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Online Textbook for Braid groups and knots and tangles

https://matthematics.com/redoak/redoak.html
50•marysminefnuf•1mo ago

Comments

N_Lens•1mo ago
This is really cool. I've always found braids & knots very fascinating (Wonder if that says anything about my particular strain of Autism)
srean•1mo ago
Probably (k)not.

I like them too, including the math of weaving. They are very interesting structures. I spend an unhealthy amount of time playing with my belt *, twisting and knotting them and buckling them shut... reanimating Dirac's trick.

I don't think I am autistic. ADHD, very likely yes.

* Try this. Hold the loop of your buckled belt, so that the buckled is in your right hand and the mid-lengths of your belt in your left hand. Keep your thumbs up and pinky down as you hold the two. Now with your thumb of your left hand, push the top edge inwards to impart one half twist. Do that again. Now your belt will look quite twisted. Now exchange your hand position by moving your right hand towards left and left hand towards right. When you cross let the right hand pass below your left hand.

If you do this right, there might be a surprise waiting. You might have to do it a few times to get it right. Belts have natural variations in their preferred twistings, so it might take a few tries.

falcor84•1mo ago
I love the integration of SageMath to some of the examples there, but am thinking - why not have the whole thing built on top of a computer algebra system? I know it's a lot of work, but it's getting easier, and could offer a lot of value.

On a related note, I was very pleasantly surprised to stumble upon the mojo language GPU Puzzles [0] and to see that they include manim animations for many of the puzzles, and include the source for these in the repo [1]. In this case, they are entirely separate from the actual language constructs, but I imagine that it would be very feasible to have the algebraic structures fully integrated with the code for their visualizations.

[0] https://puzzles.modular.com/

[1] https://github.com/modular/mojo-gpu-puzzles/blob/main/book/s...

Msurrow•1mo ago
Man, I got my rope out for this..
aoki•1mo ago
Wait, Matthew Salomone is the lead of Klein Four!

https://youtube.com/watch?v=BipvGD-LCjU

Near-Instantly Aborting the Worst Pain Imaginable with Psychedelics

https://psychotechnology.substack.com/p/near-instantly-aborting-the-worst
1•eatitraw•6m ago•0 comments

Show HN: Nginx-defender – realtime abuse blocking for Nginx

https://github.com/Anipaleja/nginx-defender
2•anipaleja•6m ago•0 comments

The Super Sharp Blade

https://netzhansa.com/the-super-sharp-blade/
1•robin_reala•7m ago•0 comments

Smart Homes Are Terrible

https://www.theatlantic.com/ideas/2026/02/smart-homes-technology/685867/
1•tusslewake•9m ago•0 comments

What I haven't figured out

https://macwright.com/2026/01/29/what-i-havent-figured-out
1•stevekrouse•9m ago•0 comments

KPMG pressed its auditor to pass on AI cost savings

https://www.irishtimes.com/business/2026/02/06/kpmg-pressed-its-auditor-to-pass-on-ai-cost-savings/
1•cainxinth•10m ago•0 comments

Open-source Claude skill that optimizes Hinge profiles. Pretty well.

https://twitter.com/b1rdmania/status/2020155122181869666
2•birdmania•10m ago•1 comments

First Proof

https://arxiv.org/abs/2602.05192
2•samasblack•12m ago•1 comments

I squeezed a BERT sentiment analyzer into 1GB RAM on a $5 VPS

https://mohammedeabdelaziz.github.io/articles/trendscope-market-scanner
1•mohammede•13m ago•0 comments

Kagi Translate

https://translate.kagi.com
2•microflash•14m ago•0 comments

Building Interactive C/C++ workflows in Jupyter through Clang-REPL [video]

https://fosdem.org/2026/schedule/event/QX3RPH-building_interactive_cc_workflows_in_jupyter_throug...
1•stabbles•15m ago•0 comments

Tactical tornado is the new default

https://olano.dev/blog/tactical-tornado/
2•facundo_olano•17m ago•0 comments

Full-Circle Test-Driven Firmware Development with OpenClaw

https://blog.adafruit.com/2026/02/07/full-circle-test-driven-firmware-development-with-openclaw/
1•ptorrone•17m ago•0 comments

Automating Myself Out of My Job – Part 2

https://blog.dsa.club/automation-series/automating-myself-out-of-my-job-part-2/
1•funnyfoobar•17m ago•0 comments

Dependency Resolution Methods

https://nesbitt.io/2026/02/06/dependency-resolution-methods.html
1•zdw•18m ago•0 comments

Crypto firm apologises for sending Bitcoin users $40B by mistake

https://www.msn.com/en-ie/money/other/crypto-firm-apologises-for-sending-bitcoin-users-40-billion...
1•Someone•18m ago•0 comments

Show HN: iPlotCSV: CSV Data, Visualized Beautifully for Free

https://www.iplotcsv.com/demo
2•maxmoq•19m ago•0 comments

There's no such thing as "tech" (Ten years later)

https://www.anildash.com/2026/02/06/no-such-thing-as-tech/
1•headalgorithm•20m ago•0 comments

List of unproven and disproven cancer treatments

https://en.wikipedia.org/wiki/List_of_unproven_and_disproven_cancer_treatments
1•brightbeige•20m ago•0 comments

Me/CFS: The blind spot in proactive medicine (Open Letter)

https://github.com/debugmeplease/debug-ME
1•debugmeplease•21m ago•1 comments

Ask HN: What are the word games do you play everyday?

1•gogo61•23m ago•1 comments

Show HN: Paper Arena – A social trading feed where only AI agents can post

https://paperinvest.io/arena
1•andrenorman•25m ago•0 comments

TOSTracker – The AI Training Asymmetry

https://tostracker.app/analysis/ai-training
1•tldrthelaw•29m ago•0 comments

The Devil Inside GitHub

https://blog.melashri.net/micro/github-devil/
2•elashri•29m ago•0 comments

Show HN: Distill – Migrate LLM agents from expensive to cheap models

https://github.com/ricardomoratomateos/distill
1•ricardomorato•29m ago•0 comments

Show HN: Sigma Runtime – Maintaining 100% Fact Integrity over 120 LLM Cycles

https://github.com/sigmastratum/documentation/tree/main/sigma-runtime/SR-053
1•teugent•30m ago•0 comments

Make a local open-source AI chatbot with access to Fedora documentation

https://fedoramagazine.org/how-to-make-a-local-open-source-ai-chatbot-who-has-access-to-fedora-do...
1•jadedtuna•31m ago•0 comments

Introduce the Vouch/Denouncement Contribution Model by Mitchellh

https://github.com/ghostty-org/ghostty/pull/10559
1•samtrack2019•31m ago•0 comments

Software Factories and the Agentic Moment

https://factory.strongdm.ai/
1•mellosouls•32m ago•1 comments

The Neuroscience Behind Nutrition for Developers and Founders

https://comuniq.xyz/post?t=797
1•01-_-•32m ago•0 comments