In mathematical knot theory, a Conway sphere, named after John Horton Conway, is a 2-sphere intersecting a given knot or link in a 3-manifold transversely in four points. In a knot diagram, a Conway sphere can be represented by a simple closed curve crossing four points of the knot, the cross-section of the sphere; such a curve does not always exist for an arbitrary knot diagram of a knot with a Conway sphere, but it is always possible to choose a diagram for the knot in which the sphere can be depicted in this way.A Conway sphere is essential if it is incompressible in the knot complement. Sometimes, this condition is included in the definition of Conway spheres. (Wikipedia).
Conway's Game of Life on a Torus
Conway's Life rule is often run on a flat grid with wrap-around. Here we do the same thing but with the sides joined together to make an actual 3D torus. Generated with open source software: http://code.google.com/p/reaction-diffusion/
From playlist Ready
Generalized Conway Game of Life - SmoothLife4
Oscillatory structures are also possible.
From playlist SmoothLife
A solar system, a simulation made with Excel
An Excel simulation of the solar system. You can see how things are recursively computed: the mutual gravity force from the locations, the accelerations, the velocities, and finally the updated locations. The solar eclipse is also shown. This is clip is intended to illustrate Chapter 24 Ap
From playlist Physics simulations
Astronomy - Ch. 2: Understanding the Night Sky (5 of 23) Understanding the Celestial Sphere
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is the celestial sphere (a sort of GPS of the universe).
From playlist ASTRONOMY 2 THE NIGHT SKY
Studying Other Worlds with the Help of a Starshade
This animation shows the prototype starshade, a giant structure designed to block the glare of stars so that future space telescopes can take pictures of planets. More info here: http://planetquest.jpl.nasa.gov/video/15
From playlist Astrophysics
Is the Conway knot slice? (After Lisa Piccirillo)
This is a talk on the recent work by Lisa Piccirillo showing that the Conway know is not a slice knot. We first review the definitions of the Conway know and slice knots, and then give an overview of her proof. The paper on this by Lisa Piccirillo can be found at https://arxiv.org/pdf/1
From playlist Math talks
Allison Moore - Essential Conway spheres and Floer homology via immersed curves
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Allison Moore, Virginia Commonwealth University Title: Essential Conway spheres and Floer homology via immersed curves Abstract: We consider the problem of whether Dehn surgery along a knot in the three-sphere produces an
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
This is an informal talk on sporadic groups given to the Archimedeans (the Cambridge undergraduate mathematical society). It discusses the classification of finite simple groups and some of the sporadic groups, and finishes by briefly describing monstrous moonshine. For other Archimedeans
From playlist Math talks
How to construct the Leech lattice
This lecture describes an astonishingly simple construction of the Leech lattice in 24 dimensions, found by John Conway and Neal Sloane. This is an experimental joint video with @Lyam Boylan (https://www.tiktok.com/@yamsox/video/7057530890381053189) who added the animation, the thumbnai
From playlist Math talks
AlgTop19: An algebraic ZIP proof
We give a description of a variant to the proof of the Classification theorem for two dimensional combinatorial surfaces, due to John Conway and called the ZIP proof. Our approach to this is somewhat algebraic. We think about spheres with holes that are then zipped together rather than pol
From playlist Algebraic Topology: a beginner's course - N J Wildberger
Teach Astronomy - Celestial Sphere
http://www.teachastronomy.com/ The celestial sphere is an imaginary sphere surrounding the Earth onto which are projected the objects of the night sky. There are several fixed points on the celestial sphere that are important. The Zenith is the point directly over your head. The Nadir i
From playlist 02. Ancient Astronomy and Celestial Phenomena
History of science 7: Did Witt discover the Leech lattice?
In about 1970 the German mathematician Witt claimed to have discovered the Leech lattice many years before Leech. This video explains what the Leech lattice is and examines the evidence for Witt's claim. Lieven Lebruyn discussed this question on his blog: http://www.neverendingbooks.org/w
From playlist History of science
This is an experimental video where I give answers to the (mostly) mathematical questions asked by viewers.
From playlist Math talks
Taut co-oriented foliations - Rachel Roberts
Rachel Roberts, WUSTL 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 academic
From playlist Workshop on Flows, Foliations and Contact Structures
A Tour of Skein Modules by Rhea Palak Bakshi
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)
Link: https://www.geogebra.org/m/D4hmNy9M
From playlist 3D: Dynamic Interactives!
Drew Conway interviewed at Strata Summit 2011
Drew Conway PhD Student, New York University Drew Conway is a PhD student in political science at New York University. Drew studies terrorism and armed conflict; using tools from mathematics and computer science to gain a deeper understanding of these phenomena.
From playlist Strata NY 2011