Knot theory

Knot thickness

In knot theory, each link and knot can have an assigned knot thickness. Each realization of a link or knot has a thickness assigned to it. The thickness τ of a link allows us to introduce a scale with respect to which we can then define the ropelength of a link. (Wikipedia).

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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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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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Rope Around the Earth Puzzle #shorts

You wrap a rope around the earth, then extend the rope by 1 metre. This puzzle requires no calculator, no cosmological knowledge. Just basic geometry, and some intuition.

From playlist Famous Math Problems

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Calculus 1: Max-Min Problems (28 of 30) Find Shortest Rope

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the shortest rope that can be anchored on the ground between 2 posts (6ft and 8ft) 10ft apart. Next video in this series can be seen at: https://youtu.be/wNxq5JI2VlU

From playlist CALCULUS 1 CH 8 MAX MIN PROBLEMS

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Scientists tie tightest knot ever

New molecular knots like this one could mean stronger, more flexible polymers. Learn more: http://scim.ag/2jvPqz5

From playlist Materials and technology

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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

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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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Quadratic Formula Application - Determine the Width of a Border

This video explains how to determine the width of a border of a quilt with a known area using the quadratic formula. http://mathispower4u.com

From playlist Applications of Quadratic Equations

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Rima Chatterjee: Structure Theorems of Legendrian Knots in Contact Manifolds

Rima Chatterjee, University of Cologne Title: Structure Theorems of Legendrian Knots in Contact Manifolds Structure theorems of a Legendrian knot have been an interesting study in contact geometry. One can ask when topological operations on a knot gives us important information about the g

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

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Cabling of knots in overtwisted contact manifolds - Rima Chatterjee

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Title: Cabling of knots in overtwisted contact manifolds Speaker: Rima Chatterjee Affiliation: Cologne Date: October 8, 2021 Abstract: Knots associated to overtwisted manifolds are less explored. There are two types of kno

From playlist Mathematics

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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

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How To Make A Bottle Guitar (3 Parts and NO Tools)

In this video I show how to make a guitar using recycled materials and an incredibly simple design. We only need three parts, and 2-3 knots. Thanks to Bespoke Post for sponsoring this video! New subscribers can get 20% off their first box with code NIGHTHAWK here: https://bspk.me/nighthawk

From playlist Acoustics & Sound

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Bridges 2012 talk: "Sculptures in S^3"

This is a talk I gave at the Bridges conference on mathematics and the arts (http://bridgesmathart.org/), on 26th July 2012, about my work with Saul Schleimer making 3D printed sculptures from objects in the 3-dimensional sphere, S^3. The slides are a little difficult to see on the video,

From playlist 3D printing

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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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Hyperbolic Knot Theory (Lecture - 2) by Abhijit Champanerkar

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)

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Adam Savage's Live Builds: KiwiCo Tilt-And-Fold Desk Kit!

For 50% off your first month of any subscription crate from KiwiCo (available in 40 countries!) go to https://kiwico.com/tested In this stream sponsored by KiwiCo (http://KiwiCo.com/tested), Adam will build one of their tilt and fold desk kit! Come hang out with Adam and talk to Tested s

From playlist Inside Adam's Cave

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EEVblog #732 - PCB Sheet Resistance

Fundamentals Friday What is Sheet Resistance? Did you know that the resistance of a square copper PCB trace is the same regardless of the size? Dave explains the theory behind this rather counter-intuitive concept called Sheet Resistance, and demonstrates that it is in fact true. What is

From playlist Fundamentals Friday

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Kristof Huszar: On the Pathwidth of Hyperbolic 3-Manifolds

Kristof Huszar, Inria Sophia Antipolis - Mediterranee, France Title: On the Pathwidth of Hyperbolic 3-Manifolds Abstract: In recent years there has been an emergence of fixed-parameter tractable (FPT) algorithms that efficiently solve hard problems for triangulated 3-manifolds as soon as t

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

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Legendrian Torus and Cable Links - Lisa Traynor

Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Legendrian Torus and Cable Links Speaker: Lisa Traynor Affiliation: Bryn Mawr College Date: November 22, 2021 Legendrian torus knots were classified by Etnyre and Honda. I will explain the classification of Legendrian toru

From playlist Mathematics

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diameter perpendicular to a chord

In this video I answer a circle geometry question involving a diameter perpendicular to a chord. The question I cover also includes concepts such as Pythagorean Theorem, diameter, radius of a circle, line segment addition.

From playlist Geometry

Related pages

Knot (mathematics) | Ropelength | Link (knot theory) | Knot theory