Modular forms | Algebraic numbers | Exactly solvable models
In statistical mechanics, the hard hexagon model is a 2-dimensional lattice model of a gas, where particles are allowed to be on the vertices of a triangular lattice but no two particles may be adjacent. The model was solved by Baxter, who found that it was related to the Rogers–Ramanujan identities. (Wikipedia).
Square and Regular Hexagon Action: Challenge Problem
Link: https://www.geogebra.org/m/dxsNFYWQ
From playlist Geometry: Challenge Problems
Helical Slide with Regular Heptagon Cross Sections
Enjoy going down this helical slide! Cross sections of planes containing the zAxis & this surface are REGULAR HEPTAGONS. Created with parametric equations & right triangle #trig in #GeoGebra #3D #Calculator: geogebra.org/3d/j52x8npd. #MTBoS #ITeachMath #math #maths #EdTech
From playlist GeoGebra 3D with AR (iOS): Explorations, Demos, and Lesson Ideas
Based on a Youtube video (https://youtu.be/dQyIJUTMpvg). The rails are assembled as one wishes. There are 3 types, linear, curved and helicoidal. I assembled as the video shows. Modeled with Solidworks 2015. Rendered with Simlab Composer 6 Mechanical Edition.
From playlist Wooden Toys
Based on a Youtube video by Grand Illusions (https://www.youtube.com/user/henders007), named Helicone (https://www.youtube.com/watch?v=nkmBLPHGp0E). The video doesn't show how it works, so I made my own version. A very interesting object. Modeled with Solidworks 2015. Rendered with Simlab
From playlist Wooden Toys
How To Make a Hexaflexagon: The Definitive Guide
Printable patterns: http://vihart.com/hexaflexagons Shirts (we only printed a limited run, sorry if we're sold out of your favourite!): https://store.dftba.com/collections/vi-hart This video is supported not mostly by shirts but mostly by viewers like you! Thanks especially to: Caleb Wri
From playlist Hexaflexagon Series
This geometry video tutorial provides a basic introduction into polygons. It explains how to identify if a figure is a regular polygon from those that are not polygons. Polygons have a 2D shape, they are closed figures, and do not contain intersecting lines and open sections. This video
From playlist GED Math Playlist
Constructing a Hexagon (with a compass)
This video focuses on how to construct a regular hexagon with a compass and straightedge. I also explain the concept of why the construction works by exploring the anatomy of a regular hexagon. If you found this video helpful, please click the LIKE and SUBSCRIBE buttons below, it helps me
From playlist Geometry
Andy Lucas: "Electron hydrodynamics with a polygon Fermi surface"
Theory and Computation for 2D Materials "Electron hydrodynamics with a polygon Fermi surface" Andy Lucas, University of Colorado, Boulder Abstract: I will discuss a cartoon model for the onset of hydrodynamic behavior in an electron fluid with a polygon Fermi surface. Some interesting fe
From playlist Theory and Computation for 2D Materials 2020
Oded Schramm: Conformally Invariant Random Processes
This lecture was held at The University of Oslo, May 24, 2006 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2006 1. “A Scandinavian Chapter in Analysis” by Lennart Carleson, Kungliga Tekniska Högskolan, Swede
From playlist Abel Lectures
Marjorie Wikler Senechal - Unwrapping a Gem - CoM Apr 2021
If the celebrated Scottish zoologist D’Arcy W. Thompson (1860 – 1948) could have met the near-legendary German astronomer Johannes Kepler (1571 – 1630), what would they talk about? Snowflakes, maybe? It is true that both men wrote about their hexagonal shapes. But they both wrote about Arc
From playlist Celebration of Mind 2021
Long range order in the distorted kagome lattice of Y-kapellasite by Fabrice Bert
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS: Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/2toQ.
From playlist 3D printing
The Mystery of Saturn’s Giant Hexagonal Storm May Soon Be Solved
Saturn’s hexagonal storm has been raging for decades for reasons unknown… until now. » Subscribe to Seeker! http://bit.ly/subscribeseeker » Watch more Elements! http://bit.ly/ElementsPlaylist » Visit our shop at http://shop.seeker.com Saturn has a giant 18,000-mile, hexagon-shaped cloud
From playlist Elements | Season 4 | Seeker
Algebraic combinatorics: applications to statistical mechanics and complexity theory - Greta Panova
Short proofs are hard to find (joint work w/ Toni Pitassi and Hao Wei) - Ian Mertz Computer Science/Discrete Mathematics Seminar II Topic: Short proofs are hard to find (joint work w/ Toni Pitassi and Hao Wei) Speaker: Ian Mertz Affiliation: University of Toronto Date: December 5, 2017 F
From playlist Mathematics
RailsConf 2014 - Domain Driven Design and Hexagonal Architecture with Rails
By Eric Roberts and Declan Whelan You know that Domain Driven Design, Hexagonal Architecture, and the Single Responsibility Principle are important but it's hard to know how to best apply them to Rails applications. Following the path of least-resistance will get you in trouble. In this s
From playlist RailsConf 2014
Exactly solved models by R. Rajesh
DATES Friday 01 Jul, 2016 - Friday 15 Jul, 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the seventh in the series. The school is being jointly organised by the International Centre for Theoretical Sciences (ICTS) and the Raman Research Institute (RRI). T
From playlist Bangalore School On Statistical Physics - VII
Arno Kuijlaars: Tilings of a hexagon and non-hermitian orthogonality on a contour
I will discuss polynomials $P_{N}$ of degree $N$ that satisfy non-Hermitian orthogonality conditions with respect to the weight $\frac{\left ( z+1 \right )^{N}\left ( z+a \right )^{N}}{z^{2N}}$ on a contour in the complex plane going around 0. These polynomials reduce to Jacobi polynomials
From playlist Probability and Statistics
Geometry: Ch 4 - Geometric Figures (11 of 18) The Regular Hexagon Analyzed with Trig
Visit http://ilectureonline.com for more math and science lectures! In this video I will further explain the regular hexagon using trigonometry the details of the regular hexagon. Next video in this series can be seen at: https://youtu.be/oaT0pSYDVZI
From playlist GEOMETRY 4 - GEOMETRIC FIGURES
Area of an interior hexagon (visual proof) - plus a bonus area!
This is a short, animated visual proof of a relatively recent proof about the area of the certain regular hexagon inside of a regular hexagon. The inner hexagon has been created from the region obtained by connecting vertices of the outer hexagon to appropriate edge midpoints of the outer
From playlist Proofs Without Words
Lecture 21 (CEM) -- RCWA Tips and Tricks
Having been through the formulation and implementation of RCWA in previous lectures, this lecture discussed several miscellaneous topics including modeling 1D gratings with 3D RCWA, formulation of a 2D RCWA that incorporates fast Fourier factorization, RCWA for curved structures, truncatin
From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering