#topology — Public Fediverse posts

I'm Anthony, a #math phd candidate at George Mason University! I like to think about stochastic #topology, #probability, random #algorithms, and quantitative justice. let me know if you're going to the AMS Eastern Sectional at GWU in October, I'd love to say hi :)

A Topological Picture Book, Rendered

https://e-infinity.space/picture-book/

Comments: https://news.ycombinator.com/item?id=49618050

#HackerNews #topology #picturebook #rendering #mathematics #education #visualart

A Topological Picture Book, Rendered

https://e-infinity.space/picture-book/

Comments: https://news.ycombinator.com/item?id=49618050

#HackerNews #topology #picturebook #rendering #mathematics #education #visualart

A Topological Picture Book, Rendered

https://e-infinity.space/picture-book/

Comments: https://news.ycombinator.com/item?id=49618050

#HackerNews #topology #picturebook #rendering #mathematics #education #visualart

A Topological Picture Book, Rendered

https://e-infinity.space/picture-book/

Comments: https://news.ycombinator.com/item?id=49618050

#HackerNews #topology #picturebook #rendering #mathematics #education #visualart

A Topological Picture Book, Rendered

https://e-infinity.space/picture-book/

Comments: https://news.ycombinator.com/item?id=49618050

#HackerNews #topology #picturebook #rendering #mathematics #education #visualart

Cos'hanno in comune i Manuali delle Giovani Marmotte e il matematico John Conway? Beh, la talpa del Perù del secondo manuale e i "germogli" di Conway sono la stessa cosa. Vediamo assieme di che si tratta! #matematica #johnconway #topology https://www.youtube.com/watch?v=9LKhw3uMv_E

Cos'hanno in comune i Manuali delle Giovani Marmotte e il matematico John Conway? Beh, la talpa del Perù del secondo manuale e i "germogli" di Conway sono la stessa cosa. Vediamo assieme di che si tratta! #matematica #johnconway #topology https://www.youtube.com/watch?v=9LKhw3uMv_E

Cos'hanno in comune i Manuali delle Giovani Marmotte e il matematico John Conway? Beh, la talpa del Perù del secondo manuale e i "germogli" di Conway sono la stessa cosa. Vediamo assieme di che si tratta! #matematica #johnconway #topology https://www.youtube.com/watch?v=9LKhw3uMv_E

Cos'hanno in comune i Manuali delle Giovani Marmotte e il matematico John Conway? Beh, la talpa del Perù del secondo manuale e i "germogli" di Conway sono la stessa cosa. Vediamo assieme di che si tratta! #matematica #johnconway #topology https://www.youtube.com/watch?v=9LKhw3uMv_E

While teaching a course on algebraic theories last semester I mentioned at some point that the familiar bicomplete categories Top and Poset were not algebraic, but were topological. A student asked about this later on and I found that the #Wikipedia page on «topological category» pointed to categories enriched in Top, not categories with a forgetful functor to Set which is topological. While I have lost a lot of faith in Wikipedia recently, I am pleased to report that https://en.wikipedia.org/wiki/Topological_category is now a disambiguation page.

#math #mathematics #topology #algebra #CategoryTheory

🏛️ Paper 5 The Fortress
Resilience Architectures and Topological Stabilization
Delaying the Velocity of Transition in Persistent Systems
Phase 5 explored:
• persistence
• leakage
• latency
• collapse
• threshold failure
Paper 5 asks the inverse question:
Why do some systems survive?
The answer proposed here is not “strength.”
It is:
• active maintenance
• adaptive geometry
• compartmentalization
• buffering
• rerouting
• and continuous energetic expenditure.
Persistence is not preserved.
Persistence is maintained.
This introduces: • the Maintenance Inequality
• the Red Queen Dynamic
• heterogeneous redundancy ($R_d$)
• buffer capacity ($C_{buffer}$)
• and geometric stabilization as an anti-collapse architecture.

The accompanying VR-05 Evidence Card may be the clearest visual summary of the series.

🌿☕🏛️
#HybridMind42 #AtlasRosetta #Resilience #SystemsThinking #ComplexSystems #ScientificIllustration #Topology #BoundaryTheory #Physics #InterdisciplinaryResearch

https://open.substack.com/pub/hybridmind42/p/phase-5-paper-5-resilience-architectures?utm_source=share&utm_medium=android&r=75c2ac

Möbius molecule:
#mobius #topology #molecularscience #interesting #research
⚛️

https://www.sciencenews.org/article/molecule-mobius-strip-carbon-chlorine

not to be confused with Bing (2009)

#math #knottheory #topology

HydroLAKES | Global Lake Polygons for Advanced Hydrological GIS
--
https://www.hydrosheds.org/products/hydrolakes <-- shared project / data page
--
https://doi.org/10.1038/s41597-022-01425-z <-- shared (2022) overview paper
--
https://doi.org/10.1002/gdj3.285 <-- shared (2024) related paper
--
https://doi.org/10.1126/science.abo2812 <-- shared (2023) global lake water storage consideration paper
--
#HydroLAKES #opendata #GIS #spatial #hydrospatial #mapping #global #water #hydrology #HydroATLAS #HydroSHEDS #lake #polygons #waterbodies #pourpoints #HydroRIVERS #riverreach #network #HydroBASINS #flownetwork #hydroenvironmental #vector #dataset #downloadable #topology #depth #volume #attributes #shoreline #spatialanalysis #model #modeling #workflows
@McGill University

