Looks like #plotparty postcards have landed in mailboxes! Read my new blog post about the cards I designed.

HMC CS prof Lucas Bang is helping students gain access to learning & networking opportunities in the computer programming languages field. Bang received a three-year NSF grant to fund as many as 10 students per year to attend international workshops in programming languages. uqr.to/bang-nsf.

Triangle T(m,n) giving of number of steps in the Euclidean algorithm for gcd(m,n) with 0<=m<n.

Five years ago today, I asked a question on Stack Exchange about the number of "n-polytets," which are ways of gluing n tetrahedra together. Recently user Deadcode (David Ellsworth) answered the question and used some novel ideas to extend OEIS sequence oeis.org/A276272 from a(6)–a(17)!

I wrote a blog post about how I made an RSS feed that allows you to get updated when new sequences matching your search are added to the On-Line Encyclopedia of Integer Sequences (OEIS).

Arbitrarily Close: An Introduction to Real Analysis has been published by 619 Wreath! Free PDF, Desmos, and GeoGebra available on my faculty webpage (at least for the time being): www.cpp.edu/faculty/jaro... Hardcover and paperback copies are available from 619 Wreath: www.619wreath.com/acl.html

I made a RSS feed that to see when new sequences are posted to the On-Line Encyclopedia of Integer Sequences (OEIS). For example, if you want to see all of my new sequences or all those with keyword "nice", subscribe to api.peterkagey.com/oeis_feed.xm... api.peterkagey.com/oeis_feed.xm...

I recently wrote a story about Peter Putnam, a forgotten physicist-turned-janitor with a groundbreaking theory of the mind, for @nautil.us. I was able to piece together Putnam's incredible story thanks to a few people who kept the ember of his work glowing for decades after his tragic death.

Every Cobb salad is a macabre salad to me (because of the bacon).

T(n,k) is the number number of partitions of n into distinct odd parts, where every part is ≤ k.

Tomorrow's the last day to get the "early bird" registration price for the Gathering 4 Gardner conference. This time, it will be in San Francisco! Featured speakers include computer scientist Donald Knuth, Mythbuster's Adam Savage, and Pixar's Danielle Feinberg. www.gathering4gardner.org/g4g16-info/

Cool! Bert Dobbelaere and I counted that there are 10924738869 ways of putting 19 of these together! (oeis.org/A385024)

Celebrated the centennial of the MAA SoCal-Nevada Section this afternoon by building the MAA icosahedron logo in real life! Designed by Glen Whitney, who oversaw the construction. @joinmaa.bsky.social

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...

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...

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.

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!

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.

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...

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.

Today in the NYT

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...

Just heard of vZome for the first time. www.vzome.com/app/ #mathapp seems great.

My first OEIS entry: https://oeis.org/A387361

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

Minimum number of integer-sided squares needed to tile an m X n rectangle.

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!)

Made some Escher-inspired magnetic refrigerator magnets by using my AxiDraw V3 pen plotter to draw some tiles on a magnetic vent cover.

Painted my flower pot with Truchet tiles. (1 of 7429) (oeis.org/A368306)

The second talk is by @peterkagey.com, who is speaking about "Enumerating Truchet tiles on the faces of polyhedra." This is a collaborative project within the @prisonmathproject.bsky.social, together with William Keehn. Starting from M.C. Escher, the two explore some rich combinatorics problems.

As a proud UC grad (UC Davis), I know @UCLA is a global leader in research, innovation, education, and healthcare. A $1B federal demand would devastate the nation’s top public research university, cut off life-saving care, and halt economic growth. #StandUpForUC ucal.us/standupforuc

OEIS sequence A301626 by Rémy Sigrist (March 2018). (Even terms are drawn as dark hexagons and odd terms are drawn as light hexagons.)

I learned how to use a CNC machine and wrote G-code today for the first time.

OEIS sequence A223538 by Tilman Piesk (March 2013). (Even terms are drawn as dark hexagons and odd terms are drawn as light hexagons.)

Funhouse mirror icosahedron selfie made possible by @joshmillard.bsky.social

Cast your vote for the USPS to bring back the SCRATCH AND SNIFF "Frozen Treats" stamp.

We’re opening up our studio to visitors on August 16th. Mark your calendars! We will have demos, you can shop our jewelry + puzzles, and also get sneak peaks of various sculpture projects we’re working on (in Catskill, NY)

Am I tempted to travel to Austria just for the purpose of climbing through a 97 m³ spatial net? 😏 berliner-playequipment.com/us/referenze...

This article is from a month ago, but still gives me hope. “Hope is a verb—an action we have to do.” Last night, Sierra and I saw the Yeah Yeah Yeahs at the Orpheum and Karen O reminded us how strong the community in LA can be during this time of adversity for our city. 🚫🧊

Mirad qué preciosidad nos comparte @peterkagey.com a partir de una fotografía que realicé en Valencia y a la que dediqué un #MicrorrelatoMatemático La belleza de las #matemáticas ⬇️

Up to rotation and translation, there are 3 distinct tiles, 4 connected components of two tiles, 15 of three tiles, 47 of four tiles, and 187 components of five tiles, shown here. Want to guess how many there are for six, seven, and eight tiles?

I wish that MathOverflow treated everyone like Richard Stanley: ask a simple but rich question, get lots of upvotes and no snarky comments.

Last week, I was a faculty member at Camp Conway, a math camp for ~10–14 year olds outside of Los Angeles, CA. The campers have time during their day to think about whatever they want, and I just got an email that a camper has been thinking about a problem from my "Open Problems Collection."

"In the end, the work on monostable tetrahedra didn’t involve any particularly sophisticated math, according to Richard Schwartz of Brown University. But, he said, it’s important to ask this kind of question in the first place. It’s the kind of problem that’s often easiest to overlook."

I’ve written something for @sojo.net about what’s been happening in LA: sojo.net/articles/opi... We see the logic of domination at work, and we’ve got to reject it and commit to the brave politics of care instead.