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Miles Lunger

@mileslunger.bsky.social
56 followers 217 following 19 posts

Maths student in 🇩🇪

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Reposted by Miles Lunger
Lorenz Meyer @thereallorenzmeyer.bsky.social · 01/10/2026
Ich 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. 🧵
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ascalaphid @ascalaphid.com · 28/09/2026
kitchen duty
the monks havin a gab while leisurely preparing dinner
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Miles Lunger @mileslunger.bsky.social · 22/09/2026
From 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.'" 🥹
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Kingfisher & Wombat @tkingfisher.com · 26/08/2026
So 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?
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Benny Feldman @feldfrog.bsky.social · 02/06/2026
Some relatable jokes
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The 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...
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Miles Lunger @mileslunger.bsky.social · 31/05/2026
This matches your table (row 5) as well as the approach I took (6 5-cells and 25 6-cells)
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Miles Lunger @mileslunger.bsky.social · 31/05/2026
Continuing 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)
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Miles Lunger @mileslunger.bsky.social · 31/05/2026
So 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.org
Expansion (geometry) - Wikipedia
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Miles Lunger @mileslunger.bsky.social · 31/05/2026
*4-dimensional
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Miles Lunger @mileslunger.bsky.social · 31/05/2026
en.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.org
Runcinated 5-cell - Wikipedia
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Miles Lunger @mileslunger.bsky.social · 31/05/2026
Then 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?
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Miles Lunger @mileslunger.bsky.social · 31/05/2026
Assuming 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.
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Miles Lunger @mileslunger.bsky.social · 31/05/2026
Each 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.
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Miles Lunger @mileslunger.bsky.social · 31/05/2026
Now 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.
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Miles Lunger @mileslunger.bsky.social · 31/05/2026
And 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.
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Miles Lunger @mileslunger.bsky.social · 31/05/2026
So 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).
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Greg Egan @gregegansf.bsky.social · 31/05/2026
How 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.
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Miles Lunger @mileslunger.bsky.social · 24/05/2026
Didn't realize the occasion, but knew something was afoot by Q2! Some tough ones in there
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victoria scott @victoriascott.bsky.social · 21/05/2026
if 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.
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BK. Titanji @boghuma.bsky.social · 17/05/2026
Bundibugyo 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.org
BREAKING: WHO declares major outbreak of rare Ebola virus species in Congo and Uganda an international emergency
No vaccines or treatments exist for Ebola Bundibugyo, which has caused hundreds of suspected cases and 80 deaths; WHO warns of
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Amanda Katz @katzish.bsky.social · 05/05/2026
Uggggh. 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
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the ghost of heron's skeleton @thxnywy.art · 11/04/2026
going for a walk a story in 4 parts #art
a comic depicting two lizards; in the first frame, one waves to the other while exiting a door
the other remains, reading, as raindrops begin to fall out the window
the rain becomes a torrent
the other lizard returns, dripping, through the door
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Miles Lunger @mileslunger.bsky.social · 12/04/2026
Ooh I somehow missed the original drawing, looking great! The fibers look like gummy laces getting pulled apart to me (spin spin sugar?)
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Dr Tess Machling @tessmachling.bsky.social · 10/04/2026
... alternatively you can have my sweets that look like artefacts! 🤣 #Archaeology
The Cirencester cockerel in white chocolate with edible paintMrs Getty's early medieval brooch in milk chocolate with edible paintA selection of chocolate axes, combs, etcA chocolate torc with chocolate fondant wires.
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Reo Eveleth @reveleth.com · 31/03/2026
It'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.org
I’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.
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Alice Averlong 🏳️‍⚧️ @alice.averlong.com · 31/03/2026
Happy 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.
A CRT on top of a 90s PC (with floppy disk) showing the Trans Pride Flag
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Melissa Barber @mbarber.bsky.social · 30/03/2026
Today, 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.org
Gilead refuses to sell groundbreaking HIV prevention drug to MSF
Blocking humanitarian organizations from accessing a medical breakthrough puts vulnerable people across the world in danger.
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Miles Lunger @mileslunger.bsky.social · 10/03/2026
Oh woww, can't wait to see the fired colors :)
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J. B. Bartram @jbbartram.bsky.social · 10/03/2026
Mug progress!!!! Today was all about frogs, toads, and super-detailed leaf litter situations 👍
A partially-finished illustration on the side of a brown clay mug. There are outlines of mushroom and a fully painted frog who looks a little out of itSame mug situation, but this time the frog is inspired by a grumpy little rain frogAnother bisque-fired in-progress mug, this one with an elaborate illustration of leaf litter & the critters who live in itAnother view of a leaf litter mug
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Benny Feldman @feldfrog.bsky.social · 18/02/2026
Not 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
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Miles Lunger @mileslunger.bsky.social · 19/02/2026
Use a dupe glitch and you'll have a full stack (happy belated birthday!)
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Ben Phillips @benphillips76.bsky.social · 17/02/2026
I 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
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WeRateDogs @weratedogs.com · 10/02/2026
we need to talk about that Ring Super Bowl ad
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Armin Wolf @arminwolf.at · 26/11/2025
Diese 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 lahmlegen
Nicolas Guillou ist von beinahe allen digitalen Diensten dieser Welt gesperrt – von Amazon bis Paypal. Europa wirkt dagegen völlig machtlos
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Miles Lunger @mileslunger.bsky.social · 01/11/2025
bsky.app/profile/mscr...
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Miles Lunger @mileslunger.bsky.social · 01/11/2025
Very 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 :)
Photo of a puzzle booklet and a fountain pen
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­­ ­ ­ the­ ­­ ­ ­ ghostes @rem.bsjky.team · 22/02/2025
ok 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"
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Miles Lunger @mileslunger.bsky.social · 04/02/2025
Nice garden path sentence. I assume the counting is being done from space but the creatures are on earth?
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Katie Mack @astrokatie.com · 28/01/2025
I 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.com
White House pauses all federal grants, sparking confusion
The Trump administration has put a hold on all federal financial grants and loans, affecting tens of billions of dollars in payments.
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Howie Hua @howiehua.bsky.social · 25/12/2024
Be on Santa's nice list by simply conveying what you mean mathematically clearly so we can stop having these PEMDAS arguments. #math #ITeachMath #EduSky
Santa's naughty and nice list. Naughty is 6÷2(1+2). Nice is "6/((2(1+2)) or (6/2)(1+2)"
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Billy Bragg @billybragg.bsky.social · 25/12/2024
Merry Christmas to all
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