Reposted by Miles LungerLorenz Meyer @thereallorenzmeyer.bsky.social · 01/10/2026Ich muss das loswerden, weil es mich seit gestern Abend wütend macht. Gestern wurde beschlossen, dass das Deutschlandticket zum dritten Mal teurer wird. Parallel startet heute der Tankrabatt. Zwei Nachrichten, wenige Stunden auseinander, und sie erzählen alles über diese Regierung. 🧵 9034251090
Miles Lunger @mileslunger.bsky.social · 22/09/2026From the Wikipedia page: "[The curved blackboards are] built to the specification that they should be high enough for the mathematician to work but also 'low enough for small children to use the bottom bit.'" 🥹 011
Reposted by Miles LungerKingfisher & Wombat @tkingfisher.com · 26/08/2026So I’m gathering up my weird nature facts for the Hugo ceremony—I am the toastmaster, and this is gonna be EDUCATIONAL—and I found one that was actually a little more unsettling than I wanted. You all prepared? 571158130
Reposted by Miles LungerThe Public Domain Review @publicdomainrev.bsky.social · 31/05/2026#OnThisDay in 1921, several thousand white citizens and authorities began to violently attack the Black community of Greenwood in Tulsa, Oklahoma. Karlos K. Hill investigates the disturbing photographic legacy of the Tulsa race massacre: publicdomainreview.org/essay/p... 28649
Miles Lunger @mileslunger.bsky.social · 31/05/2026This matches your table (row 5) as well as the approach I took (6 5-cells and 25 6-cells) 010
Miles Lunger @mileslunger.bsky.social · 31/05/2026Continuing to 5 dimensions the pattern would suggest the stericated 5-simplex. Half of it would have the following facets: - 6 5-cells - 15 tetrahedral prisms (a 6-cell with 8 vertices) - 10 3-3 duoprisms (a 6-cell with 9 vertices) 110
Miles Lunger @mileslunger.bsky.social · 31/05/2026So the pattern seems to be that we obtain the expanded n-simplex. In 3 dimensions we have the cuboctahedron (the cantellated tetrahedron). Expansion is to n dimensions as truncation is to 2, cantellation to 3 and runcination to 4. en.wikipedia.org/wiki/Expansi...en.wikipedia.orgExpansion (geometry) - Wikipedia 110
Miles Lunger @mileslunger.bsky.social · 31/05/2026en.wikipedia.org/wiki/Runcina... I believe this might be the 5-dimensional creature we're looking for. The full polyhedron has 10 tetrahedral facets and 20 triangular prisms, which are 5-cells generated by 6 vertices.en.wikipedia.orgRuncinated 5-cell - Wikipedia 100
Miles Lunger @mileslunger.bsky.social · 31/05/2026Then we should expect the half-polytope to have n+1 facets which each have n subfacets and (2^n)-n-2 facets with (n+1) subfacets. In n=3 dimensions, this matches with the 4 triangular and 3 square faces we see here. Now how do 5 4-hedra and 10 5-hedra fit together to form half of the 3-sphere? 110
Miles Lunger @mileslunger.bsky.social · 31/05/2026Assuming that each nontrivial vertex coloring produces a set of vectors that linearly span R^n (which I have not convinced myself of yet), then each such coloring generates a nondegenerate cone and thus a nondegenerate facet of this polytope. 100
Miles Lunger @mileslunger.bsky.social · 31/05/2026Each edge of a face corresponds to a change of one vertex's color, so the 3-gons come from the colorings which have exactly one red vertex or one blue vertex, because we can only change the color of the 3 remaining vertices. In the 4-gons, we can change any vertex color without becoming trivial. 100
Miles Lunger @mileslunger.bsky.social · 31/05/2026Now the cupola shape in the first post is the polytope described by the intersection of this conic decomposition of R^n with the (n-1)-sphere about the origin. In three dimensions, we see that this polyhedron consists of 3- and 4-gons, and each face corresponds to a non-trivial vertex coloring. 100
Miles Lunger @mileslunger.bsky.social · 31/05/2026And the plane bounding our half-space is the plane of the base vertex we chose, on the other side of which lies the parallel universe where we colored that vertex red to begin with. 100
Miles Lunger @mileslunger.bsky.social · 31/05/2026So each vertex defines a (hyper)plane parallel to the opposite facet of the simplex, and passing through this hyperplane corresponds to flipping the color of this vertex (I think). 100
Reposted by Miles LungerGreg Egan @gregegansf.bsky.social · 31/05/2026How can we generalise the fact that the angles at the vertices of a triangle add up to 180°, to apply to tetrahedra and higher-dimensional n-simplexes? Here’s a result discovered by Benoît Bertrand and Lucía López de Medrano that I learned from Omar Antolín. 2275
Miles Lunger @mileslunger.bsky.social · 24/05/2026Didn't realize the occasion, but knew something was afoot by Q2! Some tough ones in there 020
Reposted by Miles Lungervictoria scott @victoriascott.bsky.social · 21/05/2026if you are a trans reader of mine and you struggle to explain to cis family and friends why you hurt so much lately I wrote this so you can send it to them. I feel like we know this pain intimately but I want everyone to understand it, because we are going to need help if it’s ever going to stop. 201451467
Reposted by Miles LungerBK. Titanji @boghuma.bsky.social · 17/05/2026Bundibugyo ebolavirus outbreak in the DRC and Uganda has been declared a PHEIC by the WHO. The highest alert lever it has. This requires swift a and multinational response. Estimated death count is already 80! No vaccine, no rapid diagnostic tests. www.science.org/content/arti...science.orgBREAKING: WHO declares major outbreak of rare Ebola virus species in Congo and Uganda an international emergencyNo vaccines or treatments exist for Ebola Bundibugyo, which has caused hundreds of suspected cases and 80 deaths; WHO warns of 8304184
