Double torus knots and links

62 knot

In knot theory, the 62 knot is one of three prime knots with crossing number six, the others being the stevedore knot and the 63 knot. This knot is sometimes referred to as the Miller Institute knot, because it appears in the logo of the Miller Institute for Basic Research in Science at the University of California, Berkeley. The 62 knot is invertible but not amphichiral. Its Alexander polynomial is its Conway polynomial is and its Jones polynomial is The 62 knot is a hyperbolic knot, with its complement having a volume of approximately 4.40083. (Wikipedia).

62 knot
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The Best Guide to Rope Skills

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

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Cut The Knot Action 12!

Link: https://www.geogebra.org/m/a72HSgzU

From playlist Geometry: Challenge Problems

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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

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Triangle-6

Triangle-6 is a 6-bar linkage toy. It is a one degree-of-freedom spatial mechanism. You can enjoy the cool magical behavior. Buy at http://www.shapeways.com/shops/GeometricToy Copyright (c) 2014,AkiraNishihara

From playlist 3D printed toys

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Cut The Knot Action 18!

Link: https://www.geogebra.org/m/bd69d6u4

From playlist Geometry: Challenge Problems

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Symmetric figure 8 knot

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/kZfU This is joint work with François Guéritaud and Saul Schleimer.

From playlist 3D printing

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How to Tie a Taut Line Knot

This knot is very useful for adjusting tie downs quickly and easily. For example, a tarp could be held down by a series of these knots and be made very tight so the wind cannot make it rise, and easily be removed simply by sliding the knots later. A taut line knot is also used to keep larg

From playlist Practical Projects & Skills

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Cut-The-Knot Action 10!

Link: https://www.geogebra.org/m/cjS3b6Zr

From playlist Geometry: Challenge Problems

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Master Solving Trigonometric word problems with bearings

Subscribe! http://www.freemathvideos.com Want more math video lessons? Visit my website to view all of my math videos organized by course, chapter and section. The purpose of posting my free video tutorials is to not only help students learn math but allow teachers the resources to flip th

From playlist Trigonometric Functions #Master

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Cut-The-Knot Action 19!

Link: https://www.geogebra.org/m/ZGj7Vqtx

From playlist Geometry: Challenge Problems

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The Convoy and the U-Boat: SS J. L. Luckenbach, HMS Orama and SM U-62

In October 1917, a British armed cruiser, an armed merchant vessel, and U.S. destroyers do battle with a U-Boat of the Imperial German Navy. The History Guy remembers the Dakar Convoy of World War I. This is original content based on research by The History Guy. Images in the Public Doma

From playlist US History

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Chern Medal Award 2022 Barry Mazur

Barry Mazur is awarded the 2022 Chern Medal for his profound discoveries in topology, arithmetic geometry and number theory, and his leadership and generosity in forming the next generation of Mathematicians.

From playlist IMU Awards

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A refined upper bound for the volume...Jones polynomial - Anastasiia Tsvietkova

Anastasiia Tsvietkova, UC Davis October 8, 2015 http://www.math.ias.edu/wgso3m/agenda 2015-2016 Monday, October 5, 2015 - 08:00 to Friday, October 9, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016

From playlist Workshop on Geometric Structures on 3-Manifolds

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Matthew Hedden - Irreducible homology S1xS2's which aren't zero surgeries on a knot

June 20, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry I'll discuss constructions of manifolds with the homology of S^1xS^2 which don't arise as Dehn surgery on a knot in S^3. Our examples have weight one

From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I

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Entanglement of embedded graphs - Toen Castle

Toen Castle University of Pennsylvania April 18, 2015 Even simple graphs can be embedded in space (𝔼3E3 or 𝕊3S3) in a topologically complex way. If there is a cycle in the graph then there can be knots in the embedding, if there are disjoint cycles then there can be links. However there a

From playlist Mathematics

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Equations and Inequalities Foundation Tier Yr 10 Mathematics |White Rose Maths |KS3 Maths |KS4 Maths

Dear all I am making maths videos and also a maths tutor for all levels. Offer online+ Face to Face. Check out my website for more information www.abdallahmathstutoring.co.uk Also i sell products on etsy.com/AWMathsStationary for calculators and books. Books are all 50 pence for all lev

From playlist GCSE 9-1 Foundation Tier 2022/23

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Discrete Structures: Karnaugh Maps with 4 variables

Learn about using Karnaugh maps to simplify Boolean expressions. This time we will solve problems with 4 variables, plus show how K-maps can be used in practical applications.

From playlist Discrete Structures, Spring 2022

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What Does It Take To Be An Astronaut?

What does it take to have the "Right Stuff" to become an Astronaut? Support us at: http://www.patreon.com/universetoday More stories at: http://www.universetoday.com/ Follow us on Twitter: @universetoday Follow us on Tumblr: http://universetoday.tumblr.com/ Like us on Facebook: https://w

From playlist Space Exploration

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Rebuilding The Skandi Inspector [4K] | The Harbour | Spark

A violent storm sweeps Aberdeen Harbor. As heavy seas batter the port, it seems the ferry may be defeated as she makes her approach, and the duty pilots have to decide if they should risk the elements to get things moving again. It's not much better out at sea, as fishing vessels deal with

From playlist The Harbour

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MegaFavNumbers - 1701936 knots

My contribution to the #MegaFavNumbers project. A brief introduction to mathematical knot theory, and a 19th-century Theory of Everything that didn't quite work out. References: J Hoste, M Thistlethwaite, J Weeks, "The First 1701936 Knots", Mathematical Intelligencer 20.4 (1998) 33-48

From playlist MegaFavNumbers

Related pages

Crossing number (knot theory) | Jones polynomial | Stevedore knot (mathematics) | Prime knot | Amphichiral knot | Hyperbolic knot | Invertible knot | 63 knot | Knot complement | Alexander polynomial | Knot theory