Robert (Bob) Bosch

@duchessgoldblatt.bsky.social Greetings, Your Grace!

@reubenmargolin introduces us to this caterpillar clock: #AGoodPlace

Nice! The trouble with choosing tile colours by averaging pixels is that the result can be somewhat blurry. Or, if you sample to get tile colours, noisy. A recent Master's student of mine wrote a nice thesis on "pixel art with non-square pixels". dl.acm.org/doi/pdf/10.1...

The (V,E) people got the name first. Sylvester borrowed "graph" from chemical bond diagrams. Plotted functions got called graphs shortly after. mathshistory.st-andrews.ac.uk/Miller/mathw...

Today I tried a proof of concept to see if I could get this effect with a grayscale image and variable hole sizes. I don’t love the images I chose, but I think this is worth trying again!

I've got loads if anyone needs a big number. Here's a taxicab 28 number. Found today by me

Lovely!

Here's my latest visual illusion. I came up with the idea while walking the other day. It is a 3D-printed sheet with holes cut so that it looks different from two different directions, or when light is shone through. What do you think? Spooky? 1/3

I Know What You Did Last Summer for Tax Purposes

If you’ve ever thought about ordering my book “Opt Art: From Mathematical Optimization to Visual Design,” now is a great time, as it is 70% off (only $8.99 for the hardcover).

All 16 combinations of the four 2-factors, a la Sol LeWitt.

Top left: 2-factor A. Top right: 2-factors A and B. Bottom left: 2-factors A, B, and C. Bottom right: 2-factors A, B, C, and D. Colored with palette 76 from the book “A Dictionary of Color Combinations Vol 2.”

Trying another color palette (palette 196 from the book “A Dictionary of Color Combinations Vol 2”) on my favorite decomposition of the infinite knight’s graph into four 2-factors.

Trying another color palette (palette 72 from the book “A Dictionary of Color Combinations Vol 2”) on my favorite decomposition of the infinite knight’s graph into four 2-factors.

Trying a different color palette (palette 76 from the book “A Dictionary of Color Combinations Vol 2”) on my favorite decomposition of the infinite knight’s graph into four 2-factors.

This is your occasional reminder that generative "AI" in particular could have been developed on public domain materials and/or licensed and compensated works but the major players intentionally, methodically and systemically chose to steal labor from working creative folks instead

Mean Girls but it's a movie about Cady learning the different types of mean

I've heard people make claims that AI would lead to a new Renaissance, but I didn't imagine it'd happen like this:

Pretty clear to me there’s a very good case against this man for mass murder, and I’m saying that in as measured a fashion as I can. He’s order the killing of 234 people under no plausible war or legal justification. I am skeptical he will ever face legal accountability for til his but he should.

Beautiful!

Since Elon Musk seems to hate this documentary about him from one of my favorite non-fiction filmmakers, Alex Gibney, figured it was my duty to spread a link to the trailer so you can see it for yourself. ENJOY: https://loom.ly/oA2_-p8

Kids all right.

This looks like it will be fun.

New paper on (among other things) generating Cannon-Thurston maps from veering triangulations, joint work with Jason Manning and Saul Schleimer. arxiv.org/abs/2609.14598. We also made lots of pictures of these space-filling curves, available at math.okstate.edu/people/seger...

@timchartier.bsky.social

I love this.

I love this.

This is exactly what those companies are after: tricking everybody into the perception that 'all math is solved by AI'. Here's my reply to this. web.mathi.uni-heidelberg.de/media/Meanin...

This fall I am co-teaching a brand-new class – ENGR 009: Fabricating Tessellations and Tilings. It's roughly equal parts math and design, filtered thru an engineering perspective. The syllabus and all assignments are freely available to the public at mzucker.github.io/e9_f2026/

El artículo está en: doi.org/10.1080/1751... y dispone de un número limitado descargas libres si se accede desde: tandfonline.com/eprint/QNKDD...

Último artículo publicado. Me hace especial ilusión porque trata de combinar Matemáticas y Arte. El objetivo era encajar piezas de Tetris para representar imágenes conocidas. Making mosaics from Tetris® tiles t.co/HtJSt6dzKj

Since the semester starts in a few days, I thought I'd share a link to the web app I've been working on: divisbyzero.github.io/impossible-o.... It lets you design your own impossible objects! Anyone can view and rotate them in a browser, but you can also download the OpenSCAD file to generate a

Thank you, @moduality.bsky.social for pointing out the weird shadows of my impossible objects. That got me to think of yet another way to show how weird they are. Here, a light is shining down from behind at a 45° angle!

We should all start spelling "Ai" with a lowercase "i" because (1) the "Artifice" part should have more weight, the "intelligence" part less, and (2) we gotta put more respect on Weird Al Yankovic's name.

In summary, it seems like two of the biggest results in their big list of 10 was just putting two things together and not citing them properly paywall-free link: www.yahoo.com/news/science...

Friends, Submissions to “Elementary Penguin: A journal of Words, Wordplay, Poetry, and Puzzles” are now open! Details here: anthonyetherin.wordpress.com/wp-content/u...

If you have any connection to Yale, I strongly recommend you tell President McInnis what you think of her efforts to cut a "deal" with Trump. Email president@yale.edu Phone 203-432-2550

Me to Yale: "If fighting Trump costs Yale billions of dollars, so be it. Yale actually has billions of dollars that it could devote to this fight. This is an existential moment. If Yale does not fight, it will become a mediocre institution for cowards, right wingers, and white supremacists..."

Finally, please sign the petition from the Yale alumni group Stand Up for Yale telling the administration not to cave to this regime's racist demands. actionnetwork.org/petitions/te...