Truncated order-7 triangular tiling

Triangle tilings

(5,3,2) triangle tiling: http://shpws.me/NW2E (7,3,2) triangle tiling (small): http://shpws.me/NW3A (6,3,2) triangle tiling: http://shpws.me/NW3H (4,3,2) triangle tiling: http://shpws.me/NW3K (3,3,2) triangle tiling: http://shpws.me/NW3J (4,4,2) triangle tiling: http://shpws.me/NW3M

From playlist 3D printing

How Many Faces, Edges And Vertices Does A Triangular Prism Have?

How Many Faces, Edges And Vertices Does A Triangular Prism Have? Here we’ll look at how to work out the faces, edges and vertices of a triangular prism. We’ll start by counting the faces, these are the flat surfaces that make the shape. A triangular prism has 5 faces altogether - 2 tria

From playlist Faces, edges and Vertices of 3D shapes

How to construct a Tetrahedron

How the greeks constructed the first platonic solid: the regular tetrahedron. Source: Euclids Elements Book 13, Proposition 13. In geometry, a tetrahedron also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. Th

From playlist Platonic Solids

Regular polyhedra

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q0PF.

From playlist 3D printing

Yoshiyuki Kotani -Tiling of 123456-edged Hexagon - G4G13 Apr 2018

The theme is the tiling of flat plane by the hexagon which has the edges of 1,2,3,4,5,6 length, and that of other polygons of different edges. It is a very tough problem to make a tiling by a different edged polygon. Polygon tiling of plane often needs edges of the same lengths. It is well

From playlist G4G13 Videos

How Many Faces, Edges And Vertices Does A Triangular Pyramid Have?

How Many Faces, Edges And Vertices Does A Triangular Pyramid Have? Here we’ll look at how to work out the faces, edges and vertices of a triangular pyramid. We’ll start by counting the faces, these are the flat surfaces that make the 3D shape. A triangular pyramid has 4 faces altogether

From playlist Faces, edges and Vertices of 3D shapes

Polygonal Numbers - Geometric Approach & Fermat's Polygonal Number Theorem

I created this video with the YouTube Video Editor (http://www.youtube.com/editor)

From playlist ℕumber Theory

How Many Faces, Edges And Vertices Does A Octagonal Prism Have?

How Many Faces, Edges And Vertices Does A Octagonal Prism Have? Here we’ll look at how to work out the faces, edges of vertices of an octagonal prism. We’ll start by counting the faces, these are the flat surfaces that make the 3D shape. An octagonal prism has 10 faces altogether - 2 o

From playlist Faces, edges and Vertices of 3D shapes

Bridges 2017 talk - Non-euclidean virtual reality

This is a talk I gave with Sabetta Matsumoto (Georgia Tech) at the Bridges conference on mathematics and the arts (http://bridgesmathart.org/), on 27th July 2017, about my papers with Vi Hart, Andrea Hawksley and Sabetta Matsumoto: http://archive.bridgesmathart.org/2017/bridges2017-33.htm

From playlist GPU shaders

Bridges 2018 talk - Visualizing hyperbolic honeycombs

This is a talk I gave at the Bridges conference on mathematics and the arts (http://bridgesmathart.org/), on 27th July 2018, about my JMA paper with Roice Nelson: https://www.tandfonline.com/doi/abs/10.1080/17513472.2016.1263789 Many high resolution images at hyperbolichoneycombs.org Ray-m

From playlist Talks

Michael Weinstein - Discrete honeycombs, rational edges and edge states - IPAM at UCLA

Recorded 30 March 2022. Michael Weinstein of Columbia University, Applied Physics and Applied Mathematics, presents "Discrete honeycombs, rational edges and edge states" at IPAM's Multiscale Approaches in Quantum Mechanics Workshop. Abstract: We first discuss the derivation of tight bindin

From playlist 2022 Multiscale Approaches in Quantum Mechanics Workshop

High density phases of hard-core lattice particle systems - Ian Jauslin

Members' Seminar Topic: High density phases of hard-core lattice particle systems Speaker: Ian Jauslin Affiliation: Member, School of Mathematics Date: October 30, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

How to Construct a Dodecahedron

How the greeks constructed the Dodecahedron. Euclids Elements Book 13, Proposition 17. In geometry, a dodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. A regular dode

From playlist Platonic Solids

Computational Linear Algebra 3: Review, New Perspective on NMF, & Randomized SVD

Course materials available here: https://github.com/fastai/numerical-linear-algebra We review the topics from videos 1 and 2. We look at a new example of topic modeling (using NMF and SVD) on a collection of 27 classic British novels. We cover how randomized SVD can be used to calculate

From playlist Computational Linear Algebra

P. Di Francesco: "Triangular Ice Combinatorics"

Asymptotic Algebraic Combinatorics 2020 "Triangular Ice Combinatorics" P. Di Francesco - University of Illinois & IPhT Saclay Abstract: Alternating Sign Matrices (ASM) are at the confluent of many interesting combinatorial/algebraic problems: Laurent phenomenon for the octahedron equatio

From playlist Asymptotic Algebraic Combinatorics 2020

An Introduction to Tensor Renormalization Group by Daisuke Kadoh

PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II

From playlist NUMSTRING 2022

Fourier Series [Matlab]

This video will describe how to compute the Fourier Series in Matlab. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 2 from: "Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by Brunt

From playlist Data-Driven Science and Engineering

Jin-Peng Liu - Efficient quantum algorithms for nonlinear ODEs and PDEs - IPAM at UCLA

Recorded 27 January 2022. Jin-Peng Liu of the University of Maryland presents "Efficient quantum algorithms for nonlinear ODEs and PDEs" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: Nonlinear dynamics play a prominent role in many domains and are notoriously difficult to

From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022

Domino tilings of squares | MegaFavNumbers

This video is part of the #MegaFavNumbers project. Domino tiling is a tessellation of the region in the Euclidean plane by dominos (2x1 rectangles). In this video we consider square tilings. Sequence, where each element is equal to the number of tilings of an NxN square, is growing reall

From playlist MegaFavNumbers

Seminar In the Analysis and Methods of PDE (SIAM PDE): Michael Weinstein

Title: Effective Gaps for Time-Periodic Hamiltonians Modeling Floquet Materials Date: Thursday, February 2, 2023, 11:30 am EDT Speaker: Michael Weinstein, Columbia University Abstract: Floquet media are a type of material, in which time-periodic forcing is applied to alter the material’

From playlist Seminar In the Analysis and Methods of PDE (SIAM PDE)