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refurioanachro.mathstodon.xyz.ap.brid.gy
Refurio Anachro
@refurioanachro.mathstodon.xyz.ap.brid.gy
2 followers 1 following 51 posts
I like to learn and popularize higher maths. I'm not a pro, but I can stomach corrections!

[bridged from https://mathstodon.xyz/@RefurioAnachro on the fediverse by https://fed.brid.gy/ ]
Posts Replies Media Videos
Reposted by Refurio Anachro
adrianriskin.kolektiva.social.ap.brid.gy
A FORGOTTEN EPISODE in French-occupied Naples in the years around 1800—just after the French Revolution—illustrates why it makes sense to see mathematics and politics as entangled. The protagonists of this story were gravely concerned about how mainstream mathematical methods were transforming […]
Original post on kolektiva.social
kolektiva.social
January 31, 2026 at 3:24 PM
refurioanachro.mathstodon.xyz.ap.brid.gy
Another random find. I was flipping through Wikipedia's articles on numbers, looking for a >50 dimensional polytope with some special property I can't remember. Many of these articles are quite terse, and instead of the stuff I find most interesting, like, the smallest example for a polytope […]
Original post on mathstodon.xyz
mathstodon.xyz
January 28, 2026 at 5:54 PM
refurioanachro.mathstodon.xyz.ap.brid.gy
"there are Mathematicians, if you talk to them about foundations, they say: go away! If you talk about philosophers, they run away." – Thorsten Altenkirch

At least I think the guy in this aboutlogic short is him.

https://www.youtube.com/watch?v=144PsTVaoCE
January 28, 2026 at 5:45 PM
refurioanachro.mathstodon.xyz.ap.brid.gy
I've been wanting to read Wigner's article 'The Unreasonable Effectiveness of Mathematics in the Natural Sciences' for a while now. So I just gave it a try! What did he actually say?

https://web.archive.org/web/20210212111540/http://www.dartmouth.edu/~matc/MathDrama/reading/Wigner.html

Reading […]
Original post on mathstodon.xyz
mathstodon.xyz
January 16, 2026 at 7:59 PM
Reposted by Refurio Anachro
codeismycanvas.universeodon.com.ap.brid.gy
Another visualization of the Mandelbrot equation, tracing the path of a few points starting in a small circle.

#mandelbrot #fractal #mathart #generativeart
Abstract image of yellow galaxy-like spiral curves with a blue toward the center and white dots sprinkled throughout.
December 26, 2025 at 5:55 PM
refurioanachro.mathstodon.xyz.ap.brid.gy
Merry Christmas everyone!
https://www.shadertoy.com/view/3f3fDf
#glsl
December 26, 2025 at 9:29 PM
refurioanachro.mathstodon.xyz.ap.brid.gy
Without context, identities by Ramanujan can seem intimidating and mysterious. We'll be looking at that context, so don't be afraid to take a glance at this one (see screen capture).

This identity is just one example of a family of identities that can be […]

[Original post on mathstodon.xyz]
Theorem(Rogers-Ramanujan): sum over k=0 to infinity of q^k^2 over (1-q)...(1-q^k) == product over m=0 to infinity of 1 over (1-q^(5m+1))(1-q^(5m+4)).
December 2, 2025 at 12:12 AM
refurioanachro.mathstodon.xyz.ap.brid.gy
2swap's take on solving the quintic starts out with a beautifully animated version of the fractal picture generated by plotting solutions to polynomials with coefficients chosen from the set {0,1}. Also: gorgeous phase portraits of roots in the complex plane! […]
Original post on mathstodon.xyz
mathstodon.xyz
November 26, 2025 at 2:21 AM
Reposted by Refurio Anachro
highergeometer.mathstodon.xyz.ap.brid.gy
This is fun: a "Fano pyramid" https://observablehq.com/d/d6c64a332f60b1ee
cc @DavidKButler

"These Fano pyramid matroids can also be placed in a larger Fano pyramid based on how they relate to each other!"
Fano Pyramid
This shows PG(3,2) geometry. All fifteen points are cyclic two groups represented as under addition, with elements Each of the 35 lines are Klein four groups , and each of the 15 planes are Fano planes . The whole pyramid is . 1: https://en.wikipedia.org/wiki/PG(3,2) Each Fano pyramid can be considered a matroid. Any two matroids can be added together by adding each pair of points at the same position. These Fano pyramid matroids can also be placed in a larger Fano pyramid based on how they relate to e
observablehq.com
November 25, 2025 at 10:47 PM
Reposted by Refurio Anachro
highergeometer.mathstodon.xyz.ap.brid.gy
This is an *excellent* short snippet of maths/science communication by Hannah Fry

https://www.youtube.com/shorts/2gtg3ohR0ks
November 20, 2025 at 12:14 AM
Reposted by Refurio Anachro
andrejbauer.mathstodon.xyz.ap.brid.gy
RE: odon.xyz/@egbertrijke/115528036589916180" class="hover:underline text-blue-600 dark:text-sky-400 no-card-link" target="_blank" rel="noopener" data-link="bsky">https://mathstodon.xyz/@egbertrijke/115528036589916180

Congratulations to @egbertrijke on the publication of his textbook on homotopy type theory and univalent mathematics!

