Knots (knot theory)

Lissajous-toric knot

In knot theory, a Lissajous-toric knot is a knot defined by parametric equations of the form , where , , and are integers, the phase shift is a real numberand the parameter varies between 0 and . For the knot is a torus knot. (Wikipedia).

Lissajous-toric knot
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Exploration of Lissajous Curves

Lissajous Curves through intuitive examples and some unexpected link. #SoME #Lissajous #mathematics #maths #math #firstvideo #curves #visuals #animation #numbertheory #fraction #rationalnumbers Video/Animation/Music : Benoit Arliaud Music : https://soundcloud.com/user-938398110/ambiance

From playlist Summer of Math Exposition Youtube Videos

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Coding Challenge #116: Lissajous Curve Table

In this Coding Challenge, I visualize a "Lissajous Curve Table" with Processing (Java). 💻Code: http://thecodingtrain.com/CodingChallenges/116-lissajous.html Links discussed in this video: 🔗Lissajous Curve: https://en.wikipedia.org/wiki/Lissajous_curve 🔗Panlepan Twitter: https://twitter.c

From playlist Coding Challenges

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Lissajous figures demonstrated and explained, and why they are used.

Lissajous figures are examples of complex harmonic motion, and can be easily demonstrated on an oscilloscope. I examine the history, the mathematics behind them, demonstrate how to generate them on an oscilloscope and discuss how they can be used. Play with Desmos and Lissajous figures he

From playlist Waves and Thermodynamics

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Arrowhead Sierpinski Triangle construction.

This is a recreation of a short clip from a long form video showing six different ways to construct the Sierpinski triangle: https://youtu.be/IZHiBJGcrqI In this short, we create the Sierpinski triangle using the arrowhead construction. Can you explain why this works? #math #manim #fract

From playlist Fractals

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AWESOME Laser + mirror + sound = Lissajou figures

Laser + mirror + sound = Lissajou figures

From playlist WAVES

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AWESOME Physics demonstrations. Lissajous figures from laser!

This laser light show device produces different geometric designs that change as adjustments are made to it.

From playlist WAVES

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Sierpinski from Pascal

This is a recreation of a short clip from a long form video showing six different ways to construct the Sierpinski triangle: https://youtu.be/IZHiBJGcrqI In this short, we shade odd entries of the Halayuda/Pascal triangle to obtain the Sierpinski triangle. Can you explain why this works?

From playlist Fractals

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Live Stream #152: Lissajous Curve Table

In this live stream, I attempt to visualize the Lissajous Curve Table in Processing and p5.js. Sorry for all the technical difficulties! 12:12 - Coding Challenge: Lissajous in Processing 1:02:48 - Lissajous Curve Table in p5.js 🔗 https://editor.p5js.org/codingtrain/sketches/BJbj5l3Y7 🎥

From playlist Live Stream Archive

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Ex 2: Find the Parametric Equations for a Lissajous Curve

This video explains how to determine possible parametric equations for a Lissajous figure. Site: http://mathispower4u.com

From playlist Parametric Equations

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Symplectic embeddings and infinite staircases - Ana Rita Pires

Princeton/IAS Symplectic Geometry Seminar Topic: Symplectic embeddings and infinite staircases Speaker: Ana Rita Pires Date: Friday, April 15 McDuff and Schlenk studied an embedding capacity function, which describes when a 4-dimensional ellipsoid can symplectically embed into a 4-ba

From playlist Mathematics

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Versality for the relative Fukaya category - Nick Sheridan

Speaker: Nick Sheridan Title: Versality for the relative Fukaya category Affiliation: IAS Date: November 9, 2016 For more video, visit http://video.ias.edu

From playlist Mathematics

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Patrick Popescu Pampu: A proof of Neumann-Wahl Milnor fibre Conjecture via logarithmic...- Lecture 3

HYBRID EVENT Recorded during the meeting "Milnor Fibrations, Degenerations and Deformations from Modern Perspectives" the September 09, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given

From playlist Algebraic and Complex Geometry

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Symplectically knotted cubes - Felix Schlenk

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Symplectically knotted cubes Speaker: Felix Schlenk Affiliation: Université de Neuchâtel Date: July 02, 2021 While by a result of McDuff the space of symplectic embeddings of a closed 4-ball into an open 4-ball is con

From playlist Mathematics

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Infinite staircases and reflexive polygons - Ana Rita Pires

IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Infinite staircases and reflexive polygons Speakers: Ana Rita Pires Affiliation: University of Edinburgh Date: July 3, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Three Knot-Theoretic Perspectives on Algebra - Zsuzsanna Dancso

Zsuzsanna Dancso University of Toronto; Institute for Advanced Study September 21, 2011 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Mirror symmetry & Looijenga's conjecture - Philip Engel

Philip Engel Columbia University October 29, 2014 A cusp singularity is an isolated surface singularity whose minimal resolution is a cycle of smooth rational curves meeting transversely. Cusp singularities come in naturally dual pairs. In the 1980's Looijenga conjectured that a cusp sing

From playlist Mathematics

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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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AWESOME Physics demonstrations. Oscilloscope and Lissajous figures.

Everything about osciloscope, how to use osciloscope and Lissajous fiqures.

From playlist WAVES

Related pages

Knot (mathematics) | Minimal surface | Lissajous knot | Braid group | Ribbon knot | Three-body problem | Triangle wave | Integer | Real number | Lissajous curve | Torus knot | Knot theory