#topology — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #topology, aggregated by home.social.
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The nuclear pore complex (7R5J & 7R5K) – one of the largest molecular machines in biology.
The nuclear pore complex is the gatekeeper of the cell nucleus – controlling everything that enters or leaves. We captured it in two states: open (dilated) and closed (constricted).
961665 quantum records
#StructuralBiology #Biophysics #Bioinformatics #Topology #InformationTheory #DNAFolding #ComputationalBiology #ComplexSystems #Genomics #OpenScience #EXXOGEN
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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.
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💁🏻♀️ TIL: 🧵🌐 The hairy ball #theorem says you can’t comb a #sphere smooth without a cowlick somewhere.
The same rule explains why #Earth always has a #cyclone spinning, why #fusion reactors use #doughnut shapes, and why omnidirectional antennas can’t exist. #Wind patterns over the #Arctic and #Antarctic circles illustrate the proof.
👉 https://www.scientificamerican.com/article/how-maths-hairy-ball-theorem-could-explain-bad-hair-days/
#topology #math #weather #hurricane #nuclearfusion #tokamak #plasma #science #hair
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🏛️ 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 -
River Network Routing And Discharge Partitioning On A Multichannel River Network
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https://doi.org/10.1029/2025WR041417 <-- shared paper
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"... KEY POINTS:
• River multifurcation pathways were identified in a vector river network globally
• A multifurcation scheme was added to a river network routing model to split river discharge at divergences
• Accounting for multichannels improved discharge accuracy and resulted in earlier arrival of flood waves downstream of divergences…”
#GIS #spatial #mapping #spatialanalysis #spatiotemporal #model #modeling #water #hydrology #river #stream #watercourse #floods #flooding #risk #hazard #benefit #network #segment #downstream #upstream #braiding #sinuosity #delta #complexity #flowdirection #remotesensing #confluence #bifurcations #divergence #multifurcation #discharge #topology #routing #global #landsurface #Pfafstetter #basin -
#BrianKeating - How Did Our #Universe Begin?
https://www.youtube.com/watch?v=2CYlLhlXaA4&ab_channel=CloserToTruth
#Philosophy #PhilosophyOfScience #Science #PhilosophyOfCosmology #Cosmology #Inflation #StandardModel #Guth #AlanGuth #MagneticMonopoles #Monopoles #FlatnessProblem #Topology #Gravity #GeneralRelativity #Multiverse #CloserToTruth #RobertKuhn
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Exploring the #topology of a fused #latentspace , made of two fine-tuned #stablediffusion models – my #solarpunk model, and my 'gold' #portrait model.
Working in this way means letting go, prompting at a higher-level of abstraction, and discovering the characters who inhabit this mysterious #manifold
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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