iiinova — where your digital self keeps evolving

Reposted by @samjshah.bsky.social

Dave Richeson @divbyzero.bsky.social · 14/09/2026

Over the weekend, I had an idea: what if, instead of the objects appearing to sit horizontally in front of you, I modified them to appear vertically? Here are four test attempts.

6398

Reposted by @samjshah.bsky.social

Daniel Wilson @helsig.bsky.social · 14/09/2026

#SciArtSeptember #SciArt Day 14. #Crescent Apollonian knot.

A knot pattern based on an Apollonian gasket. Math art created using Excel and Krita.

214737

Reposted by @samjshah.bsky.social

Matt Henderson @matthen.com · 09/09/2026

Drawing a picture from the continued fraction of a number. The continued fraction terms drive a Fourier series.

510023

Reposted by @samjshah.bsky.social

ꭓle Ormsby 𓆙 @e-infinity.space · 08/09/2026

Now ready for you to enjoy: e-infinity.space/picture-book/ #MathArt #MathSky

57821

Reposted by @samjshah.bsky.social

Dave Richeson @divbyzero.bsky.social · 07/09/2026

Whenever I had a few minutes over the last few days, I created a new shape for my "impossible objects" library. Want to make a cactus/cowboy boot shape? You can now. I also implemented a visual picker to replace the drop-down menu. I plan to keep adding to it. divisbyzero.github.io/impossible-o...

1237

Reposted by @samjshah.bsky.social

Dave Richeson @divbyzero.bsky.social · 07/09/2026

I just updated this web app I made last summer—it lets you design your own US weather maps for use in Multivariable Calculus classes. Now you can add cities to the map and save map settings for later. I also improved the UI. divisbyzero.github.io/isothermgene...

divisbyzero.github.io

Isotherm Generator

097

Reposted by @samjshah.bsky.social

Matt Henderson @matthen.com · 07/09/2026

A ring built from the Julia sets found along the main cardioid of the Mandelbrot set. one of my favourite mathematical objects

726444

Reposted by @samjshah.bsky.social

Ilana Horn @ilanahorn.bsky.social · 06/09/2026

[GIFT] "The 92-Year-Old Mathematician and the Teenage Apprentice" A beautiful story about mathematical intuition, collaboration, and discovery. #iteachmath www.nytimes.com/2026/09/06/s...

nytimes.com

The 92-Year-Old Mathematician and the Teenage Apprentice (Gift Article)

Joan Birman thought her major discoveries were behind her. Then came an email from a young neighbor — a girl who knew little but wanted to learn.

094

Reposted by @samjshah.bsky.social

Dave Richeson @divbyzero.bsky.social · 04/09/2026

I've been thinking about how to best display and view my impossible objects. Here's what I've come up with so far. The feet fit into the spinner to line up the object. The spinner turns 180°. The window forces the viewer to look down at a 45° angle. And the mirror has a slot to hold it at the

5368

Reposted by @samjshah.bsky.social

Matt Henderson @matthen.com · 30/08/2026

sequence of the smallest numbers that are not listed in the OEIS: 20990, 23543, 23735, 24085, 24159, 24555, 26301, 26673, 26708, 27266, 27815, 27988, 28330, 28353, 28869, 28946, 29577, 29962, 30131, 30146, 30193, 30328, 30466, 30473…

2435

Reposted by @samjshah.bsky.social

Matt Henderson @matthen.com · 31/08/2026

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1… a_n is the most common integer at position n of all sequences

181

Reposted by @samjshah.bsky.social

Matt Henderson @matthen.com · 30/08/2026

1, 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 11, 13, 16, 15, 14, 17, -1, 18, 24, 20, 19, 21, 23, 22, 30, 32, 25, 36, 28, 31, 29, 27, 26, 37, 40, 35, 42, 48, 33, 34, 41, 64, 60, 43, 45, 56, 44, 47… The most common numbers in the Online Encyclopaedia of Integer Sequences, sorted by frequency

79411

Reposted by @samjshah.bsky.social

Daniel Wilson @helsig.bsky.social · 31/08/2026

In Krita I was using Gaussian blur and Prewitt edge detection to create some interesting effects. I realized I could google the names and learn about the math. I wanted to do something similar in Excel but started with my own approach. I created an elevation map applied to a rose curve.