Reposted by Miles LungerAmanda Katz @katzish.bsky.social · 05/05/2026Uggggh. This attack makes me feel so protective of these few trans girls bold and organized enough about their identity to have applied to this amazing women’s college AND the whole community, now up for punishment by the Dept of Ed 1640872
Reposted by Miles Lungerthe ghost of heron's skeleton @thxnywy.art · 11/04/2026going for a walk a story in 4 parts #art 15916
Miles Lunger @mileslunger.bsky.social · 12/04/2026Ooh I somehow missed the original drawing, looking great! The fibers look like gummy laces getting pulled apart to me (spin spin sugar?) 010
Reposted by Miles LungerDr Tess Machling @tessmachling.bsky.social · 10/04/2026... alternatively you can have my sweets that look like artefacts! 🤣 #Archaeology 1323488
Reposted by Miles LungerReo Eveleth @reveleth.com · 31/03/2026It's Trans Day of Visibility and I wrote about how visibility without protection is a trap, and it often seems like the loudest calls for us to be visible are coming from those who have done nothing to protect us. www.coyotemedia.org/im-supposed-...coyotemedia.orgI’m Supposed to be Visible Today — But Why?Every year I wonder if visibility and joy are the same thing. And every year I am more and more convinced that the answer is no. 81173366
Reposted by Miles LungerAlice Averlong 🏳️⚧️ @alice.averlong.com · 31/03/2026Happy International Transgender Day of Visibility! We're everywhere and we're cool. Here's the trans pride flag 🏳️⚧️ on a mid-90s Pentium running DOS. 40103133389
Reposted by Miles LungerMelissa Barber @mbarber.bsky.social · 30/03/2026Today, MSF is going public with something we've been fighting behind closed doors for months: Gilead will not sell us their new HIV drug, lenacapavir. The sticking point isn't even price, they just refuse to sell. Open letter linked + explainer 🧵1/ www.doctorswithoutborders.org/latest/gilea...doctorswithoutborders.orgGilead refuses to sell groundbreaking HIV prevention drug to MSFBlocking humanitarian organizations from accessing a medical breakthrough puts vulnerable people across the world in danger. 2217121359
Reposted by Miles LungerJ. B. Bartram @jbbartram.bsky.social · 10/03/2026Mug progress!!!! Today was all about frogs, toads, and super-detailed leaf litter situations 👍 4397
Reposted by Miles LungerBenny Feldman @feldfrog.bsky.social · 18/02/2026Not gonna lie, sometimes I get inside the womb fluids tank when there’s no clone growing in there. It feels so good to float suspended like that and the juices do amazing things for my pores 0461
Miles Lunger @mileslunger.bsky.social · 19/02/2026Use a dupe glitch and you'll have a full stack (happy belated birthday!) 010
Reposted by Miles LungerBen Phillips @benphillips76.bsky.social · 17/02/2026I don’t know who needs to hear Jesse Jackson leading the kids on Sesame Street in this beautiful call-and-response reminding them that every child is somebody, but here it is 303216717672
Reposted by Miles LungerWeRateDogs @weratedogs.com · 10/02/2026we need to talk about that Ring Super Bowl ad 9623118613630
Reposted by Miles LungerArmin Wolf @arminwolf.at · 26/11/2025Diese Geschichte ist unfassbar. Weil der Trump-Regierung die Arbeit des Internationalen Strafgerichtshofs nicht passt, wird ein französischer Richter digital de facto ausgelöscht und bekommt keine Kreditkarte und kein Bankkonto mehr:derstandard.at"Digitale Auslöschung": Wie US-Sanktionen einen europäischen Richter lahmlegenNicolas Guillou ist von beinahe allen digitalen Diensten dieser Welt gesperrt – von Amazon bis Paypal. Europa wirkt dagegen völlig machtlos 771904962
Miles Lunger @mileslunger.bsky.social · 01/11/2025Very much enjoyed this mathsy puzzle zine by @mscroggs.co.uk. Also great for sharing. While some of the puzzle instructions could be clearer IMO, I'm looking forward to the next one :) 1131
Reposted by Miles Lunger the ghostes @rem.bsjky.team · 22/02/2025ok so what gets called "gender ideology" is jsut like "be who and how you want" and what gets called "not ideology" is like "follow these specific unwritten rules and perform these forbidden rituals according to the circumstances of your birth" 242514807
Miles Lunger @mileslunger.bsky.social · 04/02/2025Nice garden path sentence. I assume the counting is being done from space but the creatures are on earth? 110
Reposted by Miles LungerKatie Mack @astrokatie.com · 28/01/2025I think some people hear “grants” and think that without them, scientists and government workers just have less stuff to play with at work. But grants fund salaries for students, academics, researchers, and people who work in all areas of public service. “Pausing” grants means people don’t eat.washingtonpost.comWhite House pauses all federal grants, sparking confusionThe Trump administration has put a hold on all federal financial grants and loans, affecting tens of billions of dollars in payments. 15754322514326
Reposted by Miles LungerHowie Hua @howiehua.bsky.social · 25/12/2024Be on Santa's nice list by simply conveying what you mean mathematically clearly so we can stop having these PEMDAS arguments. #math #ITeachMath #EduSky 519036
Reposted by Miles LungerBilly Bragg @billybragg.bsky.social · 25/12/2024Merry Christmas to all 178192704539