"Encode #spatial data as #topology in #Python!

With #topojson it is possible to reduce the size of your spatial data. Mostly by orders of magnitude."

https://mattijn.github.io/topojson/

Catfolk mathematicians are all topologists so they can use homeowmorphisms.

#Topology #homeowmorphism

2 knots: trefoil and pentafoil composed of rhombicosidodecahedra that can represent points as well #math #topology #geometry #geometrictopology #knots #knottheory

This is what you get when you invert a trefoil knot with the sphere:
#topology #mathematics #visualization

#topology #threejs

Knot inside a torus! Coming soon in the #parametric #surfaces Gallery
https://www.patreon.com/posts/parametric-124185005?utm_medium=clipboard_copy&utm_source=copyLink&utm_campaign=postshare_creator&utm_content=join_link

Mathematicians use geometric #topology to study the shape of the universe and everything in it. A #mathematics professor explains how the field explores every possible space across all dimensions, from simple 2D surfaces to intricate higher-dimensional realms.
#geometry #mathsky https://buff.ly/41zmuy2

Unexpected use of topology in the wikipedia "Lint" article.

Genus ≤ 3 is all you need!

If you're a Blender user owning the fabulous Quad Remesher auto-retopology add-on, you might want to check out this post over at @blenderartists , where a user presents an enhanced custom version of Quad Remesher's Blender bridge add-on…

https://blenderartists.org/t/quad-remesher-auto-retopologizer/1170913/643

New account, new introduction!

I'm Beth. I'm a queer mathematician who loves musical theater, webcomics, teaching math, and my cat.

Favorite areas of math: Topology, geometry, and combinatorics.

Favorite musicals: Chess, Into the Woods, Next to Normal, Sunday in the Park With George, Sweeney Todd

Favorite webcomics: this is long enough to get its own post:
https://transfem.social/notes/9ius8efgn12cewcz

#Introduction #Queer #Mathematician #Math #Musicals #MusicalTheater #MusicalTheatre #Webcomics #Teaching #TeachingMath #Cat #Cats #SillyGoose #Topology #Geometry #Combinatorics #Chess #ChessTheMusical #IntoTheWoods #NextToNormal #SundayInTheParkWithGeorge #SweeneyTodd #PandorasTaleWiki #RainverseWiki

I just saw the news that FreeCAD 1.0 has been released! They've resolved the most annoying problem, and I think it's an interesting one even if you're not into 3d printing: Certain design operations that change the topology of a 3d model would completely break it :(

This was called the "topo naming problem", because the root cause was (as far as I can tell) an ill-advised internal naming convention for vertices, edges, and faces. Since the naming convention was such a fundamental part of the software, fixing it took a *lot* of hard work. And, like every open source project, it also required resolving human problems between people who had different ideas for how to solve it.

Their 1.0 announcement post is sweet, and includes a nod to some of those difficulties, without airing all the dirty laundry. Worth a read, IMO.

https://blog.freecad.org/2024/11/19/freecad-version-1-0-released/

And, if you *are* into 3d printing but left FreeCAD because it was just too aggravating, maybe consider checking out this new version!

I created a #Python script with #AI that converts a triangular #mesh to a #quad #topology that takes sharp edges into account, a few seconds to generate the script and a few seconds to create the topology, it uses the default remesh in Blender but it works very fine. #b3d #Blender3D #Blender #qwen25

Building Good Topology and Retopology

https://video.blender.org/videos/watch/c548a32f-41cf-4fc0-95c0-d651ba22db8e

Awesome #PostGIS extension bonanza at #PostGISDay presented by Regina Obe

The topologist’s world map
https://tafc.space/qna/the-topologists-world-map/
This map only shows topology of national borders. Country shape and size are not shown. There is a much higher resolution image available at the link.
#Map #WorldMap #WorldBuilding #Topology

Hello! My brief #introduction: I'm a professor of #economics and a #publicpolicy scholar at Rice U. I use #math modeling to inform science-based policy. I work on the economics of emerging infectious diseases, climate and the energy transition, and using #gametheory to study symbiotic relationships in #ecology. In #math I am interested in #topology and have studied #fixedpoint theorems for locally contractive set-valued maps. I enjoy travel, kayaking, reading, and dreaming of classic cars.

#introduction

Part of the Migration. Moved from @4sphere@kolektiva.social

Interested in #topology (for fun and #TDA )
#GraphicalLinearAlgebra and similar notations like string diagrams and #ExistentialGraphs
#CurryHowardIsomorphism
#Semantics for humans and computers
#topoi
#CategoryTheory
#WordEmbeddings (in #NLP )
#language
#logic
#SFF
#History of science, math, societies
etc.

Trans rights are human rights; blm; workers solidarity; native rights; and all the various other ways of not being vile to people