0141

Reposted by @samjshah.bsky.social

Fractal Kitty @fractalkitty.com · 27/08/2026

I'm going to run a group - Painting the OEIS. Please share your favorite sequences and why. I'll share what art I do with any of them. #oeis #mtbos #mathArt

112614

samjshah.bsky.social @samjshah.bsky.social · 28/08/2026

It is finally done! My Truchet tiles stained glass piece. I explored Guillaume Pelletier-Auger’s site ages ago and was inspired. pelletierauger.com/en/projects/... #mathart #mtbos I feel really proud even though it’s crooked in places; I’m still such a novice. But it’s so beautiful to me!

3222

Reposted by @samjshah.bsky.social

Matt Henderson @matthen.com · 27/08/2026

a parabola is formed when circles radiating from a point meet lines moving at the same speed. this is equivalent to slicing a cone parallel to its slope

314223

Reposted by @samjshah.bsky.social

Matt Lane @mattlane.us · 27/08/2026

Hey math stans! looking for an application of the intermediate value theorem? check out my latest, on the absolute dystopia we must be living in to allow prediction markets on medical trials: mattlane.us/stories/bett...

041

Reposted by @samjshah.bsky.social

Dave Richeson @divbyzero.bsky.social · 26/08/2026

Ok. One more. Two circles or three?

3437

Reposted by @samjshah.bsky.social

Dave Richeson @divbyzero.bsky.social · 24/08/2026

Here are a few more impossible objects: the duck/rabbit illusion and the hand/foot illusion.

1255

Reposted by @samjshah.bsky.social

Christian Lawson-Perfect @christianp.mathstodon.xyz.ap.brid.gy · 20/08/2026

Eddie Woo and the National Gallery of Australia have a new video series "charting the intersection between maths and art". The first one is about a sculpture called "Ouroboros", by Lindy Lee: www.youtube.com/watch?v=eJaRqLmmTQg #MathArt

1126

Reposted by @samjshah.bsky.social

Fidel Destro @fideldestro.bsky.social · 21/08/2026

A thing. (okay, some rhombic dodecahedra packed, then turned into only the outer shell, and subdivided.) #Blender #MathArt #AbstractArt #Geometry #SacredGeometry #NotTotallyMundaneGeometry

1116

Reposted by @samjshah.bsky.social

Susan Goldstine @sgoldstine.bsky.social · 12/06/2025

#ShowMeYourKnits #mathart 🧵 After I broke into two-color brioche, I had a brainwave that I could do this really cool thing as a knit #cowl. It was two years before I finally made my first try, shown here. Explanation and photos to follow; keep an eye on main and background colors. 🌈 🧶 #knitsky

1520618

Reposted by @samjshah.bsky.social

MathHappens Foundation @mathhappens.bsky.social · 20/08/2026

These four tiles are related via the Pythagorean theorem and they can make Voronoi regions!

272

Reposted by @samjshah.bsky.social

Desmos Studio @desmos.com · 21/08/2026

Aaaaand...action! You can now add buttons to your Desmos notebooks. #mathsky #iteachmath #desmos

1288

samjshah.bsky.social @samjshah.bsky.social · 19/08/2026

I still have no idea if this will hold together after soldering, but I just spent a few hours finishing up foiling many of the pieces for my Truchet tiles stained glass and taping it all together. #mathart #mtbos

1152

Reposted by @samjshah.bsky.social

Ayliean @ayliean.bsky.social · 18/08/2026

It’s my Birthday 🥳 For my selfish gift: I would absolutely love if could leave me a lil review if you have ever seen me talk, run a workshop, enjoyed my videos or art etc.! 🥰 You can leave em here or DM me :) *anything you say can and will be used against you in a co… I mean, on my website 😋

Me holding a pineapple with 1,1,2,3 candles im it. It’s a very pink and cute photo

13201

samjshah.bsky.social @samjshah.bsky.social · 17/08/2026

I’m hypnotized. Truchet tile drawing ✍️ . #mtbos #mathart

061

Reposted by @samjshah.bsky.social

robertfathauer.bsky.social @robertfathauer.bsky.social · 05/07/2026

Over 5,500 mathematical artworks can now be browsed in an attractive new gallery-wall layout on the Bridges website, thanks to the efforts of Nathan Selikoff: gallery.bridgesmathart.org/gallery?seed...

