This image (made with Saul Schleimer) shows two different ways to approximate the Cannon-Thurston map associated to the figure-eight knot. Cannon-Thurston maps are space-filling curves, a bit like the Hilbert curve except that these fill a sphere rather than a square.

Submissions are now being accepted through September 14 for SCULPT 2025. Accepted work will be presented in a ZOOM Show and Tell event on November 7. In addition, works will be digitally showcased in the exhibition section of SCULPT 2025 and in a proceedings volume.

Starting the #illustratingMath talks at the @icerm.bsky.social today is Elliot Kienzle, who aims to settle the question how "To draw a torus." Like all good answers, his is based on differential geometry, taking the geometry of the torus into account when drawing. And Escher's there, too😄

Today, the one-week #illustratingMath workshop at @icerm.bsky.social starts. It is a week, packed with great talks on #images, #animations, #textiles, #sculptures, #dance, and #3dPrinting. All talks are being live-streamed, so go check out the schedule at icerm.brown.edu/program/topi... and join in!

I added a second post on my new Patreon, about my plans for a three-dimensional expanding racks design based on the srs net (also known as the Laves graph). See www.patreon.com/posts/135832...

I never got around to posting this animation I made with Saul Schleimer.This animates successively better approximations to a space-filling curve. (Or rather, you can tile the plane with the shape, and that gives the approximation to the space-filling curve.)

I finally got around to setting up a Patreon! It's at patreon.com/HenrySegerman. 
The first post is about my plans for taking the expanding racks project (youtu.be/iWknov3Xpts) from two-dimensional to three-dimensional networks. 
If you’d like to support my work, please consider joining. Thanks!

Working on a few three-dimensional expanding rack mechanisms. This one is based on the NbO lattice.

The Bridges 2025 conference proceedings are now online. My article: "Fold-and-cut lines for the hat, turtle, and spectre tiles" archive.bridgesmathart.org/2025/bridges... The full proceedings: archive.bridgesmathart.org

Some photos from the exhibition that opened at the National Museum of Mathematics Thursday, on 5th Ave in NYC. The other artists/mathematicians in the exhibition were Nicolas Belmonte, Chaim Goodman-Strauss, Edmund Harriss, Stepan Paul, Henry Segerman, and Steve Trettel.

Moving up one dimension into Apollonian sphere-packing using POPs. I put together an implementation based on Kean Walmsley’s code, which itself is built on Ron Peikert’s original work from his paper “The Fractal Dimension of the Apollonian Sphere Packing.” #creativecoding #generative #generativeart

I’m curating an exhibition of Mathematical Art at the Australian Mathematical Society meeting in December. If you’re coming to the meeting and you create art with mathematics, please think about being involved. More information to appear at the conference website.

I'll be in NYC this week for the opening of an art exhibition at the Museum of Mathematics. "Warped Realities" showcases the work of seven artists, and includes ten of my ceramic sculptures. If you're able, please join us Thursday evening at 6:30. . momath.org/composite-ga...

Alongside the research program "Illustration as a Mathematical Research Technique" (more information here: www.ihp.fr/en/news-rese...), there will be a #MathArt exhibit from 9 April to 25 July with an open call for participation: www.ihp.fr/en/actualite....

Saul Schleimer and I got our code for generating Cannon-Thurston maps working with sagemath algebraic numbers. The old code used floating point numbers which would eventually lose precision and blow up. With algebraic numbers we can go as far as we want!

Here’s another clip from my video on expanding rack and pinion mechanisms - an expanding pythagorean triple triangle. There’s a reason why it’s easier to make this kind of triangle! Full video at
youtu.be/iWknov3Xpts

The #illustratingMath Seminar Online (IMSO) will continue on June 13th at 9am Pacific/12pm Eastern / 6pm Central Europe! Our speaker will be Carolyn Yackel on "Marrying #Mathematics with Illustrative Technique", accompanied by "Show and Ask" talks from M. Conroy and A.D. Jones.

New video on some expanding 3D printed designs based on rack and pinion mechanisms: youtu.be/iWknov3Xpts

What if books about abstractions didn't have to stay flat? Visualizing Mathematics with 3D Printing by Henry Segerman @henryseg.bsky.social www.3dprintmath.com Johns Hopkins University Press 2016 Model www.printables.com/model/167505... on @printables.bsky.social

#MathSky there's a new online open-access (and free) journal for mathematics and fiber arts: Interlace. Now accepting manuscripts! Editors-in-Chief: sarah-marie belcastro and Carolyn Yackel. 🧶 www.interlace-journal.org

I had to know if it worked, so I built a little simulator! Here's the setup: a little toy dinosaur and a conical spotlight, then a black hole, then a simulated piece of film (that will record when a simulated photon hits it, and accumulate them)

For years, we've been making Hyphae lamps that fit in your hand. Now we're working on something a bit bigger #sciart

My latest coordinate-motion model with 20 pieces, based on the compound of five tetrahedra. We can assemble the 20 identical pieces into five separate tetrahedra or into one large ball. The previous 4 models in this series are available for purchase here: www.nothingyetdesigns.com/collections/...

New video! This covers the fundamentals of quantum computing and builds up to a step-by-step walk-through of an important algorithm in the field. youtu.be/RQWpF2Gb-gU

Just published my first math paper! What a journey! youtu.be/zVRNcRFaZ94

We asked mathematicians what their favorite, most beguiling, intriguing and endearing shapes -- and they sent back a zoo! www.scientificamerican.com/article/thes...

A harmonograph—the math department’s (my) contribution to this year’s Science Potpourri at UAF! @uafairbanks.bsky.social

I'm featured in a lovely video by the Center for Excellence in Teaching, Learning, and Leadership at @queenscollegecuny.bsky.social! I talk about the 3D modeling module in my Mathematical Computing class and I talk about the Mathematical Art Digital Exhibition I curated. #MathSky #EduSky #iteachmath

#MathArtMarch #irrational I feel duty bound to share this pi-day feature in the New York Times. The amount of energy the 24+ of us poured into this “fever dream” was irrational, but made perfect sense. Eternal gratitude to Ingrid Daubechies and Dominique Ehrmann. www.nytimes.com/2025/03/14/s...

If you’re in Sydney, Australia tomorrow, I’ll be giving a public lecture for Pi Day, details at events.humanitix.com/artistic-mat... Sabetta Matsumoto and I will also be doing some events at the Chau Chak Wing Museum over the weekend, details at www.sydney.edu.au/museum/whats...

Day 8 #MathArtMarch Pentagon Had to whip something up for this. A puzzle on a pentagon grid.

The next big Illustrating Mathematics event will be a trimester program at Institut Henri Poincaré in Paris from Jan 5 to Apr 3, 2026. If you are interested in learning or using mathematical illustration, particularly in research, check out the program webpage at indico.math.cnrs.fr/event/13123/.

My friend @mathyadriana.bsky.social lost her job last week, and I want you to know the story: buttondown.com/yarntheory/a...

Exciting news: our 2025 public lecture for International Day of Maths will be by @henryseg.bsky.social 'Artistic Mathematics: Truth and Beauty' will be on Friday 3.14 (14.3 down under) and will cover mathematical art and visualization Those in Sydney, register here 👉 bit.ly/4hJefor #mathsky #idm314

A bigger version of our Geared cube net, for an art exhibition "Intersections: Math, Art, Truth, Humanity", organized by the Seattle Universal Math Museum and Glen Whitney in Seattle. Joint work with Sabetta Matsumoto. (The smaller original version: youtu.be/T3CkqXycT9w)