https://github.com/timhutton/klein-quartic This is work in progress. The transition is linear at the moment, which causes a lot of self-intersection.
From playlist Geometry
I made this video when I thought I had made a model of the Klein Quartic. But it is wrong, so please ignore it. You can find a corrected version here: https://www.youtube.com/watch?v=ADtwLnxLPTI
From playlist Geometry
Made from 24 heptagons. Source code and meshes here: https://github.com/timhutton/klein-quartic
From playlist Geometry
The three types of eight-fold way path on the Klein Quartic
Source code and mesh files here: https://github.com/timhutton/klein-quartic
From playlist Geometry
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/3kIo
From playlist 3D printing
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Klein Four-Group is the smallest noncyclic abelian group. Every proper subgroup is cyclic. We look at the the multiplication in the Klein Four-Group and find all of it's subgroups.
From playlist Abstract Algebra
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/2p3Z
From playlist 3D printing
Gunnar Carlsson (5/9/22): Deep Learning and TDA
I will talk about some ways in which TDA interacts with the Deep Learning methodology. TDA can contribute to explainability as well as to the performance of Deep Learning models.
From playlist Bridging Applied and Quantitative Topology 2022
On Franco–German relations in mathematics, 1870–1920 – David Rowe – ICM2018
History of Mathematics Invited Lecture 19.1 On Franco–German relations in mathematics, 1870–1920 David Rowe Abstract: The first ICMs took place during a era when the longstanding rivalry between France and Germany strongly influenced European affairs. Relations between leading mathematic
From playlist History of Mathematics
Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - David Rowe - 17/11/17
En partenariat avec le séminaire d’histoire des mathématiques de l’IHP Wartime Memories of Gaston Darboux in Göttingen David Rowe, Université de Mayence, Allemagne À l’occasion du centenaire de la mort de Gaston Darboux, l’Institut Henri Poincaré souhaite retracer la figure du géomètre s
From playlist Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - 17/11/2017
Gunnar Carlsson (11/11/2021): Topological Deep Learning
Abstract: Deep Learning is a very powerful methodology that has a vst array of applications in many domains. Some of the problems that it has include "data hungriness", difficulty in generalization, and a general lack of transparency. I will discuss some TDA-inspired approaches building
From playlist AATRN 2021
Does the Universe have Higher Dimensions? Part 1
Signup for your FREE trial to The Great Courses Plus here: http://ow.ly/6ymM30rvhBa What do physicists mean when they talk about higher dimensional spaces, or space-times? How could we possibly not have noticed if space was not three-dimensional? In this first part, we will talk about th
From playlist Physics
Gunnar Carlsson (5/1/21): Topological Deep Learning
Machine learning using neural networks is a very powerful methodology which has demonstrated utility in many different situations. In this talk I will show how work in the mathematical discipline called topological data analysis can be used to (1) lessen the amount of data needed in order
From playlist TDA: Tutte Institute & Western University - 2021
AlgTop7: The Klein bottle and projective plane
The Klein bottle and the projective plane are the basic non-orientable surfaces. The Klein bottle, obtained by gluing together two Mobius bands, is similar in some ways to the torus, and is something of a curiosity. The projective plane, obtained by gluing a disk to a Mobius band, is one o
From playlist Algebraic Topology: a beginner's course - N J Wildberger
Illuminating hyperbolic geometry
Joint work with Saul Schleimer. In this short video we show how various models of hyperbolic geometry can be obtained from the hemisphere model via stereographic and orthogonal projection. 2D figure credits: 4:09 Cannon, Floyd, Kenyon, Parry. 0:49, 1:20, 1:31, 2:12, Roice Nelson. We th
From playlist 3D printing
Rod Gover - Geometric Compactification, Cartan holonomy, and asymptotics
Conformal compactification has long been recognised as an effective geometric framework for relating conformal geometry, and associated field theories « at infinity », to the asymptotic phenomena of an interior (pseudo‐)‐Riemannian geometry of one higher dimension. It provides an effective
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Introduction | Universal Hyperbolic Geometry 0 | NJ Wildberger
Hyperbolic geometry, in this new series, is made simpler, more logical, more general and... more beautiful! The new approach will be called `Universal Hyperbolic Geometry', since it extends the subject in a number of directions. It works over general fields, it extends beyond the usual dis
From playlist Universal Hyperbolic Geometry
Professor Gunnar Carlsson , Stanford University, USA
From playlist Public Lectures