Prime knots and links | Knot theory
In knot theory, prime knots are those knots that are indecomposable under the operation of knot sum. The prime knots with ten or fewer crossings are listed here for quick comparison of their properties and varied naming schemes. (Wikipedia).
1,701,936 unique knots (and counting) #megafavnumbers
#megafavnumbers Talking about my favorite number over 1,000,000. We currently know about the first 1,701,936 different kinds of knots. There are a lot of math youtubers making high-quality, well-edited videos about their favorite big number. This...might not be one off them. The two times
From playlist MegaFavNumbers
This step by step guide demonstrates tying 15 types: 00:36 Overhand 01:22 Square 02:36 Figure Eight 03:40 Bowline, 05:29 Running 06:19 Half, 07:45 Timber, 09:42 Rolling, 10:43 Clove Hitches 11:30 Cat's Paw 12:58 Single, 14:40 Double Sheet or Becket Bends 15:30 Fisherman's, 17:09 Doubl
From playlist How To Tutorials
Unofoil with cogs: http://shpws.me/wk7u Trefoil with cogs: http://shpws.me/wk7H Cinquefoil with cogs: http://shpws.me/wk7t
From playlist 3D printing
Minimal ropelength prime knots
Jason Cantarella's minimal ropelength prime knots: http://www.thingiverse.com/DesignByNumbers/designs/page:1?sort=&filter=&search=prime+knot Ball joint chain: http://shpws.me/EJzQ
From playlist 3D printing
another "orthogonal bars" / "trefoil knot" / "present box" / "gift ribbon" pattern.
From playlist Misc
Link: https://www.geogebra.org/m/a72HSgzU
From playlist Geometry: Challenge Problems
Chapter 6 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.
From playlist Dimensions
Link: https://www.geogebra.org/m/jUevutzZ
From playlist Geometry: Challenge Problems
How Knots Help Us Understand the World
Knots are everywhere in our daily lives, but a new branch of mathematics is taking things to the next level. Hosted by: Hank Green SciShow has a spinoff podcast! It's called SciShow Tangents. Check it out at http://www.scishowtangents.org ---------- Support SciShow by becoming a patron o
From playlist Uploads
Knotty Problems - Marc Lackenby
Knots are a familiar part of everyday life, for example tying your tie or doing up your shoe laces. They play a role in numerous physical and biological phenomena, such as the untangling of DNA when it replicates. However, knot theory is also a well-developed branch of pure mathematics.
From playlist Oxford Mathematics Public Lectures
Link: https://www.geogebra.org/m/ZY87MGd5
From playlist Geometry: Challenge Problems
Satellite operations and Legendrian knot theory - John Etnyre
Satellite operations and Legendrian knot theory Augmentations and Legendrians at the IAS Topic: Satellite operations and Legendrian knot theory Speaker: John Etnyre Date: Thursday, February 11 Satellite operations are a common way to create interesting knot types in the smooth category. I
From playlist Mathematics
Polynomial Invariants of Virtual Knots by Andrei Vesnin
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl
From playlist Knots Through Web (Online)
Lisa Piccirillo - Shake genus and slice genus
June 21, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry An important difference between high dimensional smooth manifolds and smooth 4-manifolds is that in a 4-manifold it is not always possible to represent
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I
Untangling the beautiful math of KNOTS
Visit ► https://brilliant.org/TreforBazett/ to help you learn STEM topics for free, and the first 200 people will get 20% off an annual premium subscription. Check out my MATH MERCH line in collaboration with Beautiful Equations ►https://www.beautifulequation.com/pages/trefor Suppose yo
From playlist Cool Math Series
András Stipsicz - Upsilon invariants of knots
June 22, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I
Sergey Melikhov - Not all links are isotopic to PL links
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Sergey Melikhov, Steklov Math Institute (Moscow) Title: Not all links are isotopic to PL links Abstract: Two links in the 3-sphere are called (non-ambiently) isotopic if they are homotopic through embeddings. D. Rolfsen (
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
On the Lagrangian cobordism relation on Legendrian links -Joshua Sabloff
Seminar in Analysis and Geometry Topic: On the Lagrangian cobordism relation on Legendrian links Speaker: Joshua Sabloff Affiliation: Member, School of Mathematics Date: February 22, 2022 Lagrangian cobordism induces a preorder on the set of Legendrian links in any contact 3-manifold. We
From playlist Mathematics
Jessica Purcell - Lecture 1 - Hyperbolic knots and alternating knots
Jessica Purcell, Monash University Title: Hyperbolic knots and alternating knots Hyperbolic geometry has been used since around the mid-1970s to study knot theory, but it can be difficult to relate geometry of knots to a diagram of a knot. However, many results from the 1980s and beyond s
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
They are knot what you think! More links & stuff in full description below ↓↓↓ Primes, Composites and the usefulness of knots.... Second in a series of videos about knots. Here we again speak with Carlo H. Séquin from UC Berkeley. More videos to come at: http://bit.ly/Knot-a-Phile Edit an
From playlist Carlo Séquin on Numberphile