#QuantumErrorCorrection #QEC #LCL832 #TopologicalQuantum #KnotTheory #Liouvillian #QuantumComputing #StabilizerCodes #Vedanta #TatTvamAsi #QuantumPhysics #SurfaceCode #MathematicalPhysics #ElNoxRah #QuantumResearch #OpenScience #IndependentResearch #QuantumMath #Topology #Zenodo

Just dropped lcl833-master v0.3.0! 🧶💎

Major upgrade for #KnotTheory & #Topology researchers!

The definitive CLI & API for Jones polynomials is here.
`pip install lcl833-master`

#Python #Math #LCL833 #SATICODEX #OpenScience

Just released `lcl833-master` v0.1.1 on PyPI! 🧶✨

Compute exact Jones polynomials from braid words & get calibrated LCL-833 metrics (δ_eff, α_op, T_min) directly in your terminal.

`pip install lcl833-master`

#Python #KnotTheory #Topology #LCL833 #SATICODEX

A computer-generated image of 6 interlocking randomly-generated rings in 6 different colours, each with 6 random squiggles, on a black background.

An intricate computer-generated image of 20 interlocking randomly-generated rings in 6 different colours, each with 20 random squiggles, on a black background.

Bézier Knots (2016)

#digitalart #generativeart #javascript #gewgaw #geometricart #knottheory #aleatoric

catseye.tc/installation...

The Unknotting Number, Hard Unknot Diagrams, and Reinforcement Learning We have developed a reinforcement learning agent that often finds a minimal sequence of unknotting crossing changes for a knot diagram with up to 200 crossings, hence giving an upper bound on the unknotting number. We have used this to determine the unknotting number of 57k knots. We took diagrams of connected sums of such knots with oppositely signed signatures, where the summands were overlaid. The agent has found examples where several of the crossing changes in an unknotting collection of crossings result in hyperbolic knots. Based on this, we have shown that, given knots K and K' that satisfy some mild assumptions, there is a diagram of their connected sum and u(K)+u(K') unknotting crossings such that changing any one of them results in a prime knot. As a by-product, we have obtained a dataset of 2.6 million distinct hard unknot diagrams; most of them under 35 crossings. Assuming the additivity of the unknotting number, we have determined the unknotting number of 43 at most 12-crossing knots for which the unknotting number is unknown.

"The Unknotting Number, Hard Unknot Diagrams, and Reinforcement Learning" by Taylor Applebaum, Sam Blackwell, Alex Davies, Thomas Edlich, András Juhász, Marc Lackenby, Nenad Tomašev, and Daniel Zheng. #ExperimentalMath #KnotTheory #AI #DeepMind #MathSky

Scientists create stable, switchable vortex knots inside liquid crystals The knots in your shoelaces are familiar, but can you imagine knots made from light, water, or from the structured fluids that make LCD screens shine?

🤯 Beyond laces! Imagine knots of *light*, water, & the fluids in screens…🤯 What seemingly simple structures could unlock?✨ #knottheory

Source: phys.org/news/2025-12-scientists-...

Mathematicians And Physicists: Accidentally Saving Lives With Knots

Mathematicians And Physicists: Accidentally Saving Lives With Knots

#Mathematics #Physics #Knottheory #Interdisciplinary #Proteinfolding

sciencehumor.io/math-memes/mathematician...

A nice discussion of a paper earlier this summer on a counterexample to the unknotting conjecture. Plus, Richeson takes up an "it's left to the reader" problem in a related paper.
#mathematics #math #topology #KnotTheory
Source:https://buff.ly/pTrH20Q

Discover how quantum events and knot theory intersect, revealing indefinite causal order through topological invariants. #QuantumPhysics #KnotTheory #CausalOrder LINK

What is Knot Theory? Solve These Puzzles to Find Out Learn the fundamentals of the burgeoning field of knot theory while solving some puzzles along the way

What is Knot Theory? Solve These Puzzles to Find Out #Science #Mathematics #KnotTheory #MathematicsPuzzles #Topology

Sophie Schmieg (@sophieschmieg@infosec.exchange) Attached: 1 image I know my wifely duties.

Knots Naughty not knotty.

#knotTheory

infosec.exchange/@sophieschmieg/115266667...

#knottheory #tarotofthings #tarotcard #tarot

New Knot Theory Discovery Overturns Long-Held Mathematical Assumption Mathematicians have unraveled a key conjecture about knot theory

New Knot Theory Discovery Overturns Long-Held Mathematical Assumption #Science #Mathematics #KnotTheory #Discovery

Episode 3 has just dropped of #Un-NatrualNumbers, with excellent contributions from @hopeiona.bsky.social and @christianp.mathstodon.xyz.ap.brid.gy

If you are looking for a #MathsChatShow then check this out:

youtu.be/hZ9l5fF2x4w

#mathstalk
#mathsky
#KnotTheory
#SetTheory
#PalendromicNumbers

🧵👇 A resilient counting & memory system that folds instead of fails — uses robust knots, not bits or symbols and no it does not need infinite material.
#informationtheory #knottheory #memorysystems #cs #math #hope

An Algorithm to Find Ribbon Disks for Alternating Knots We describe an algorithm to find ribbon disks for alternating knots, and the results of a computer implementation of this algorithm. The algorithm is underlain by a slice link obstruction coming from Donaldson’s diagonalization theorem. It successfully finds ribbon disks for slice two-bridge knots and for the connected sum of any alternating knot with its reverse mirror, as well as for 662,903 prime alternating knots of 21 or fewer crossings. We also identify some examples of ribbon alternating knots for which the algorithm fails to find ribbon disks, though a related search identifies all such examples known. Combining these searches with known obstructions, we resolve the sliceness of all but 3276 of the over 1.2 billion prime alternating knots with 21 or fewer crossings.

"An Algorithm to Find Ribbon Disks for Alternating Knots" by Brendan Owens and Frank Swenton. #ExperimentalMath #KnotTheory #MathSky

#mathematics #math #topology #KnotTheory #AppliedMath
Source:https://buff.ly/4jFqDHC

Four metal pendants surrounding a quarter for scale.

A closer view of the pendants.

Some prints arrived today that I am excited to show off: Four knots and four finishes!

Trefoil Knot in Brass
Quatrefoil Knot in 14k Gold Plated Brass
Cinquefoil Knot in Rose Gold Plated Brass
Septoil Knot in Silver

Buy at hanusadesign.com

#mathjewelry #MathSky #knottheory #geekchic #nycfashion

‘Tube map’ around planets and moons made possible by knot theory Just as sat-nav did away with the need to argue over the best route home, scientists from the University of Surrey have developed a new method to find the optimal routes for future space missions with...

“Tube map” for #space: Unlocking planetary #paths with Knot theory for fuel-saving #spaceflights

Scientists have developed a new method using #knottheory to find the optimal routes for future space missions without the need to waste #fuel.

scienmag.com/tube-map-aro...