Exactly solvable models | Combinatorics | Matching (graph theory) | Recreational mathematics | Tiling puzzles
In geometry, a domino tiling of a region in the Euclidean plane is a tessellation of the region by dominoes, shapes formed by the union of two unit squares meeting edge-to-edge. Equivalently, it is a perfect matching in the grid graph formed by placing a vertex at the center of each square of the region and connecting two vertices when they correspond to adjacent squares. (Wikipedia).
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
Tiling dominoes | Dynamic programming
Walkthrough of dynamic programming on how to tile dominoes on a grid. Problem: https://open.kattis.com/problems/tritiling Source code: https://github.com/williamfiset/Algorithms/tree/master/src/main/java/com/williamfiset/algorithms/dp/examples/tilingdominoes Video slides: https://github
From playlist Dynamic Programming
Tiling Dominoes and Trominoes (Leetcode 790) | Dynamic Programming
Explanation video on how to tile a 2xN grid with dominoes and L shaped trominoes. Leetcode problem: https://leetcode.com/problems/domino-and-tromino-tiling/ Source code: https://github.com/williamfiset/Algorithms/tree/master/src/main/java/com/williamfiset/algorithms/dp/examples/domino-an
From playlist Dynamic Programming
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
Inspired by https://www.youtube.com/watch?v=EYkBctqyKic
From playlist Handmade geometric toys
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
This video was created using the Blender 2.79 and rendered with Cycler Render. I have taken the idea here: https://www.youtube.com/watch?v=lo6x4eulY9g Thanks Hevesh5 !
From playlist Domino's art
Emmanuel Jeandel : The undecidability of the domino problem
Abstract: One of the most fundamental problem in tiling theory is to decide, given a surface, a set of tiles and a tiling rule, whether there exist a way to tile the surface using the set of tiles and following the rules. As proven by Berger in the 60's, this problem is undecidable in gene
From playlist Combinatorics
This is Lecture 13 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2013.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
Secrets of the Fibonacci Tiles - 3B1B Summer of Math Exposition
A simple problem about tiling will explain multiple patterns hidden in the Fibonacci sequence. Music by Michael Severson https://www.instagram.com/michaeljseverson/. Animations created using https://www.manim.community/. Entry for the 3blue1brown summer of math exposition contest https:
From playlist Summer of Math Exposition Youtube Videos
The ARCTIC CIRCLE THEOREM or Why do physicists play dominoes?
I only stumbled across the amazing arctic circle theorem a couple of months ago while preparing the video on Euler's pentagonal theorem. A perfect topic for a Christmas video. Before I forget, the winner of the lucky draw announced in my last video is Zachary Kaplan. He wins a copy of m
From playlist Recent videos
Sylvie Corteel: Le diamant aztèque - Cours 1
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Combinatorics
By arranging enough dominos into just the right structure, we can build a computer. But how do we arrange dominos in such a way that they can perform computation? Here, we explore the process of building domino logical circuits by carefully arranging dominos into configurations that can co
From playlist Spanning Tree Favorites
Nathalie Aubrun: About the Domino problem on finitely generated groups - Lecture 1
Abstract: Subshifts of finite type are of high interest from a computational point of view, since they can be described by a finite amount of information - a set of forbidden patterns that defines the subshift - and thus decidability and algorithmic questions can be addressed. Given an SFT
From playlist Mathematical Aspects of Computer Science
The (Fascinating) Sudoku With 20 Given Digits
*** NEW STUFF !!! *** We have just released a GAS expansion pack on our Cracking The Cryptic app. 60 puzzles by Sam Cappleman-Lynes, Clover and Philip Newman!! Earn party hats and dinosaurs with these brand new puzzles! TODAY is Patreon reward day: The 12 Labours Of Hercules is a fanta
From playlist Aad Van De Wetering Puzzles
Think Thursday: Tiling with Dominoes [logic]
Be sure to check out our blog for the full solution transcript! https://centerofmathematics.blogspot.com/2017/09/think-thursday-9-14-17-tiling-with.html
From playlist Center of Math: Think Thursday Problems
IMS Public Lecture: From Puzzles to Moduli Spaces
Hugo Parlier, University of Fribourg, Switzerland
From playlist Public Lectures
(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