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#mathematics

31 posts29 participants0 posts today
Public *
Dani Laura (they/she/he)

Artworks based on dividing a rectangle/square into two rectangles, by splitting the larger side in a fixed proportion, and iterating recursively. Colors are computed from the shapes of the parent rectangles. (Procedure similar to
mathstodon.xyz/@DaniLaura/1140 ).
The first two pieces use the inverse of copper ratio (sqrt(5) - 2) and e^(-pi/2) respectively. The other two use the golden ratio, notice in the first how the splitting is more regular albeit not periodic (the colors here are just related to the shape of each rectangle so that it becomes more apparent). The last one was divided more in depth and the borders were not drawn to produce a texture.
#MathArt #Mathematics #modernart #ArtistsOnMastodon #mastoart #GenArt #tiling

Artwork of shapes with right angles, colors black, white and shades of yellowish orange and violet.
Artwork of rectangles of different proportions, colors black, white and shades of violet.
Artwork of rectangles of 5 different proportions/orientations, each different one using colors white, red, pink, light and dark green. The structure is more regular than the previous albeit not periodic.
Texture using black, white, and shades of red, orange and yellow.
Public
Charo del Genio

New paper, just out.

Often, in real-world situations, one does not know the full structure of a network. However, at the same time, one can often observe some interactions that take place on it, and may be interested in knowing its full structure. For example, one may be detecting some partial criminal activity and may want to determine the whole organization. We consider higher-order networks, which are structures with many-body interactions, and specifically simplicial complexes, and show that one can reconstruct a whole network almost perfectly simply by observing the transient of the dynamics that takes place on it. In fact, we give 3 different algorithms to do it, with different complexities and accuracies, so you can choose which one suits you best.

Nine plots, arranged in a 3-by-3 grid. The columns, left to right, correspond to three real-world data sets, marked "Malawi", "SFHH" and "LH10", left to right. The rows, from top to bottom, correspond to the three algorithms introduced in the article, namely PBP, GLO and GLOC. Each plot show how the F1 score, on the y axis, very quickly approaches almost 100% for 1-simplices and 2-simplices as the size of the observation set, on the x axis, increases. In general, GLO and GLOC perform better than PBP.
#physics#mathematics#networks
Public
Doomyflo 🐧🤘📚

Dernière création thème Maths : le nombre d'or en fil doré en forme de lettre Phi
un seul exemplaire actuellement
donnez moi votre avis, merci d'avance
#crochet #fiberarts #mathematics #maths #nombredor #phi
doomyflocrochet.com/fr/peluche

Boutique crochet tricot e-commerce artisanat fait main Crochet et Geek DoomyflocrochetNombre d'or Phi peluche decorative au crochet et fil doréPeluche décoration inspirée du nombre d'or Phi Pour mathématiciens, étudiants, profs, chercheurs Fait-main avec du fil métallisé or En viscose et polyester Techniques: Crochet et couture, broderie Yeux plastiques jaune de sécurité Bouche brodée en fil coton noir Rembourrage ouate synthétique indéformable Taille : 11 cm de haut; 10cm de large niveau des anses Tient seul debout Poids : 30g Lavable main; ne jamais repasser Ne convient pas en dessous de 3 ans ( ce n'est pas un jouet)
Public
Bibliolater 📚 📜 🖋

🔴 **Descartes’ Mathematics**

“_In La Géométrie, Descartes details a groundbreaking program for geometrical problem-solving—what he refers to as a “geometrical calculus” (calcul géométrique)—that rests on a distinctive approach to the relationship between algebra and geometry._”

Domski, Mary, “Descartes’ Mathematics”, The Stanford Encyclopedia of Philosophy (Summer 2025 Edition), Edward N. Zalta & Uri Nodelman (eds.), forthcoming URL = <plato.stanford.edu/archives/su>.

#Descartes#History#HistSci
Public
barefootstache

This uses #TurfJs polygon length function to calculate its circumference. The underlying sorting of the coordinates uses polar coordinates, since that is how they are being randomly generated. By first sorting over the degrees and the distances.

For most instances this is a pretty good estimate, though in some case a self-intersecting polygon can be created, which hints that there is a more optimized polygon.

Further this problem is a typical 'travelling salesman problem' which can be solved via various algorithms.

Though before considering such optimization issues, there is the main question if the randomly generated POI is even accessible to the public.

In the case one is a pedestrian, one could use #overpass to gather information if any #OpenStreetMap highways exist in the proximity to the POI and then find the one that is the closest and permissive to pedestrians. Then move the POI to that location.

This example only works if there is enough #OSM data at the location.

#mathematics#maths
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petersuber

Today the editorial board of _Mathematical Logic Quarterly_ (pub'd by #Wiley) resigned and launched a new #DiamondOA journal on the same topics.
open-access.network/services/n

See the open letter announcing their resignations and plans for the new journal.
zml.international/files/zml-op

The new journal has a German title but will publish in English, _Zeitschrift für Mathematische Logik und Grundlagen der Mathematik_.
zml.international/

I track these journal "declarations of independence" in the #OpenAccessDirectory (#OAD), and just added an entry for this one, at the bottom in chronological order.
oad.simmons.edu/oadwiki/Journa

I also track them — and discussions of them — in the Open Access Tracking Project (#OATP, @oatp).
tagteam.harvard.edu/hubs/oatp/

open-access.networkRücktritt des MLQ-Editorial-TeamsReaktion auf Differenzen mit Wiley: Gründung eines neuen Open Access Journals 
#Logic#Mathematics#OpenAccess
Continued thread
Public
janhoglund

“…the AIs were never able to recognize when they had not solved the problem. In every case, rather than give up, they confidently output a proof that had a large gap or an outright error.”
—Ernest Davis & Gary Marcus, Reports of LLMs mastering math have been greatly exaggerated
#mathematics #llm #llms #ai

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