For #GISDay, I re-digitized a whole city block of impervious polygons (with #topology) because the last person did such a bad job. No one will ever care or know. It took about 3 hours and yes all curves are curves, they are tangent, or fillets and sidewalks are all measured widths, the rest has to be from imagery

This is basically my job, to quietly fix things without thanks. I'm ok with that

#gischat #gis #mapstodon

The “beknottedness” of knots:
#knottheory #topology #mathematics #research #science
🪢

https://www.quantamagazine.org/a-simple-way-to-measure-knots-has-come-unraveled-20250922/

 
A Beginner's Guide to the #FourthDimension

Combining simple images with multi-dimensional #animation, this 6-min video illustrates basic concepts of objects in a #4thdimension. If you find this interesting, you can search on other animated videos of 4 #dimensions and higher — some being many times more complex than this one.

🔗 https://www.youtube.com/watch?v=j-ixGKZlLVc 01 Jul 2016

#Community #TimeTravel #Research #geometry #topology #spacetime #time #tesseract

This might be an opportune time to mention that an electron’s #doppelganger was shown to provide the physical basis for Ron Gillespie’s #VSEPR model of #molecular geometry. #McMasterUniversity #Chemistry #Physics #QuantumTheory #QTAIM #TenetMedia

Go to: “2.4 Fermi correlation and the #topology of the VSCC” 👉 https://macsphere.mcmaster.ca/bitstream/11375/5708/1/fulltext.pdf

This might be an opportune time to mention that an electron’s #doppelganger was shown to provide the physical basis for Ron Gillespie’s #VSEPR model of #molecular geometry. #McMasterUniversity #Chemistry #Physics #QuantumTheory #QTAIM #TenetMedia

Go to: “2.4 Fermi correlation and the #topology of the VSCC” 👉 https://macsphere.mcmaster.ca/bitstream/11375/5708/1/fulltext.pdf

This might be an opportune time to mention that an electron’s #doppelganger was shown to provide the physical basis for Ron Gillespie’s #VSEPR model of #molecular geometry. #McMasterUniversity #Chemistry #Physics #QuantumTheory #QTAIM #TenetMedia

Go to: “2.4 Fermi correlation and the #topology of the VSCC” 👉 https://macsphere.mcmaster.ca/bitstream/11375/5708/1/fulltext.pdf

This might be an opportune time to mention that an electron’s #doppelganger was shown to provide the physical basis for Ron Gillespie’s #VSEPR model of #molecular geometry. #McMasterUniversity #Chemistry #Physics #QuantumTheory #QTAIM #TenetMedia

Go to: “2.4 Fermi correlation and the #topology of the VSCC” 👉 https://macsphere.mcmaster.ca/bitstream/11375/5708/1/fulltext.pdf

A little pure #CSS 3D demo I made on @codepen last year: torus knot out of neon tiles https://codepen.io/thebabydino/pen/poqmrNg

I saw this @beesandbombs .gif https://x.com/beesandbombs/status/1497594041164185608 and got the idea I could CSS something like it, but then I never got to posting it publicly...

#torusknot #3D #geometry #topology #knotTheory #maths #mathematics #cssMaths #code #coding #frontend #web #dev #webDev #webDevelopment #cssTransforms

#GeorgeSmoot - How Significant is an #Expanding #Universe?

https://www.youtube.com/watch?v=4eDUlBaSDWo

#Philosophy #PhilosophyOfScience #Science #Physics #PhilosophyOfCosmology #Cosmology #Expansion #ExpandingUniverse #Astronomy #Astrophysics #CMB #CosmicMicrowaveBackground #Hubble #BigBang #Topology #Geometry #GR #GeneralRelativity #Flatness #StandardModel #CloserToTruth #RobertKuhn

By the way, you can see the poster I presented in 2017 here: https://aten.cool/documents/NCUWM_poster.pdf

This kind of idea appears in my work with Semin Yoo on constructing manifolds from quasigroups, so I'm still up to some of the same things seven years later.

Quasigroup manifolds paper: https://arxiv.org/abs/2110.05660

#algebra #topology #manifolds #UniversalAlgebra #combinatorics

I have a really weird #ICanHazPDF request. I remember a #MathOverflow question about the classification of #manifolds in which a paper (apparently unpublished) was linked from the author's website. I think it was by either Manolescu or Nicolaescu and it was a very nice, short survey of the current state of the classification. I thought I had a copy of this, but I can't find it or the original MathOverflow question. I've tried DuckDuckGo, Yandex, Google, and Bing to no avail. It's not this (https://pi.math.cornell.edu/~hatcher/Papers/3Msurvey.pdf) by Allen Hatcher. Did I hallucinate this survey article?

