Algebraic geometry | Configurations (geometry)

Klein configuration

In geometry, the Klein configuration, studied by Klein, is a geometric configuration related to Kummer surfaces that consists of 60 points and 60 planes, with each point lying on 15 planes and each plane passing through 15 points. The configurations uses 15 pairs of lines, 12 . 13 . 14 . 15 . 16 . 23 . 24 . 25 . 26 . 34 . 35 . 36 . 45 . 46 . 56 and their reverses. The 60 points are three concurrent lines forming an odd permutation, shown below. The sixty planes are 3 coplanar lines forming even permutations, obtained by reversing the last two digits in the points. For any point or plane there are 15 members in the other set containing those 3 lines. [Hudson, 1905] (Wikipedia).

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Folding the Klein Quartic

https://github.com/timhutton/klein-quartic

From playlist Geometry

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Klein Quartic folding

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

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Round Klein Bottle (Large)

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

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The Klein Quartic

Made from 24 heptagons. Source code and meshes here: https://github.com/timhutton/klein-quartic

From playlist Geometry

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Not the Klein Quartic

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

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Round Klein Bottle (Small)

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

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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

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Interacting squares on a topological Klein bottle

In this video, 1007 particles on a topological Klein bottle interact through a Lennard-Jones-type potential which is not rotationally invariant, but has the symmetry of a square. A topological Klein bottle is obtained by identifying opposite sides of a rectangle, almost as for a torus. H

From playlist Molecular dynamics

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Field Theory Fundamentals in 20 Minutes!

Field theory is the mathematical language that we use to describe the deepest theories of physics. I'll teach you the basics in about 20 minutes. Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up Take my full course on Lagrangian mechanics! https://courses.p

From playlist Lagrangian Mechanics Sequence

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Henry Adams (6/4/20): Descriptors of Energy Landscapes using Topological Analysis (DELTA)

Title: Descriptors of Energy Landscapes using Topological Analysis (DELTA) Abstract: Many of the properties of a chemical system are described by its energy landscape, a real-valued function defined on a high-dimensional domain. I will explain how topology, and in particular persistent ho

From playlist DELTA (Descriptors of Energy Landscape by Topological Analysis), Webinar 2020

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Hunt for the Elusive 4th Klein Bottle - Numberphile

Carlo Séquin on his search for the elusive "fourth type of Klein bottle". More videos on Klein Bottles: http://bit.ly/KleinBottles More links & stuff in full description below ↓↓↓ Carlo's paper: http://bit.ly/Carlo_Klein Also featuring Carlo: Mobius House https://youtu.be/iwo7JReFTeg Tor

From playlist Carlo Séquin on Numberphile

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Velocity Europe Conference 2013, Jonathan Klein: Automating WebPagetest with wpt-script

http://velocityconf.com WebPagetest is an awesome tool, but out of the box there isn't an easy way to run large numbers of tests and get performance trends over time. This demo will show off wpt-script, a tool that Etsy wrote and open sourced to make this process much easier! Jonathan Kle

From playlist Velocity Europe 2013

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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

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DEFCON 18: WPA Too 1/4

Clip 1/4 Speaker: Md Sohail Ahmad Manager R&D, AirTight Networks WPA2 is the most robust security configuration available today for WiFi networks. It is widely used to secure enterprise WLANs. Interestingly, it is also being used to secure guest, municipal and public WiFi networks. In

From playlist DEFCON 18-1

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Applied topology 1: Datasets have shape

Applied topology 1: Datasets have shape Abstract: We try to motivate the fact that datasets have shape, and those shapes can reflect important patterns within the dataset. We give a high-level overview of a diabetes dataset in which two flares correspond to Type I vs Type II diabetes, and

From playlist Applied Topology - Henry Adams - 2021

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Embedded Recipes 2017 - Long-Term Maintenance for Embedded Systems for 10+ Years - Marc Kleine-Budde

The technical side of how to build embedded Linux systems solved by now: Take the kernel, a build system, add some patches, integrate your application and you’re done! In reality though, most of the embedded systems we build are connected to the Internet and run most of the same software

From playlist Embedded Recipes 2017

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Sporadic groups

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

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Electron Configuration

Watch more videos on http://www.brightstorm.com/science/chemistry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ►

From playlist Chemistry

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Henry Adams (5/3/22): Topology in Machine Learning

Abstract: How do you "vectorize" geometry, i.e., extract it as a feature for use in machine learning? One way is persistent homology, a popular technique for incorporating geometry and topology in data analysis tasks. I will survey applications arising from materials science, computer visi

From playlist Tutorials

Related pages

Kummer surface