For many of us classically trained mathematicians, learning univalent mathematics and type theory meant adapting to […]
Original post on mathstodon.xyz
mathstodon.xyz
November 11, 2025 at 2:36 PM
refurioanachro.mathstodon.xyz.ap.brid.gy
Physics experiments are hard. Just look what the expert in the video needs to think of! And that is for an experiment you do at home, although controlling variables like James is probably beyond mere play.

https://www.youtube.com/watch?v=JfSY1SXbiTI
October 30, 2025 at 2:24 AM
refurioanachro.mathstodon.xyz.ap.brid.gy
Cyclomatic complexity is a simple measure of program complexity based on homology. Your code has Betti numbers!

If you are familiar with homotopy type theory, it may not seem very surprising that homology can be used for something like this. After all, that's part of what HoTT is all about […]
Original post on mathstodon.xyz
mathstodon.xyz
October 27, 2025 at 9:34 PM
refurioanachro.mathstodon.xyz.ap.brid.gy
The Kneser graph K(n,k) has nodes for each k-element subset of an n-element set. And there is an edge whenever the subsets don't overlap. Kneser gaphs are pretty: K(4,2) is an octahedron, K(5,2) the Petersen graph.

https://en.wikipedia.org/wiki/Kneser_graph

I looked at them while following […]
Original post on mathstodon.xyz
mathstodon.xyz
October 26, 2025 at 8:33 PM
refurioanachro.mathstodon.xyz.ap.brid.gy
Let's color the vertices of a graph G. Remember, we never use the same color on nodes that are connected by an edge. The minimal number of colors required is called chromatic number of G. The chromatic number of any chain is 2. If we close up a chain to a […]

[Original post on mathstodon.xyz]
a graph where each node is colored with two colors side by side.
October 25, 2025 at 7:04 PM
refurioanachro.mathstodon.xyz.ap.brid.gy
Status Update: Got myself a working Tusky again, so I can read maths on my phone! Nice to be here with you folks! My recent new friends don't seem to get much of the maths I have been trying to explain to them (see picture), but they love numbers. That is, as […]

[Original post on mathstodon.xyz]
October 22, 2025 at 8:39 PM
refurioanachro.mathstodon.xyz.ap.brid.gy
For every complex number c there is a julia set. We can find out if a julia set is disconnected by computing the orbit of the origin. If it is bounded (stays within a circle around the origin of radius 2) then the julia set is connected, otherwise it's totally […]

[Original post on mathstodon.xyz]
Hybrid julia with two points. Two kinds of mandelbrot set are shaded in the background.
September 10, 2025 at 12:58 AM
refurioanachro.mathstodon.xyz.ap.brid.gy
This digram triggers me more than it should. Folks...
Well, Sorry. I've seen it used in this (otherwise very cool) post:
https://golem.ph.utexas.edu/category/2025/08/burrito_monads_arrow_kitchens.html
harshly cropped illustration with nested boxes. Box boundaries aren't respected, and what's up with the dashed frame? hyphenation is used where it's not needed and not used where it is.
August 31, 2025 at 4:44 PM
refurioanachro.mathstodon.xyz.ap.brid.gy
Why are people even talking about groups. That pesky identity. Ignoring it seems so much simpler. But what would we study groups without identity¹ with? Groups! I feel tricked. It's almost as if mighty clever people conspired to come up with all this.

¹' These are called associative quasigroups.
March 26, 2025 at 9:24 PM
refurioanachro.mathstodon.xyz.ap.brid.gy
As promised, here some commented links to Youtube channels I like to watch. Most of them are about maths or astro, but not all of them. I am intentionally not starting with the most popular ones. Oh, and I'd love to hear about your favorite channels, too! If you write a few lines about your […]
Original post on mathstodon.xyz
mathstodon.xyz
March 2, 2025 at 10:09 PM
refurioanachro.mathstodon.xyz.ap.brid.gy
Jos Leys makes cool mathsy images and animations. He's been working on (perhaps in an obsessive way) a long series of animations illustrating how obnoxious the idea of a flat earth is. This one I find especially dramatic!

https://www.youtube.com/watch?v=hAWzBgx7t40

Thanks, Jos, great work!
Life & Work of Mathematician & Philosopher of Infinity, Joel David Hamkins | The Human Podcast
Joel David Hamkins is a Mathematician and Philosopher who researches infinity. He is the O'Hara Professor of Philosophy and Mathematics at the University of ...
www.youtube.com
January 12, 2025 at 3:56 PM
refurioanachro.mathstodon.xyz.ap.brid.gy
Joel David Hamkins as first guest in Joe Murray's The Human Podcast's new format 10 Questions (in 10 minutes).

10 Questions With: Infinity Expert Joel David Hamkins
https://www.youtube.com/watch?v=MvfXFpJX2ps
10 Questions With: Infinity Expert, Joel David Hamkins (New Series, Ep 1)
*Welcome to a new series where I ask fascinating people 10 intriguing questions.**The first episode is with Professor Joel David Hamkins, a Mathematician/Phi...
www.youtube.com
January 12, 2025 at 3:36 PM