Self-replication | Tessellation
A self-tiling tile set, or setiset, of order n is a set of n shapes or pieces, usually planar, each of which can be tiled with smaller replicas of the complete set of n shapes. That is, the n shapes can be assembled in n different ways so as to create larger copies of themselves, where the increase in scale is the same in each case. Figure 1 shows an example for n = 4 using distinctly shaped decominoes. The concept can be extended to include pieces of higher dimension. The name setisets was coined by Lee Sallows in 2012, but the problem of finding such sets for n = 4 was asked decades previously by C. Dudley Langford, and examples for polyaboloes (discovered by Martin Gardner, Wade E. Philpott and others) and polyominoes (discovered by Maurice J. Povah) were previously published by Gardner. (Wikipedia).
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
(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
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
There is more than one way to tile the plane. In this video we'll explore hexagonal tiling. Hexagonal tiling can be used to make many cool effects. Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.patreon.com/TheArtOfCode PayPal Donation
From playlist Tools
Geogebra Tutorial : Union and Intersection of Sets
Union and intersection of sets can be drawing with geogebra. Please see the video to start how drawing union and intersection of sets. more visit https://onwardono.com
From playlist SET
Cindy Lawrence - Play Truchet: Truchet Tiling to Engage the Public with Mathematics - G4G13 Apr 2018
In 1704, Sébastien Truchet considered all possible patterns formed by tilings of a square tile split along the diagonal into two triangles. This original tiling was modified to create a single tile consisting of two circular arcs centered at opposite corners of a square, resulting in an ae
From playlist G4G13 Videos
SET is an awesome game that really gets your brain working. Play it! Read more about SET here: http://theothermath.com/index.php/2020/03/27/set/
From playlist Games and puzzles
Grid Painting Question (1 of 2: Establishing a base case)
More resources available at www.misterwootube.com
From playlist The Nature of Proof
Nathalie Priebe Frank : Introduction to hierarchical tiling dynamical systems
Abstract: These lectures introduce the dynamical systems approach to tilings of Euclidean space, especially quasicrystalline tilings that have been constructed using a 'supertile method'. Because tiling dynamics parallels one-dimensional symbolic dynamics, we discuss this case as well, hig
From playlist Dynamical Systems and Ordinary Differential Equations
2048 FROM SCRATCH, PART 2! - CS50 Live, EP. 61
Join CS50's Colton Ogden for a second part of implementing the famous web game, 2048, from scratch in LÖVE and Lua. In this episode, we'll look at refactoring our existing code, as well as getting number merging and coloring working properly, with eventually a score and loss condition bein
From playlist CS50 on Twitch
Andrei Romashchenko: On centauric subshifts
Abstract : We discuss subshifts of finite type (tilings) that combine virtually opposite properties, being at once very simple and very complex. On the one hand, the combinatorial structure of these subshifts is rather simple: we require that all their configurations are quasiperiodic, or
From playlist Logic and Foundations
[Rust Programming] Advent of Code 2022 Day 22 - Monkey Map
My Rust solution for Day 22 of Advent of Code 2022. I livestream these on twitch every weekday morning, starting between 7 and 7:30am Eastern/US time. I usually stream for about 1-2 hours, depending on how well my voice holds out. Come join me! https://www.twitch.tv/unclescientist 0:00 P
From playlist Advent of Code 2022
[Rust Programming] Learning to make a Roguelike - Day 40
[Recorded on 1 December, 2021] I've been playing Roguelikes for many years, and I've always thought about making one! Combine that with a desire to learn Rust, and we've got a match made in heaven. This session was recorded live from twitch on 1 December. I'm using the Roguelike Tutorial
From playlist [Rust Programming] Writing Roguelike using RLTK
Boris Solomyak: Lecture on Delone sets and Tilings
Abstract: In this lecture we focus on selected topics around the themes: Delone sets as models for quasicrystals, inflation symmetries and expansion constants, substitution Delone sets and tilings, and associated dynamical systems. Recording during the Jean-Morlet chair research school "T
From playlist Dynamical Systems and Ordinary Differential Equations
[Rust Programming] Learning to make a Roguelike - Day 38
[Recorded on 29 November, 2021] I've been playing Roguelikes for many years, and I've always thought about making one! Combine that with a desire to learn Rust, and we've got a match made in heaven. This session was recorded live from twitch on 29 November. I'm using the Roguelike Tutori
From playlist [Rust Programming] Writing Roguelike using RLTK
2048 FROM SCRATCH, PART 3! CS50 Live, EP 62
From playlist CS50 on Twitch
[Rust Programming] Learning to make a Roguelike - Day 36
[Recorded on 23 November, 2021] I've been playing Roguelikes for many years, and I've always thought about making one! Combine that with a desire to learn Rust, and we've got a match made in heaven. This session was recorded live from twitch on 23 November. I'm using the Roguelike Tutori
From playlist [Rust Programming] Writing Roguelike using RLTK
[Rust Programming] Learning to make a Roguelike - Day 35
[Recorded on 22 November, 2021] I've been playing Roguelikes for many years, and I've always thought about making one! Combine that with a desire to learn Rust, and we've got a match made in heaven. This session was recorded live from twitch on 22 November. I'm using the Roguelike Tutori
From playlist [Rust Programming] Writing Roguelike using RLTK
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