06533

samjshah.bsky.social @samjshah.bsky.social · 16/08/2026

I’ve been sick this past week but started to feel much better today. So I started a new #mathart project. 😁 I’m probably a third of the way done. The math… Truchet Tiles: pelletierauger.com/en/projects/... I’m a novice at stained glass so we’ll see if this large thing will work. #mtbos

0132

Reposted by @samjshah.bsky.social

Graph Time with Sara and Sean @graphtimesarasean.bsky.social · 11/08/2026

It's time for another episode of Graph Time with Sara and Sean. In this Episode, we partner up with @mathemagicland.bsky.social who makes awesome Desmos videos and we work on making a 90's-esque screensaver using parametrics in the 3d calculator. Enjoy! youtu.be/MQcBW8tKiaM?...

youtu.be

Making a 90s screensaver in Desmos

YouTube video by Graph Time with Sara & Sean

084

Reposted by @samjshah.bsky.social

Daniel Wilson @helsig.bsky.social · 13/08/2026

A rose curve field moving through the vertices of a triangle. #MathArt

0123

Reposted by @samjshah.bsky.social

Daniel Wilson @helsig.bsky.social · 13/08/2026

A rose curve field moving through the vertices of a square. #MathArt

0174

Reposted by @samjshah.bsky.social

Daniel Wilson @helsig.bsky.social · 12/08/2026

A rotating heptagon with vertices matching the contours of a rose curve. #RoseCurve #MathArt

1133

Reposted by @samjshah.bsky.social

Darth Calculus 🏳️‍🌈 @darthcalculus.bsky.social · 09/08/2026

I'm revamping my materials for the quadratics unit, including my tutorial on completing the square. I've always struggled with how to explain it without making it confusing, and I think this visual will help nicely. It uses the same mechanic as my "camera moves" animation #Desmos #EduSky #ITeachMath

1113414

Reposted by @samjshah.bsky.social

Minor Mobius @minormobius.bsky.social · 06/08/2026

Inspired by this tweet brought to me by @norvid-studies.bsky.social x.com/matthen2/sta...

x.com

Matt Henderson (@matthen2) on X

Game of Life on Penrose tiles

0133

Reposted by @samjshah.bsky.social

Darth Calculus 🏳️‍🌈 @darthcalculus.bsky.social · 01/08/2026

My latest project in #Desmos involves making programmed "camera moves" for animations. I often make graphs to show my students something specific. I have been trying to write functions that adjust the window so I can get videos like this. www.desmos.com/calculator/3... #ITeachMath #EduSky

3113

samjshah.bsky.social @samjshah.bsky.social · 01/08/2026

I just finished soldering a Penrose tiling stained glass piece! It’s so pretty! #mtbos #mathart

4403

Reposted by @samjshah.bsky.social

Hank Green @hankgreen.bsky.social · 09/07/2026

OK everybody...still working out some kinks but... A new daily game, with boards written and edited by John Green. hankgreen.com/smush

hankgreen.com/smush · Jul 8
348 pts · ★★ pangram first
🟨🥞🟨
🥞⭐🥞
🥞🥞🥞

1431121133

Reposted by @samjshah.bsky.social

Adrienne Hestenes @ahestenes.bsky.social · 30/06/2026

I won’t be at Bridges Math conference, but my hand embroidered Lorenz Attractor will be! #ThreadedTheorems used my photo in their paper. Yay! I see @samjshah.bsky.social has his embroidered aperiodic monotile in this paper as well. #mtbos archive.bridgesmathart.org/2026/bridges...

archive.bridgesmathart.org

093

Reposted by @samjshah.bsky.social

Elke Stangl (elkement) @elkement.art · 16/06/2026

Test new black paper and new colored pencils ... by constructing a hyperboloid ... by letting a line segment rotate about an axis! Also: Adding proper annotations of points and lines for the first time. #MathArt #SciArt

Descriptive geometry construction of a hyperboloid, by rotating a line segment skew to the axis of rotation. Colored pencils (mostly white) on black paper, extensive annotations of points and lines. By elkement 2026.

49319

Reposted by @samjshah.bsky.social

Dave Richeson @divbyzero.bsky.social · 16/06/2026

Here are a few more curved origami pieces I made. Technically, I made them so the crease lies in the same plane. But if I make the strips narrow enough relative to the object's size, you can get the over-and-under behavior to work pretty well. I could have made all of these except the 5₁ knot

1308

Reposted by @samjshah.bsky.social

Jim Simons @pippinsboss.bsky.social · 17/06/2026

I like the proof using complex numbers, which is how Van Aubel himself proved it (using the strange notation where √ as a stand-alone symbol means what we call i). You might enjoy my video on the subject. youtu.be/pUSI91Mo7LU

youtu.be

Three pretty geometric theorems, proved by complex numbers

YouTube video by Jim Simons

192

samjshah.bsky.social @samjshah.bsky.social · 13/06/2026

On our last precalc class, we went outside and did some sidewalk math! #mtbos

0172

Reposted by @samjshah.bsky.social

Robert Kaplinsky @robertkaplinsky.com · 17/05/2026

Does understanding the Math Practices seem impossible? I think so and I rewrote them in an attempt to make them readable. In this blog post I share my revised version of MP 4 as well as a link to download all 8 MPs in English or Spanish as a printable PDF. robertkaplinsky.com/making-...

