-dimensional plot of a mathematical function dominates the right side. The bottom features a circular photo of the presenter, Grant Sanderson from 3Blue1Brown. The event is scheduled for Friday, October 10, with times listed, and will be held on Zoom.
I just re-designed my website away from Wordpress so that I could more easily embed 3D objects, Javascript, and more.

Check out my first blog post that takes advantage of these new features, based on a Bluesky post that I made back in May.
Pentagonal icositetrahedron puzzle
A puzzle on the faces of the pentagonal icositetrahedron with 3D models, STL files, photos, and video illustrations
peterkagey.com
Reposted by Peter Kagey
Two puzzles I'm building:
🔴 12 pieces slide into a cube with coordinated motions in 2D abstract space.
🔵 30 pieces form a dodecahedron with 4D motions.
Inspired by John Kostick's designs. john-kostick.github.io/vzome-sharin...
Reposted by Peter Kagey
The k-th entry of the n-th row here is (n^4 % k) % 2 with 0 colored dark blue and 1 colored light blue.
OEIS sequence A049763 by Clark Kimberling.

(Even terms are drawn as dark hexagons and odd terms are drawn as light hexagons.)
OEIS triangle for sequence A049763.
Another bonus one, because I forgot to turn of the scheduler on my local machine! 😉
Extra bonus triangle today, because I'm moving the bot from running locally on my machine to my VPS.

(It's a cute coincidence that it's from the late Reinhard Zumkeller, because he played a role in my early contributions to the OEIS and is part of the reason I'm a math professor today.)
Reposted by Peter Kagey
CMU students and math artist Glen Whitney created “Knight’s Move,” an 8-foot sculpture on Wean Hall’s patio. Representing 288 knight moves on a 3D chessboard, it’s a bold mix of math and art. Check it out this fall!
www.cmu.edu/mcs/news-eve...
A student holds up a sculpture made of yellow, red and gold strips of metal.
Reposted by Peter Kagey
The conjecture that every convex polyhedron is Rupert is settled in the negative! The convex body in the image cannot pass straight through a hole inside itself.
arxiv.org/abs/2508.18475
#Mathematics #Geometry #MathSky
Non-Rupert convex polyhedron.
Minimum number of integer-sided squares needed to tile an m X n rectangle.
OEIS sequence A219158 by David Radcliffe (November 2012).

(Even terms are drawn as dark hexagons and odd terms are drawn as light hexagons.)
OEIS triangle for sequence A219158.
Keep going! You're almost to infinity!
A Mathematica demo I made of wandering around a parameter space of the convex hull of various scalings the vertices of a icosahedron, dodecahedron, and icosidodecahedron.

Given the right parameters, we can recover all Platonic and Catalan solids with full icosahedral symmetry.
I can tell you first-hand that this is a terrific department to work in! (Not least because @dyong.bsky.social is a world-class colleague!)
Friends, the mathematics department @hmc.edu is looking to hire a new tenure-track operations researcher who would feel at home in our department. Please spread the word: math.hmc.edu/tenure-track...