Incomplete Open Platonic Solids Sol LeWitt famously enumerated all the incomplete open cubes, finding 122 of these connected, non-planar subsets of the edges of the cube. Since then, while several projects have revisited the cube ...

New preprint dropped:
arxiv.org/abs/2602.20425

In addition to Sol LeWitt's 122 incomplete open cubes, there are 6 incomplete open tetrahedra, 185 incomplete open octahedra, 2423206 incomplete open dodecahedra and 16096166 icosahedra.

A couple of New York skyscrapers on a cloudy day. Behind them the sky is a flat gray-white, and each building is progressively more vanishing into the clouds until the last one disappears entirely from sight before we see the top.

I love it when the weather is just so and the skyscrapers fade out.

It's like finding a rendering glitch in real life. Like, yup, that's the culling radius right there....

The #SimonsFoundation wins this year's swag competition at the #jmm2026! #hagoromo

Possibly my favorite part of the article is this sentence:
> Gunnar Carlsson and Mikael Vejdemo-Johansson have both been instrumental in shaping the field and bringing topologists into the fold.

Topological Data Analysis with Applications - The Mathematical Intelligencer The Mathematical Intelligencer -

My book was reviewed in the Mathematical Intelligencer: link.springer.com/article/10.1... (unfortunately paywalled)

The review especially praises the section with case studies, that sets our book apart from most other TDA books.

7, but like 3-4 of those are with footnotes. Like ...

No tomatoes, but tomato sauce is fine, except when it's the main thing.
No liver, except in a pâte.

Three Interlocked Hamiltonian Pathes On a Icosidodecahedron

it was made with a powder printer, no need for support.
You can make inner pieces
flic.kr/p/xHz4YK

It's a big part of why we love you.

(or, over thinking this and refocusing to speak only for myself: it's why I love you)

(damn I miss our floor con with the pizza and all the ADHD people)

All interested in the Ph.D. Program in Mathematics are invited to Math Fest Meet our faculty and graduate students. Learn about our areas of research, the programs we offer, and our financial support packages. Lunch is provided for those attending in person. Friday, November 14, 2025 10:00 am — 3:30 pm RSVP now!

Join us at Mathfest to learn about the Ph.D. Program in Mathematics! RSVP here www.gc.cuny.edu/events/mathf...

This is what democracy looks like!

Union feeder March for #NoKingsNYC today
We ended up much faster than the main march and were dispersed when we hit 14th instead of joining the main march.

I saw the Hu early during their first viral wave, in a tiny music club in Stockholm - 80% Mongolian audience, and once of the most amazing concert energies I've ever experienced!

A picture of a small section from a Wolfram notebook: one input and its paired output. Input is: Length[incompleteopencubes] Output is: 122

Progress!!!

#sollewitt #mathematicalart

It certainly was an interesting read (and somewhat timely since I find myself department chair with NO current elected seats on my standing committees... so we're holding emergency elections to fill 20-and-change committee seats, and are knee-deep in discussing voting system properties)

If you want to dig deeper into properties of this system, here's an excellent list of properties people care about:
electowiki.org/wiki/Categor...

A few I would start looking at first would be:
electowiki.org/wiki/Pareto_...
electowiki.org/wiki/Indepen...

Another issue would be that you could definitely have votes that are entirely disjoint from the seat winners: voters who neither rank nor approve of anyone who makes the seating cut. They would then end up in a situation similar to the first-past-the-post problems, where non-winning votes are wasted

It is not at all inconceivable with a situation where a candidate gets seated, but with _no_ top votes backing them. Would they be given "voice but not vote" in the assembly? (....which I see now you mention under "Broad approval?")

Soooooooooooo, not having done any detailed analysis and not being deeply mired in the intricacies of voting systems, one thing jumped out at me reading this (that might be at least partially handled by ideas in the refinements):

every “ancient tradition” was invented between 1848-1870 and every “modern perversion” is so ancient as to predate writing

The number of times I've _started out_ with "so that's V for Victory, E for Echo, J for Juliet, D for Delta, ...."

