3-manifolds

Solid torus

In mathematics, a solid torus is the topological space formed by sweeping a disk around a circle. It is homeomorphic to the Cartesian product of the disk and the circle, endowed with the product topology. A standard way to visualize a solid torus is as a toroid, embedded in 3-space. However, it should be distinguished from a torus, which has the same visual appearance: the torus is the two-dimensional space on the boundary of a toroid, while the solid torus includes also the compact interior space enclosed by the torus. (Wikipedia).

Solid torus
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Torus Magic

Buy at http://www.shapeways.com/shops/GeometricToy Torus Magic is a transformable torus. This torus object is constructed with many rings,and transforms flat,spherical etc. Also you can turn inside out the torus. Copyright (c) 2014,AkiraNishihara

From playlist 3D printed toys

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Torus Magic 2

The torus magic is constructed with many rings. It transforms flat,spherical,etc. Farther more you can turn it inside out.

From playlist Handmade geometric toys

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Torus Magic (50mm)

Buy at http://www.shapeways.com/shops/GeometricToy Torus Magic is a transformable torus. This torus object is constructed with 20 large rings(50mm diameter) and many small rings.It transforms flat,spherical etc. Also you can turn inside out the torus. Copyright (c) 2015,AkiraNishihara

From playlist 3D printed toys

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Hinged flat torus

Hinged flat torus: http://shpws.me/I9py Polygonal torus: http://shpws.me/HJYZ Hinged flat square surface: http://shpws.me/HJYA Also see http://www.mathcurve.com/polyedres/toreplat/toreplat.shtml

From playlist 3D printing

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Torus Magic with Ring 1

Buy at http://www.shapeways.com/shops/GeometricToy "Torus Magic" can eat another torus.This torus object is constructed with 30 large rings(70mm diameter) and many small rings. Copyright (c) 2015,AkiraNishihara

From playlist 3D printed toys

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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

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Torus Magic with Ring 2

Buy at http://www.shapeways.com/shops/GeometricToy "Torus Magic" can eat another torus.This torus object is constructed with 30 large rings(70mm diameter) and many small rings. Copyright (c) 2015,AkiraNishihara

From playlist 3D printed toys

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Turn a Torus Inside Out

Buy at http://www.shapeways.com/shops/GeometricToy This object consists of two "Torus Magic".These torus objects are constructed with 30 large rings(70mm diameter) and many small rings. Copyright (c) 2015,Akira Nishihara

From playlist 3D printed toys

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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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The Poincaré Conjecture (special lecture) John W. Morgan [ICM 2006]

slides for this talk: https://www.mathunion.org/fileadmin/IMU/Videos/ICM2006/tars/morgan2006.pdf The Poincaré Conjecture (special lecture) John W. Morgan Columbia University, USA https://www.mathunion.org/icm/icm-videos/icm-2006-videos-madrid-spain/icm-madrid-videos-24082006

From playlist Mathematics

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Simply connected regions | MIT 18.02SC Multivariable Calculus, Fall 2010

Simply connected regions Instructor: Christine Breiner View the complete course: http://ocw.mit.edu/18-02SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.02SC: Homework Help for Multivariable Calculus

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STPM - New Tools for an Old Problem: The Dynamics of Area Preserving Disc Maps - Braney Bramham

Braney Bramham Institute for Advanced Study September 21, 2010 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Classification results for two-dimensional Lagrangian tori - Dimitroglou Rizell

Princeton/IAS Symplectic Geometry Seminar Topic: Classification results for two-dimensional Lagrangian tori Speaker: Georgios Dimitroglou-Rizell Date: Thursday, April 7 We present several classification results for Lagrangian tori, all proven using the splitting construction from symp

From playlist Mathematics

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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

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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

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Stable Plasma Torus

More Info: https://www.caltech.edu/news/engineers-create-stable-plasma-ring-open-air-80367 Researchers in the Gharib Lab have created a stable plasma ring using just a stream of water and an electrically charged glass plate. Credit: Caltech

From playlist Our Research

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Simplicial Complexes - Your Brain as Math Part 2 | Infinite Series

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi What is a Simplicial Complex and how can it help us decode the brain’s neurological structure? This is Part 2 in our Your Brain as Math mini-series. Check out Part 1 h

From playlist Your Brain as Math

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Torus Earth

Spherical Earth: https://skfb.ly/NNrH Torus Earth: https://skfb.ly/MYpC Shapeways link: http://shpws.me/M9NI Joint work with Saul Schleimer.

From playlist 3D printing

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Smale's inside out paradox

This week’s video is about the beautiful mathematics you encounter when you try to turn ghostlike closed surfaces inside out. Learn about the mighty double Klein bottle trick, be one of the first to find out about a fantastic new way to turn a sphere inside out and have another go at earni

From playlist Recent videos

Related pages

Hyperbolic Dehn surgery | Compact space | Fundamental group | Manifold | Topological space | Homology (mathematics) | Connected space | Homotopy | Mathematics | Torus | Whitehead manifold | Reeb foliation | Cartesian product | Circle | Disk (mathematics) | Product topology | Isomorphism