Modular forms | Algebraic numbers | Exactly solvable models

Hard hexagon model

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).

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Square and Regular Hexagon Action: Challenge Problem

Link: https://www.geogebra.org/m/dxsNFYWQ

From playlist Geometry: Challenge Problems

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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

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Roller-Coaster Toy 3D Model

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

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Helicone Wooden Toy 3D Model

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

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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

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Polygons

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

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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

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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

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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

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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

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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)

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Hilbert Curve

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

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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

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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

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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

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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

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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

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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

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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

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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

Related pages

Euler function | Rogers–Ramanujan identities | Algebraic number | Golden ratio | Hexagonal lattice | Dedekind eta function