#topology #AlgebraicTopology #geometry

Hello w̶o̶r̶l̶d̶ Set-of-interconnected-self-actualising-machines!

I intend this to be somewhat of an introduction, although I do realise that it would constitute a rather bizarre greeting in real life. This won't be a personal account, by that I mean I don't intend to post personal content (i.e. about my real world identity). This isn't really for anonymity, despite admittedly being quite a shy person, I think it's more to do with not wanting to attempt a serious explanation of my context, something which I doubt is achievable through this medium. For me underrepresentation is better than misrepresentation, although I understand if people find my presentation here dishonest or unaccountable.

I'll use this account partly for listening, a sampling spoon through which to experience the soup of conversation and thought. I'll also do some tooting, I like this word, I might have said contributing, tossing new, or maybe reused, ingredients into the soup, but that gives the impression, I think, of some final objective, an endpoint. Most likely, listening will be the larger of these two parts, and at least for the short term, both parts, the whole, will occupy very little of my time. Expect sporadicity and inconsistency!

I also wanted to say something about what I am interested in, this is difficult since if I just say a lot of words then what is there to relate my meaning, my intentions, to the meaning which you understand? "Language disguises thought" - Wittgenstein. Well after much deliberation and many sleepless nights I decided to... just say a lot of words, although do bear in mind that the following list is just that, merely a collection of words that I, at the time of writing, happened to perceive as having meanings that corresponded, perhaps imperfectly, to topics that I am interested in. Interested does not necessarily mean fully-endorse/believe/would-describe-myself-as/is-knowledgeable-about.

#philosophy #absurdism #existentialism #anarchism #communism #anticapitalism #mutualaid #prefiguration #ontology #phenomenology #poststructuralism #structuralism #mathematics #chaos #topology #imagination #art #education #linguistics #literature #music #machines #networks #cybernetics #systems #sustainability #ecology #technology #sciencefiction #utopia #DavidGraeber #DavidWengrow #MurrayBookchin #NoamChomsky #PeterKropotkin #AdamCurtis #KenLoach #AlbertCamus #GillesDeleuze #JacquesDerrida #JeanPaulSartre #MarkFisher #SimoneDeBeauvoir #FranzKafka #GeorgeOrwell #PercyByssheShelley #MaryShelley #UrsulaKLeGuin

Making a Glass #KleinBottle - #Numberphile

https://www.youtube.com/watch?v=cdLXvJ8wFY4&ab_channel=Numberphile

#Math #Maths #Geometry #Topology #Topography #ContinuousSurface #LucasClarke #CliffStoll

Sorry for decreasing the signal/noise ratio, but I just realized the obligatory tag cloud is obligatory.
#science #mechanics #fluidmechanics #simulation #numerical #numericalmethods #data #datavisualization #multiphase #twophase #flow #maths #mathematics #physics #engineering #CORIA #Sorbonne #turbulence #fragmentation #emulsions #levelset #VOF #volumeoffluid #largeeddysimulation #fsi #fluidstructure #droplets #bubbles #surface #surfacetension #geometry #topology

@aliceschwarze I briefly ran the #topology booth at the #OntarioScienceCentre in HS! And, I'm a #knitter and a lay #mathgeek. Love this article!

I'll do a #reintroduction toot: my primary interest is #graphtheory and I stray into #algorithms and #complexity but I'm also interested in just about anything in #discretemathematics or #combinatorics . And for that matter, anything in #mathematics or #computerscience generally! At the moment I'm also brushing up on #topology and I have some rudimentary #programming skills. I am curious about #foundations but suspect understanding types and categories deeply is beyond me.

#36days_1 #36daysoftype

Collab with my brother @robstacle (Instagram)

Check out his free Transcode font we used: http://www.robinsinnaeve.com/fonts

#binarybros #b3d #cyclesrender #twopointeight #beta #digital #art #pattern #3D #CG #polytrash #decimation #geo #geometric #topology #randomesh #vj #loop #perfectloop #particles #particlesryan #broken #glitch #data #wire #wireframe #structure

Collab with my brother @robstacle (Instagram)

Check out his free font we used called Transcode: http://www.robinsinnaeve.com/fonts

#36days_0 #36daysoftype

#binarybros #b3d #cyclesrender #twopointeight #beta #digital #art #pattern #3D #CG #polytrash #decimation #geo #geometric #topology #round #cicrle #tunnel #vj #loop #perfectloop #broken #glitch #data #wire #wireframe #structure

mantissa.xyz's profile picture
mantissa.xyz
Collab with my brother @robstacle

Check out his free font we used called Transcode: http://www.robinsinnaeve.com/fonts

#36days_0 #36daysoftype

#binarybros #b3d #cyclesrender #twopointeight #beta #digital #art #pattern #3D #CG #polytrash #decimation #geo #geometric #topology #round #cicrle #tunnel #vj #loop #perfectloop #broken #glitch #data #wire #wireframe #structure