And I still got signed up for Internet when I lived in California as "Zejdemo"

I want someone to have my back like Mamdani and Lander have each others'.

And while I'm not a New Yorker, the first thing this makes me think?

If they're there for each other like this, against the business establishment? They'll be there for their constituents against it as well.

[6] L To Calvisius. Thave been spending all my time here among my tablets and books as quietly as I could wish. "How is that possible," you ask, "in Rome?" Well, the Circensian games have been on, and that is a kind of spectacle which has not the slightest attraction for me. There is no novelty, no variety in it, nothing which one wants to see twice. Hence I am the more amazed that so many thousands of men * should be eager, like a pack of children, to see horses running time after time, and the charioteers bending over their cars. There might be some reason for their enthusiasm if it was the speed of the hors or the skill of the drivers that was the attraction, but it is the racing-colours which they favour, and the racing-colours that fire their love. If, in the middle of the course and during the race itself, the colours were to be changed, their enthusiasm and partisanship would change with them, and they would suddenly desert the drivers and the horses, whom they recognise afar and whose names they shout aloud. Such is the influence and authority vested i one cheap tunic, I don't say with the common crowd, - for that is even cheaper than the tunic, - but with certain men of position; and when I consider that they can sit for so long without growing tired, looking on at such a fruitless, cheerless, and tedious sport, I really feel a sort of pleasure in the thought that what they take delight in has no charm for me. Thus it is that I have been only too glad to pass my leisure time among my books during the race-meeting, while others have been wasting their days in the most idle occupations. Farewell.

[first lines Jerry: Loyalty to any one sports team is pretty hard to justify. Because the players are always changing, the team can move to another city. You're actually rooting for the clothes when you get right down to it. I mean, you are standing and cheering and yelling for your clothes to beat the clothes from another city. Fans will be so in love with a player, but if he goes to another team, they boo him. This is the same human being in a different shirt. They hate him now. "Boo! Different shirt. Booooo."

Pliny the Younger apparently thought sports were very stupid but it's funny that it's for the exact reason laid out in Seinfeld s6e12 ("The Label Maker")

This is a great piece by Suresh Naidu. Another piece along similar lines frames the Administration's tactics as the politics of humiliation: it's not enough that they win, but that they have to humiliate. And why it's futile for universities to even try. www.liberalcurrents.com/the-politi/

Big mood.

Help me internets!

I want to find a source for ISO-layout keyboards that will deliver to USA. Preferably, I want ISO-UK printed, relatively cheap, wired USB keyboards.

Everywhere I've looked so far insists on ANSI-layout for the US market, with no options offered for alternatives.

Today I was woken up by chainsaws. I counted at least half a dozen busted trees, one giant old one, on the castle grounds, and at least 3 in the village outside.

Yesterday evening, during the Conference Bonfire, #Bedlewo had a hail storm pass through. Water leaking through the roof, insanely loud hammering on the glass roof in the atrium of the wing with visitor rooms.

I hope that clarifies why my fascinated musings deviated from the classic Catalan grammar approach?

And thank you for writing a delightful paper! It is truly lovely when you read something (some distance outside of your own field) that makes ideas connect to each other.

7/7

And if you consider that punching a hole in a list means there is some list of things before the hole, and some list of things after it - the L(x)^2 description makes sense.

For a list with n entries, there are n-1 entries remaining in addition to the hole. And the hole can be in n place. 6/n

…describe with
L(x) = 1 + x*L(x), or L(x) = 1/(1-x) = 1 + x + x^2 + x^3 + …

So a list is either empty, or it has one entry, or two, or three, or, ....

Now the derivative here is:
∂(1/(1-x)) = 1/(1-x)^2 = L(x)^2
or taking it term by term:
∂L(x) = 0 + 1 + 2x + 3x^2 + 4x^3 + 5x^4 + … 5/n