Double torus knots and links | 3-manifolds

Figure-eight knot (mathematics)

In knot theory, a figure-eight knot (also called Listing's knot) is the unique knot with a crossing number of four. This makes it the knot with the third-smallest possible crossing number, after the unknot and thetrefoil knot. The figure-eight knot is a prime knot. (Wikipedia).

Figure-eight knot (mathematics)
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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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Figure 8 knot complement

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/9Wje This is joint work with François Guéritaud and Saul Schleimer.

From playlist 3D printing

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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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Pick's theorem: The wrong, amazing proof

A video on what proofs in mathematics are for, using Pick's theorem as an example. PBS Infinite Series's video: https://youtu.be/bYW1zOMCQno

From playlist Summer of Math Exposition Youtube Videos

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Awesome Number Pattern 5

A fun number pattern based on the number 142857

From playlist Number Patterns

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Solving and graphing inequalities on a number line

Solve and graph simple algebraic equations on a number line.

From playlist Algebra: Linear Inequalities

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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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What is a Knot? - Numberphile

First in a series of videos about knots. Here we have Carlo H. Séquin from UC Berkeley. More links & stuff in full description below ↓↓↓ More videos to come at: http://bit.ly/Knot-a-Phile Edit and animation by Pete McPartlan. Film and interview by Brady Haran With thanks to Rob Scharein

From playlist Carlo Séquin on Numberphile

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Colouring Knots - Numberphile

Featuring Professor Sylvain Cappell from NYU. Extra footage at: https://youtu.be/NV3EeagyU0Y More links & stuff in full description below ↓↓↓ Merch based on this video: https://teespring.com/numberphile-knots And here: https://teespring.com/numberphile-figure-eight Numberphile is support

From playlist Knots on Numberphile

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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

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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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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

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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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Jessica Purcell: Triangulations, geometry and knots

In this research profile, upcoming SMRI visitor Jessica Purcell describes the open questions in the study of 3-manifolds and how her fascination with mathematical knots began. Jessica Purcell is a Professor in the School of Mathematical Sciences and Associate Dean of Research (Faculty of

From playlist SMRI Interviews

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How to Plot Numbers on a Number Line

How to Plot Numbers on a Number Line

From playlist Intermediate Algebra

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Parallel session 10 by Darren Long

Geometry Topology and Dynamics in Negative Curvature URL: https://www.icts.res.in/program/gtdnc DATES: Monday 02 Aug, 2010 - Saturday 07 Aug, 2010 VENUE : Raman Research Institute, Bangalore DESCRIPTION: This is An ICM Satellite Conference. The conference intends to bring together ma

From playlist Geometry Topology and Dynamics in Negative Curvature

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Figure 8 knot trumpet

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/dp5w. This is joint work with François Guéritaud and Saul Schleimer.

From playlist 3D printing

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Jessica Purcell: Structure of hyperbolic manifolds - Lecture 1

Abstract: In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions

From playlist Topology

Related pages

Gieseking manifold | Jones polynomial | Hyperbolic knot | 3-manifold | Alexander polynomial | Fibered knot | Ideal point | Crossing number (knot theory) | Geometrization conjecture | Manifold decomposition | Hyperbolic geometry | Alternating knot | Computer-assisted proof | (−2,3,7) pretzel knot | Prime knot | Chiral knot | William Thurston | Covering space | Seifert fiber space | Haken manifold | Seifert surface | Knot complement | Milnor map | Dehn surgery | Knot theory