021

Reposted by @samjshah.bsky.social

Erick Lee @theericklee.bsky.social · 06/05/2026

Students were out of their seats collecting data for a related rates lab today! They compared experimental data to theoretical solutions for the classic sliding ladder, the inflating balloon, and more. A fun day of "math in motion." #ITeachMath #Calculus pbbmath.weebly.com/blog/hands-o...

hree students are working around two wooden desks pushed together. One student, on the left, is holding a long, wooden meter stick that lies horizontally across the desks. A second student, in the center, holds a flexible yellow measuring tape that extends diagonally from the top left corner of the wooden meter stick down toward the bottom right. A third student, on the right, is pointing at a small blue toy car placed near the end of the wooden meter stick. Each student’s hands are visible as they work together to take measurements. On the desks, there are also two worksheets with tables and calculations. The scene captures a moment of active, collaborative learning in a mathematics class.

A close-up of a hands-on calculus activity where students are measuring an inflated orange balloon. One student holds the balloon steady at the base, while another student wraps a blue flexible measuring tape around its widest part to determine the circumference. In the background, a stack of calculus textbooks and a data sheet are visible on the wooden classroom desk, highlighting the practical application of related rates as the balloon changes size.

A student stands in a hallway recreating the "sliding ladder" calculus problem. A wooden yardstick acts as the "ladder," leaning diagonally against a wall. A yellow measuring tape runs vertically up the wall to track the height (y), while a white measuring tape extends along the floor to measure the distance from the wall (x). The student holds the yardstick, illustrating the physical setup used to collect data on how the rates of change of the sides of the triangle relate to the constant length of the ladder.

3131

Reposted by @samjshah.bsky.social

Leah Berman Williams @leahwrenn.bsky.social · 05/05/2026

New art for the art wall outside my office #mathart

String art in orange. A swirly disk with two pincers

String art black rosette with 5-fold symmetry

A bulletin board with interlace patterns and string art

1363

Reposted by @samjshah.bsky.social

David K Butler @davidkbutler.bsky.social · 06/05/2026

A deltahedron I made at #100factorial today with the polydron triangles. It’s a size-three octahedron with three size-one tetrahedra on each face. The whole shape has 120 faces, 180 edges and 62 vertices, with exactly 40% of the edges concave. It took me two hours to make, and some extra hands.

A 3D shape made out of plastic triangles clicked together at their edges.
There are large sections each in a different colour, which are a big flat triangle three small triangles a side, three small triangles of which have been replaced with an outwards-facing pyramid. The colours visible in order of how much of it you can see are green, blue, black, purple, yellow and white.
A piece of paper in front of the shape says
Total faces: 15 times 8 =120
Convex edges: 180 minus 72 =108
Concave edges: 8 times 9 =72
Total edges: 120 times 3 halves =180
Total vertices: 180 minus 120 plus 2 =62
Percentage edges concave = 72 over 180 = 8 over 20 = 2 over 5 = 40%

1166

Reposted by @samjshah.bsky.social

benjamin dickman @benjamindickman.bsky.social · 27/04/2026

what a final @todos-math.bsky.social e-news message! congrats to @dingleteach.blacksky.app for her leadership of TOODS as she segues into Past President; congrats to @karikokka.bsky.social as incoming President; and congrats to two incoming Directors, including Dr. Sara Rezvi! 🔗 www.todos-math.org

todos-math.org

Home - TODOS

At TODOS, we believe every student deserves access to mathematics that reflects their brilliance, culture, language and lived experience.

0133

Reposted by @samjshah.bsky.social

Robert Kaplinsky @robertkaplinsky.com · 27/04/2026

Algebra teachers, check out these three rational exponent problems from Bryan Anderson. See the hints and answers on Open Middle: www.openmiddle.com/rational... www.openmiddle.com/rational... www.openmiddle.com/rational...

041