In mathematics, and especially topology and differential geometry, a pinched torus (or croissant surface) is a kind of two-dimensional surface. It gets its name from its resemblance to a torus that has been pinched at a single point. A pinched torus is an example of an orientable, compact 2-dimensional pseudomanifold. (Wikipedia).
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
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
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
necklace,two way,Torus by Villarceau circles,mobius ball
From playlist Handmade geometric toys
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
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
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
Semitoric families - Joseph Palmer
Symplectic Dynamics/Geometry Seminar Topic: Semitoric families Speaker: Joseph Palmer Affiliation: Rutgers University Date: October 8, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/KiL
From playlist 3D printing
Studying Fluid Flows with Persistent Homology - Rachel Levanger
Workshop on Topology: Identifying Order in Complex Systems Topic: Studying Fluid Flows with Persistent Homology Speaker: Rachel Levanger Affiliation: University of Pennsylvania Date: April 7, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Symplectic Dynamics of Integrable Hamiltonian Systems - Alvaro Pelayo
Alvaro Pelayo Member, School of Mathematics April 4, 2011 I will start with a review the basic notions of Hamiltonian/symplectic vector field and of Hamiltonian/symplectic group action, and the classical structure theorems of Kostant, Atiyah, Guillemin-Sternberg and Delzant on Hamiltonian
From playlist Mathematics
Eva Miranda: Geometric quantization of toric and semitoric systems
Abstract: One of the many contributions of Kostant is a rare gem which probably has not been sufficiently explored: a sheaf-theoretical model for geometric quantization associated to real polarizations. Kostant’s model works very well for polarizations given by fibrations or fibration-like
From playlist Topology
Gluing is a good method to construct new topological spaces from known ones. Here a rectangles is glued along the edges to form a torus. Often the fundamental group of the glued object can be calculated from the pieces (here a rectangles) and the glue (here two intersecting circles). Th
From playlist Algebraic Topology
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
Applied topology 2: Topology and homotopy equivalences
Applied topology 2: Topology and homotopy equivalences Abstract: From a high-level perspective, we try to explain what topology measures and ignores about shapes. We explain how a coffee cup is in some sense the same shape as a donut. Topologists often deem two shapes to be the same if th
From playlist Applied Topology - Henry Adams - 2021
Metaphors in Systolic Geometry - Larry Guth
Larry Guth University of Toronto; Institute for Advanced Study October 18, 2010 The systolic inequality says that if we take any metric on an n-dimensional torus with volume 1, then we can find a non-contractible curve in the torus with length at most C(n). A remarkable feature of the ine
From playlist Mathematics
Turning a Torus Inside-Out (Punctured Torus Eversion)
Cut a small hole in a donut. Can you turn it inside-out? The answer, as shown in this looping video, is "yes!" Notice how the blue inside becomes the red outside, and back again. Unlike the classic question of "turning the sphere inside out," which considers non-physical motions where
From playlist Repulsive Videos
On the existence of minimal Heegaard splittings - Dan Ketover
Variational Methods in Geometry Seminar Topic: On the existence of minimal Heegaard splittings Speaker: Dan Ketover Affiliation: Princeton University; Member, School of Mathematics Date: Oct 2, 2018 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Input: pink gear. Output: green gear. This is a constant velocity joint The torus gear was created on computer by bending a round rack of circular teeth. The spur gear drive (its transmission ratio = -1) ensures the meshing takes place at equal circles of the torus gears. Angle between t
From playlist Thang best animations
Atiyah's Connectivity, Morse Theory and Solution Sets - Alvaro Pelayo
Alvaro Pelayo Member, School of Mathematics April 13, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics