Isohedral tilings | Order-8 tilings | Hyperbolic tilings | Regular tilings | Isogonal tilings | Triangular tilings
In geometry, the order-8 triangular tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {3,8}, having eight regular triangles around each vertex. (Wikipedia).
(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
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
Odd squares mod 8 and the Sum of Positive Integers (two facts from eight triangles; visual proof)
This is a short, animated visual proof demonstrating how to use eight triangular arrays to find the congruence class of odd squares modulo 8 AND how to use the same diagram to produce a formula for the sum of the first n positive integers. #mathshorts #mathvideo #math #numbertheory #mtb
From playlist Number Theory
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
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
In this mini-lecture, we explore tilings found in everyday life and give the mathematical definition of a tiling. In particular, we think about: (i) traditional Islamic tilings; (ii) floor, wallpaper, pavement, and architectural tilings; (iii) the three regular tilings using either equilat
From playlist Maths
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 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
The Collapse of Viruses: Graph-Based Percolation Theory in the Wolfram Language
Graph-based percolation theory may be done in the Wolfram Language, here to aid in the understanding of viruses, their disassembly and eventual collapse. Capsids are protein nanocontainers that store and protect a virus’s genetic material in transit between hosts. Capsids consist of hundre
From playlist Wolfram Technology Conference 2020
Rachel Quinlan - Paper for Wallpaper - CoM Oct 2021
This talk will present a case for an exploration of the wallpaper groups through the art and craft of origami. It will begin with a brief introduction to folding techniques for tessellations (and other patterns with symmetry), including some elementary moves that can be combined to produce
From playlist Celebration of Mind 2021
Talk by Sylvia Serfaty - From superconductors to Coulomb gases: crystallization questions
Sylvia Serfaty is the Silver Professor of Mathematics at the Courant Institute of Mathematical Sciences, New York University Abstract: The physicist Abrikosov predicted that in certain superconductors, one should observe triangular lattices of vortices, now called Abrikosov lattices. When
From playlist Friends of IHES Scientific Breakfast April 8, 2022
Active processes in cells and tissues (Lecture 3) by Frank Jülicher
INFOSYS-ICTS TURING LECTURES ACTIVE PROCESSES IN CELLS AND TISSUES SPEAKER: Frank Jülicher (Max Planck Institute for the Physics of Complex Systems, Dresden, Germany) DATE: 09 December 2019, 16:00 to 17:30 VENUE: Ramanujan Lecture Hall, ICTS-TIFR, Bengaluru Living matter is highly dyn
From playlist Infosys-ICTS Turing Lectures
Describing Sequences [Discrete Math Class]
This video is not like my normal uploads. This is a supplemental video from one of my courses that I made in case students had to quarantine. In this video, we discuss sequences. We focus on how to think about sequences and the terminology behind closed formulas and recursive formulas. We
From playlist Finite Sums
James Propp - Conjectural Enumerations of Trimer Covers of Finite Subgraphs of the Triangular (...)
The work of Conway and Lagarias applying combinatorial group theory to packing problems suggests what we might mean by “domain-wall boundary conditions” for the trimer model on the infinite triangular lattice in which the permitted trimers are triangle trimers and three-in-a-line trimers.
From playlist Combinatorics and Arithmetic for Physics: special days
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
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
MATHCOUNTS Practice Competition #4 Live Solve by Po-Shen Loh SUN
Welcome to the Official YouTube Channel of the Daily Challenge with Po-Shen Loh! Please subscribe to stay in touch. This time, Prof. Po-Shen Loh is going to collaborate with MATHCOUNTS, one of the biggest middle school math competitions in the US, AGAIN! In the next few months, Prof. Loh
From playlist MATHCOUNTS
From superconductors to Coulomb gases: crystallization questions - Sylvia Serfaty
Ruth and Irving Adler Expository Lecture in Mathematics Topic: From superconductors to Coulomb gases: crystallization questions Speaker: Sylvia Serfaty Affiliation: New York University Date: March 5, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Triangular numbers, Venn diagrams and probability.
From playlist PIXL PPE Paper 2 June 2016 Higher Tier AQA Style Worked Solutions
We continue our series on flat panel speakers with simple construction guidelines, performance comparisons and a complete system playing a variety of music. Skip to speakers playing music - 30:20 For a numbered and high resolution picture of the SPL graphs at 27:27 - https://drive.google
From playlist Sound