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

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 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

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

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

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

Introduction to Tiling Theory

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

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

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

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

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

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

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

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

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

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

WHAT IS THE DEFINITION OF A MATHEMATICAL TILING: introducing the basics of math tiling | Nathan D.

I go through the basics behind the question, "what is the definition of a mathematical tiling". While introducing the basics of math tiling objects, we introduce the definitions of a partition, topological disc, and a prototile. By introducing these ideas and definitions, we are able to an

From playlist The New CHALKboard

Convex real projective Dehn fillings (Remote Talk) by Gye Seon Lee

Surface Group Representations and Geometric Structures DATE: 27 November 2017 to 30 November 2017 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The focus of this discussion meeting will be geometric aspects of the representation spaces of surface groups into semi-simple Lie groups. Classi

From playlist Surface Group Representations and Geometric Structures

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