The vanishing loci of homogeneous polynomials in four variables form surfaces in projective space. This project renders four views of such surfaces in the ball model of ℝℙ³, with a fifth ball rotating between them. Click and drag to interact! kyleormsby.github.io/projective-s... 🧮 #MathArt

Mathematicians have built beautiful, snowflake-like codes to untangle some of the trickiest knots. @ericaklarreich.bsky.social reports: www.quantamagazine.org/a-powerful-n...

Here's a second, geared mechanism that transforms between cube and octahedron forms. Full video at youtu.be/T9BNMLFHXUw

This is a result of our fabulous #illustratingMath trimester at the institute Henri Poincaré in Paris, which ran from January till March this year. Attached is an image of the piece in the #art exhibition at the Maison Poincaré. Definitely give Henry's video a look!

New video, on mechanisms that illustrate the duality between the cube and the octahedron! Here's one of them: a linkage with fabric panels designed by Sabetta Matsumoto. Full video at youtu.be/T9BNMLFHXUw

There is research on fabricating micropolyhedra using lithographic techniques via self-assembly / self-folding of nets that fold to, e.g., a cube as illustrated. Note the tiny size: 0.2mm. The goal is to minimize mis-foldings. doi:10.1371/journal.pone.0004451 cs.smith.edu/~jorourke/Ma... #MathSky 🧪

We’ve been experimenting with the transparency toolkit from HeyGears to create optically clear models of radiolarians, microscopic single-celled marine organisms that build intricate glass skeletons with stunning geometric complexity. #sciart #3dprinting (Printer + materials provided by HeyGears)

I'm enormously happy to finally be able to announce the date of the #BeachSpectres project: 7th June, 2026. #WhitleyBay beach, UK. If you can make it to the beach and join in with the tiling effort, I'll be very happy to see you and glad of the help! Lots […] [Original post on mathstodon.xyz]

HyperRogue is now verified for SteamDeck! ✅ A perfect game/platform match: mostly only movement so no need for complex buttons, joystick is good for its non-Euclidean movement directions, bigger screen and more powerful hardware are a better fit for infinity than phones. #roguelike #steamdeck

Things have been rather busy at the #illustratingMath trimester at the Institut Henri Poincaré for the last two weeks. A number of illustration projects have been started. I'll share some highlights in this thread. (1/6)

Earlier this week I was challenged to come up with a mechanism that would illustrate the duality of the cube and the octahedron. I got as far as making this animation before discovering that I was scooped three months ago!

Minesweeper roguelike I’ve been having a lot of fun with out in full release now: store.steampowered.com/app/3473250/...

#mathart #mathknitting #JMM2026 This year, the math art exhibition at the Joint Mathematics Meetings invited me to be a featured artist, giving me the chance to assemble this mini-retrospective of my knitted and beaded work. Links to the catalog entries are in the following posts. 🧶 #knitsky ☺️

A grand piano, a concrete mixer, an overhead projector, and an eclectic selection of mathematical objects. 🤩 @cirm-math.bsky.social #illustratingMath

🚨The call for submissions for this year's @BridgesMathart conference is out: www.bridgesmathart.org/b2026/bridge.... Regular papers: 1 February Short paper: 1 March Workshop papers: 1 March Artworks: 15 March Math + Fashion Show: 15 April Short Film Festival: 09 May Family Day: 15 June

New video out just now, on a mechanism that uses racks and gears to expand and contract, this time in all three dimensions! youtu.be/NEJZlGuWGV8

The OSU Museum of Art is in a beautiful old building that used to be a post office. They have a small but heavily-fortified room that used to be a safe. Not such a great location to view paintings, but will work nicely for light-based sculpture, like "(5,3,2) triangle tiling", by @saulsch and me.

Giant cardioid: version 2.5. Version 1.0 was made using Pex tubing and grommet tape. Version 2.0 was made from laser-cut pieces. The wood was too fragile, and it broke during construction. In version 2.5, I made the pieces wider and I used thicker wood. Success, I'd say! The diameter is about 5 ft.

Understanding geometry through model making

Everyone is invited to attend the SCULPT 2025: Show & Tell, a digital gathering that celebrates creative exploration across art, geometry, design, and fabrication. Date: Friday, November 7, 2025 Time: 8:00 – 10:30 AM (PST) Zoom Link: cca.zoom.us/j/9826107944...

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...

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!

Submissions are now being accepted for the Exhibition of Mathematical Art to be held as part of the Joint Mathematics Meetings, Washington, DC, in January of 2026. Apply online through October 15 at gallery.bridgesmathart.org. pic.x.com/MGSEyexSzo

New dice from The Dice Lab (me and Robert Fathauer), which may (?) be useful if you regularly write equations. youtube.com/shorts/fgMox...

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...