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

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 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

Odd Squares as Difference of Triangular Numbers (visual proof)

This is a short, animated visual proof demonstrating how to visualize odd squares as the difference of two triangular numbers. #mathshorts​ #mathvideo​ #math​ #numbertheory #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #squares #triangula

From playlist Triangular Numbers

Using a set of points determine if the figure is a parallelogram using the midpoint formula

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

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

Hyperbolic Fractal Tilings and Surfaces – Robert Fathauer

From playlist G4G11 Videos

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

60 = 58 = 59 (Visual Curry triangle dissection)

This is a short, animated visual proof showing that 60 = 58 = 59, and then investigating where the diagram goes wrong. #math​ #paradox #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #calculus #dissection #area #currytriangle #missingsquar

From playlist Geometry

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

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

Squares Modulo 3 (visual proof)

This is a short, animated visual proof demonstrating how to visualize the congruence classes of squares modulo 3. #mathshorts​ #mathvideo​ #math​ #numbertheory #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #squares #modulararithmetic #num

From playlist Number Theory

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

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

Christian Krattenthaler - Determinants and Pfaffians in Enumerative Combinatorics (2011)

Slides for this talk: http://www.mat.univie.ac.at/~kratt/vortrag/combdet.pdf Abstract: In this talk I shall explain why many enumerative combinatorialists are fascinated by determinants — obviously from a strongly biased personal perspective. The particular sources where determinants ari

From playlist Mathematics

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

Geoffrey Grimmett (University of Cambridge, UK) by Geoffrey Grimmett

PROGRAM FIRST-PASSAGE PERCOLATION AND RELATED MODELS (HYBRID) ORGANIZERS: Riddhipratim Basu (ICTS-TIFR, India), Jack Hanson (City University of New York, US) and Arjun Krishnan (University of Rochester, US) DATE: 11 July 2022 to 29 July 2022 VENUE: Ramanujan Lecture Hall and online This

From playlist First-Passage Percolation and Related Models 2022 Edited

Determining if a set of points makes a parallelogram or not

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane