In the mathematical field of knot theory, a 2-bridge knot is a knot which can be regular isotoped so that the natural height function given by the z-coordinate has only two maxima and two minima as critical points. Equivalently, these are the knots with bridge number 2, the smallest possible bridge number for a nontrivial knot. Other names for 2-bridge knots are rational knots, 4-plats, and Viergeflechte (German for 'four braids'). 2-bridge links are defined similarly as above, but each component will have one min and max. 2-bridge knots were classified by Horst Schubert, using the fact that the 2-sheeted branched cover of the 3-sphere over the knot is a lens space. (Wikipedia).

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

Geometry - Constructions (8.5 of 15) How to Draw 2 Lines that are Parallel

Visit http://ilectureonline.com for more math and science lectures! THIS VIDEO IS A REPOST OF AN ERROR VIDEO: https://youtu.be/bDPuVvpJETc In this video I will demonstrate how to draw 2 lines that are exactly parallel. Next video in the Constructions series can be seen at: http://youtu.

From playlist GEOMETRY 2 - CONSTRUCTIONS

Geometry - Constructions (2 of 15) How to Draw Angles of the Same Measure

Visit http://ilectureonline.com for more math and science lectures! In this video I will demonstrate how to draw exact angles of the same measure. Next video in the Constructions series can be seen at: http://youtu.be/2yBv2rIUeNg

From playlist GEOMETRY 2 - CONSTRUCTIONS

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

From playlist Geometry: Challenge Problems

Geometry - Constructions (1 of 15) How to Draw Line Segments of the Same Length

Visit http://ilectureonline.com for more math and science lectures! In this video I will demonstrate how to draw line segments of the same length. Next video in the Constructions series can be seen at: http://youtu.be/hglhedZs41Y

From playlist GEOMETRY 2 - CONSTRUCTIONS

Calculus 3: Ch 2.2 Planes in 3-D Equation (13 of 22) How to Find the Line of Intersection - Planes

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will find the line of intersection of 2 planes given the general equation of the 2 planes. Next video in this series can be seen

From playlist CALCULUS 3 CH 2.2 PLANES IN 3-D

Truss Bridge Project - simple, fundamental engineering project for kids

Be sure to check out www.stem-inventions.com Hanging scale: https://amzn.to/2Q3cYNO

From playlist Bridge Building

Algebraic topology: Fundamental group of a knot

This lecture is part of an online course on algebraic topology. We calculate the fundamental group of (the complement of) a knot, and give a couple of examples. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52yxQGxQoxwOtjIEtxE2BWx

From playlist Algebraic topology

Knots, three-manifolds and instantons – Peter Kronheimer & Tomasz Mrowka – ICM2018

Plenary Lecture 11 Knots, three-manifolds and instantons Peter Kronheimer & Tomasz Mrowka Abstract: Over the past four decades, input from geometry and analysis has been central to progress in the field of low-dimensional topology. This talk will focus on one aspect of these developments

From playlist Plenary Lectures

Taut foliations and cyclic branched covers - Cameron Gordon

Cameron Gordon, Univ Texas Workshop on Flows, Foliations and Contact Structures 2015-2016 Monday, December 7, 2015 - 08:00 to Friday, December 11, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 aca

From playlist Workshop on Flows, Foliations and Contact Structures

Symplectic Instanton Homology of Knots and Links in 3-manifolds - David White

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Symplectic Instanton Homology of Knots and Links in 3-manifolds Speaker: David White Affiliation: North Carolina State University Date: February 10, 2023 Powerful homology invariants of knots in 3-manifolds

From playlist Mathematics

Link: https://www.geogebra.org/m/xzdy9uRQ

From playlist Geometry: Challenge Problems

[Rust Programming] Advent of Code 2022 Day 9 - Rope Bridge

My Rust solution for Day 9 of Advent of Code 2022 I livestream these on twitch every weekday morning, starting between 7 and 7:30am Eastern/US time. I usually stream for about 1-2 hours, depending on how well my voice holds out. Come join me! https://www.twitch.tv/unclescientist 0:00 Par

From playlist Advent of Code 2022

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

From playlist Geometry: Challenge Problems

Colin Adams: Hyperbolic Volumes of Virtual Knots and their Compositions

Colin Adams, Williams College Title: Hyperbolic Volumes of Virtual Knots and their Compositions Hyperbolic Volumes of Virtual Knots and their Compositions\\ \noindent\textbf{Abstract:} Many knots are known to be hyperbolic and therefore have a hyperbolic volume. But composite knots are n

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

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

Kai Smith: Character Varieties of Tangles and Singular Instanton Homology

Kai Smith, Indiana University Title: Character Varieties of Tangles and Singular Instanton Homology Singular Instanton Homology ($I^\natural$) is a knot homology theory defined by Kronheimer and Mrowka which has been instrumental in proving fundamental facts about Khovanov homology. Unfort

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

Barbara Nimershiem: Geometric Triangulations of a Family of Hyperbolic 3-Braids

Barbara Nimershiem, Franklin & Marshall College Title: Geometric Triangulations of a Family of Hyperbolic 3-Braids We construct topological triangulations for complements of $(-2, 3, n)$-pretzel knots and links with $n \geq 7$. Following a procedure outlined by Futer and Gueritaud, we use

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

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